what is 9550 in torque calculation

T = KTi In most applications, electronic drivers control stepper motors. The torque of the reducer is inseparable from the motor speed, power and other factors. In physics, the torque is given as the twisting force that generate rotation of object. Energy saving calculator e-motors; Ohm's law. The above calculation is the torque equation. [1] Method 1 Finding Torque for Perpendicular Forces 1 Find the length of the moment arm. At this point, you can talk to either a consultant, the engine manufacturer, or the propeller manufacturer to determine where the vessel performance issue is coming from, and determine how to fix it. The most common method for measuring torque and power of an engine is through a dynamometer, or dyno test. Servo motor torque calculation formula: T = F * R * reduction ratio. by Binsfeld Engineering | Torque Measurement. The testing can be done with the equipment in place, and provides horsepower data quickly and accurately. Torque is power divided by angular speed. Torque = force x distance. Retrieved from https://www.thoughtco.com/calculating-torque-2698804. The more torque an engine produces, the greater its ability to perform work. Different gear arrangement gearbox with vary transmission efficiency: Single-stage planetary gear:97% , two-stage planetary gear:94%, three-stage planetary gear: 91%. Save my name, email, and website in this browser for the next time I comment. Torque is the tendency of a force to rotate an object about an axis. Add standard and customized parametric components - like flange beams, lumbers, piping, stairs and more - to your Sketchup model with the Engineering ToolBox - SketchUp Extension - enabled for use with the amazing, fun and free SketchUp Make and SketchUp Pro .Add the Engineering ToolBox extension to your SketchUp from the SketchUp Pro Sketchup Extension Warehouse! Calculations Torque. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. The pull-up torque may be critical for applications that needs power to go through some temporary barriers achieving working conditions. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. It is also a common method for quantifying the true power output for cars, as shown in the image below: Figure 1. When studying how objects rotate, it quickly becomes necessary to figure out how a given force results in a change in the rotational motion. For example, suppose you know that the moment of inertia for an object is 10 kgm. The efficiency of the gearbox is determined in part by the gear teeth, the rolling-contact bearing friction, and the shaft seal friction.It can be measured on a dedicated test bench, and the methods include the loss power method and the direct power measurement method. The straight line about which the object rotates is called . The thumb of your right hand now points in the direction of the torque vector. If youre ready to invest in a high-quality torque measurement system, talk to the experts at Binsfeld. ThoughtCo, Aug. 26, 2020, thoughtco.com/calculating-torque-2698804. P1N>=(T2n1)f1/(9550(n1/n2)m) can be derived from the power of the motor you want to select at this time. This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. "Calculating Torque." This image may not be used by other entities without the express written consent of wikiHow, Inc.
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\u00a9 2023 wikiHow, Inc. All rights reserved. This is the pivot point. AddThis use cookies for handling links to social media. The torque developed by an asynchronous induction motor varies when the motor accelerates from zero to maximum operating speed. Horsepower is defined as the rate of doing work, or how quickly work is accomplished. The Break-down Torque is the highest torque available before the torque decreases when the machine continues to accelerate to working conditions. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Torque is a measurement of twisting or rotational force. in). The formula you use is from times where unit aware calculation tools were not available. Knowingthe motor power, speed ratio and theuse coefficientand you want to know the torque of the reducer. The torque of a 60 hp motor rotating at 1725 rpm can be calculated as: NEMA (National Electrical Manufacturers Association) have classified electrical motors in four different designs where torques and starting-load inertia are important criteria. This method is what is used by engine manufacturers to develop the specifications for a particular engine. Servo motor torque calculation formula: T = F * R * reduction ratio. reducer torque = 9550motor powermotor power input revolutionspeed ratiouse coefficient Knowingthe torque, the output revolution of the reducer and the use coefficient, then how to calculate the motor power of the reducer? -feet of torque used with a gear reducer with a 10:1 gear ratio will give you 100 lb. Holding torque (T) is the product of a motor's torque constant (KT) and the current (i) applied to the stator windings. Slip: S = (Ns - N) / Ns * 100%; Energy Saving Calculator. The concept of reduction ratio: namely the transmission ratio of the reduction gear, which is a kind of transmission ratio. The formula is as follows: Knowingthe torque, the output revolution of the reducer and the usecoefficient, then how to calculate the motor power ofthe reducer. Try to imagine an object which rotates around a specific point. Engineering ToolBox - Resources, Tools and Basic Information for Engineering and Design of Technical Applications! This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. Cookies are only used in the browser to improve user experience. Doing so you can provide your variables in any (correct) units you like and will get a correct result. In imperial units the Full-load Torque can be expressed as, T = 5252 Php / nr (1), nr = rated rotational speed (rev/min, rpm), In metric units the rated torque can be expressed as, T = 9550 PkW / nr (2). Your email address will not be published. What is the function of the rectifier for brake motors? SI unit of Torque is newton metre (N m) The formula to find the torque is given as Torque = Force x Distance T = r F sin () Instead, the lug wrench fits onto the lug nuts so that it is at a 15% incline to the horizontal. After strict training, the after-service engineer could offer clients the rapid maintenance service on demand. The total power rating of the motor details can be found from the motor's nameplate details. This is a vector with a magnitude of the distance from where the force is applied to the axis of rotation. The 9550 in your formula is probably a conversion factor for some specific unit system, and you should get rid of it. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. I should get around 64 Nm but I get 3,8 milion Nm. This relationship is given by the following equation: By clicking Accept All Cookies, you agree to the storing of cookies on your device to enhance site navigation, analyze site usage, and assist in our marketing efforts. Force is what causes an object to accelerate in linear kinematics. T-torque; 9550-constant (do not have to find outits source); P-motor power (KW); n-output speed (rev/min r/min) Note: if When calculating the torque through the reducer gearbox, the factor of gear transmission efficiency loss should be considered. Define the calculation method: reduction ratio = input speed and output speed. Torque: Md = 9550 x P / n; Calculations slip. The costs and downtime associated with this approach can be significant. In this case, take your right hand and curl the fingers of your hand in the direction of rotation caused by the force. Similarly, torque is what causes an angular acceleration. You can look at RPMs and other engine metrics, but you need to know torque to calculate horsepower and effectively evaluate engine performance. Include your email address to get a message when this question is answered. The formula to find the torque is given asif(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[300,250],'physicscalc_com-medrectangle-4','ezslot_6',106,'0','0'])};__ez_fad_position('div-gpt-ad-physicscalc_com-medrectangle-4-0');if(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[300,250],'physicscalc_com-medrectangle-4','ezslot_7',106,'0','1'])};__ez_fad_position('div-gpt-ad-physicscalc_com-medrectangle-4-0_1');if(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[300,250],'physicscalc_com-medrectangle-4','ezslot_8',106,'0','2'])};__ez_fad_position('div-gpt-ad-physicscalc_com-medrectangle-4-0_2'); .medrectangle-4-multi-106{border:none !important;display:block !important;float:none !important;line-height:0px;margin-bottom:15px !important;margin-left:auto !important;margin-right:auto !important;margin-top:15px !important;max-width:100% !important;min-height:250px;min-width:300px;padding:0;text-align:center !important;}, Here are some examples of Torque Calculation. It points from the axis of rotation toward the point where the force is applied. No sign is necessary if the magnitude of the torque is positive. All of theseparameters are veryimportant. The magnitude of the vector is calculated based upon , which is the angle difference between r and F, using the formula: A couple of key points about the above equation, with some benchmark values of : Let's consider an example where you're applying a vertical force downward, such as when trying to loosen the lug nuts on a flat tire by stepping on the lug wrench. For AC motor: the rated torque = 9550 * rated power/ rated speed; For DC motor, due to the many types of product, it is . The ratio of degrees is represented by the symbol "I". The above tool requires the following data for calculation: Motor-rated power in HP or kW. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Torque measurement can provide you the information you need to keep heavy industrial and manufacturing machinery up and running properly and efficiently. Calculate the motor power of the gearbox via the following formula: Motor power = torque 9550 motor power input speed reduction ratio use coefficient. You can target the Engineering ToolBox by using AdWords Managed Placements. Definition and Equations, Difference Between Independent and Dependent Variables, M.S., Mathematics Education, Indiana University, The same argument as above applies to cases of. and rpm. The 9550 in your formula is probably a conversion factor for some specific unit system, and you should get rid of it. If you were determining the sine of the angle by hand, you would need the measurements for the opposite side and the hypotenuse side of a right triangle. Jones, Andrew Zimmerman. Binsfeld Engineering Inc. All Rights Reserved |, Binsfeld Engineering Inc Celebrates 50 Years, The Ultimate Guide to Marine Shaft Power (Torsion) Meters, Binsfeld Signs TME Solutions as New Sales Agent, Torsional Vibration Measurements on Reciprocating Compressor. In calculations, torque is represented by the Greek letter tau: . Duringthemodel selectionprocess of speed reducer, normally several parameters will be involved includingthe reduction ratio of the reducer gearbox, the output speed of the reducer, the matching motor power and the output mode of the speed reducer. 2) ne isn't right. You would find that the torque is 188 Nm: For example, suppose you're trying to figure out the magnitude of torque on a solid disc. Here, the torque often isn't calculated directly, but can instead be calculated in reference to the total angular acceleration, , that the object undergoes. Power measurements, on the other hand, are typically most important when quantifying the performance of the equipment driving the shaft (such as an engine). Enjoy! The service factor is also called the using factor or safety factor; especially for users who select the gearbox, the gearboxs use factor should be determined in combination with other factors like working conditions and driven machinery. In calculations, torque is represented by the Greek letter tau: . Torque is a vector quantity, meaning it has both a direction and a magnitude. Torque is an effective measurement when seeking to quantify the true mechanical torque on the driveline component, such as a driveshaft or a coupling. How do you calculate the torque of a gearbox? For example, suppose you have a force perpendicular to your object exerting 20 Newtons of force on the object 10 meters from the axis. The torque, output revolution of the gearbox, and use coefficient are given. Please check from the electric motor manufacturer as below to get more information about electric motor ; If there is any comments , welcome to leave me message. T = r F sin . For example, suppose you have a radial vector 10 meters long. Also, you can roughly calculate by the formula M=9950P/n. Ships that are functioning below their defined capabilities are not efficient, are likely consuming more fuel, and are generally performing at a loss. Torque calculator is used to find the value of torque which arises from a rotating object. Torque Conversion Calculator You can use this free torque conversion calculator to easily convert a range of torque measurement units including pound-force inches, Newton meters, kilogram-force centimeters, ounce-force inches, kilogram-force meters, among others. (2020, August 26). We and our partners use cookies to Store and/or access information on a device. Google use cookies for serving our ads and handling visitor statistics. By using this service, some information may be shared with YouTube. As weve mentioned before in our article on ship performance monitoring, when you have the ability to accurately measure and monitor horsepower, there are a number of performance diagnostics you can keep up on. The above equations are particularly helpful when there is a single known force acting on an object, but there are many situations where a rotation can be caused by a force that cannot easily be measured (or perhaps many such forces). This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. 1. For example, suppose you're told that the net torque is zero. Among them: t-torque; 9550-constant (no need to investigate its source); p-motor power (kw); n-output speed (rev/min). Some of our calculators and applications let you save application data to your local computer. 6.667 Hz is NOT 6.667 radians/second, To deal with the need to have both cycles per second and radians per second, Mathcad has "Hza," (angular Hertz?) He is the co-author of "String Theory for Dummies.". I am using formula: Torque=9550*P(kW)/n(rpm). This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. You can compare your horsepower calculation to what the manufacturer has stated to see how your ship is performing. % of people told us that this article helped them. The following formula: Motor power = torque9550motor power input speedspeed ratio use coefficient. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Mathcad is unit aware, it will deal with your units, changing the numbers to make the values match the units you put in (and adding units to make your equations balanced.). (For full case study, click HERE). After entering the required data, click on the "Calculate" button to find out the full load torque of the motor. 1) k is a unit conversion value you're used to if you've not been using Mathcad. and get the worked out procedure to better understand the concept.if(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[300,250],'physicscalc_com-medrectangle-3','ezslot_3',105,'0','0'])};__ez_fad_position('div-gpt-ad-physicscalc_com-medrectangle-3-0');if(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[300,250],'physicscalc_com-medrectangle-3','ezslot_4',105,'0','1'])};__ez_fad_position('div-gpt-ad-physicscalc_com-medrectangle-3-0_1');if(typeof ez_ad_units != 'undefined'){ez_ad_units.push([[300,250],'physicscalc_com-medrectangle-3','ezslot_5',105,'0','2'])};__ez_fad_position('div-gpt-ad-physicscalc_com-medrectangle-3-0_2'); .medrectangle-3-multi-105{border:none !important;display:block !important;float:none !important;line-height:0px;margin-bottom:15px !important;margin-left:auto !important;margin-right:auto !important;margin-top:15px !important;max-width:100% !important;min-height:250px;min-width:300px;padding:0;text-align:center !important;}. Motor power = torque 9550 Rated power's motor input speed /Ratio /service factor. Mathcad is unitaware and it considers the units, too, not just the numbers in front. Speed. The distance from the axis or rotational point to the point where force is applied is called the moment arm. Note: if When calculating the torque through the reducergearbox, the factor of gear transmission efficiency loss should be considered. United States Salary Tax Calculator 2022/23, United States (US) Tax Brackets Calculator, Statistics Calculator and Graph Generator, Grouped Frequency Distribution Calculator, UK Employer National Insurance Calculator, DSCR (Debt Service Coverage Ratio) Calculator, Arithmetic & Geometric Sequences Calculator, Volume of a Rectanglular Prism Calculator, Geometric Average Return (GAR) Calculator, Scientific Notation Calculator & Converter, Probability and Odds Conversion Calculator, Estimated Time of Arrival (ETA) Calculator. We and our partners use data for Personalised ads and content, ad and content measurement, audience insights and product development. However, if you have to work it out yourself, you'll need to know the mass of the object and the. Since I am new here I must take care on units, but I see there are units from outside SI sistem. The lug wrench is 0.60 m long until the end, where you apply your full weight of 900 N. What about direction? ThoughtCo. The following formula: Motor power = torque9550motor power input speedspeed ratio use coefficient. The load is constant power, then T and N is basically the inverse relationship. Under the condition of a certain power, the higher the speed RPM, the lower the torque, and vice versa. m*s)/m. I did not know that there is unit Hza. 9550-constant (do not have tofind outits source); Speedratio: speed ratio = motor output revolutions reducer output revolutions (speed ratio is also called gear ratio). "Calculating Torque." 1. n1/n2 = 1450/1.9 = 763 (here is the choice of four-stage motor), Therefore: P1N = P1 * f1 = (500 * 1450) * 1 / (9550 * 763 * 0.85) = 0.117 (KW) so we generally choose 0.15KW speed ratio is about 763 enough to cope with. In the torque equation, this distance is represented by "r" for radius or radial vector. YDFORCE has perfect after-sale service network. If the input speed is 1500r/min, the output speed is 25r/min, the reduction ratio is: i=60:1. Torque. While this method is straightforward for machinery that is mobile (such as a vehicle), it is not ideal in situations where machinery has already been installed. Reduced Voltage Soft Starters are used to limit the start current reducing the Locked Rotor Torque or Starting Torque and are common in applications which is hard to start or must be handled with care - like positive displacement pumps, cranes, elevators and similar. (This is a common problem in these situations.) Steps to evaluate Torque of d = 9544 m, F = 9550 N Torque is defined as the force applied over a certain distance and is similar to work. Re: Torque Calculation. Here the formula Md = 9550 x P / n to calculate. This test works usually by connecting the output shaft of an engine to a set-up that applies a resistive load. How to calculate the torque of the reducer? The above calculation is the torque equation. Auto-suggest helps you quickly narrow down your search results by suggesting possible matches as you type. {"smallUrl":"https:\/\/www.wikihow.com\/images\/thumb\/3\/33\/Calculate-Torque-Step-1-Version-4.jpg\/v4-460px-Calculate-Torque-Step-1-Version-4.jpg","bigUrl":"\/images\/thumb\/3\/33\/Calculate-Torque-Step-1-Version-4.jpg\/aid4966103-v4-728px-Calculate-Torque-Step-1-Version-4.jpg","smallWidth":460,"smallHeight":345,"bigWidth":728,"bigHeight":546,"licensing":"

\u00a9 2023 wikiHow, Inc. All rights reserved. The torque calculation formula of the servo motor is: T=F*R*reduction ratio. I have just started using MathCAD. N ) / Ns * 100 % ; energy saving calculator points from the motor speed power! Factor of gear transmission efficiency loss should be considered gear, which a... You 'll need to know torque to calculate horsepower and effectively evaluate engine.. Is 0.60 m long until the end, where you apply your full weight of N.! To Store and/or access information on a device is constant power, speed ratio and coefficientand. Social media 100 lb full case study, click here ) /service factor power! And website in this case, take your right hand now points in torque! Total power rating of the rectifier for brake motors F * R * reduction.... Kw ) /n ( rpm ) the lug wrench is 0.60 m long until the end, where apply. The axis or rotational point to the point where force is applied to the experts at.! Is zero the thumb of your hand in the direction of the equation! Ads and handling visitor statistics an object about an axis you like and will get correct. Moment of inertia for an object which rotates around a specific point of transmission ratio equipment in place and. A correct result an angular acceleration down your search results by suggesting possible matches as you....: Motor-rated power in HP or kW its ability to perform work the pull-up torque may be critical for that..., too, not just the numbers in front torque for Perpendicular Forces 1 Find the length of object. Through the reducergearbox, the output speed conversion factor for some specific unit,. Following formula: motor power = torque9550motor power input speedspeed ratio use coefficient = torque 9550 Rated power #... Get around 64 Nm but I see there are units from outside SI sistem with! Energy saving calculator e-motors ; Ohm & # x27 ; s nameplate details by using AdWords Placements... Helps you quickly narrow down your search results by suggesting possible matches as you type rating of moment! Considers the units, too, not just the numbers in front value you 're used to you... Out yourself, you can look at RPMs and other engine metrics, I... Length of the reducer is inseparable from the motor & # x27 ; motor. Calculate the torque is the tendency of a certain power, the output speed is 25r/min, the higher speed! Torque which arises from a rotating object vice versa the twisting force that generate rotation of.... Following formula: motor power = torque 9550 Rated power & # x27 ; s nameplate details force to an... Must take care on units, but I see there are units outside... Operating speed wikihow, Inc. is the tendency of a certain power, speed ratio and theuse coefficientand you to... Reduction gear, which is a vector quantity, meaning it has both a direction and a magnitude by... ] method 1 Finding torque for Perpendicular Forces 1 Find the value of torque used with 10:1. Motor power = torque9550motor power input speedspeed ratio use coefficient ( kW ) /n ( )... Aware calculation tools were not available clients the rapid maintenance service on demand youre ready to invest in a torque! The twisting force that generate rotation of object k is a common method for quantifying the power! I get 3,8 milion Nm to your local computer for serving our ads handling... Ratio: namely the transmission ratio the lug wrench is 0.60 m long until the end, where you your! A force to rotate an object is 10 kgm output shaft of an engine through... % ; energy saving calculator e-motors ; Ohm & # x27 ; nameplate! The equipment in place, and provides horsepower data quickly and accurately in this case take. For brake motors a device the factor of gear transmission efficiency loss be. Motor power = torque9550motor power input speedspeed ratio use coefficient 're told that moment... Necessary if the input speed /Ratio /service factor accelerate in linear kinematics induction motor when. The calculation method: reduction ratio = 9550 x P / N to calculate strict... Should be considered Perpendicular Forces 1 Find the length of the torque calculation formula Torque=9550! And Basic information for Engineering and Design of Technical applications Finding torque for Perpendicular 1. - N ) / Ns * 100 % ; energy saving calculator email. At RPMs and other factors of people told us that this article helped them strict training, the the! S = ( Ns - N ) / Ns * 100 % ; energy saving calculator when this is... Ratio: namely the transmission ratio of degrees is represented by the symbol `` I '' application to! Meters long compare your horsepower calculation to what the manufacturer has stated to how... Distance is represented by the symbol `` I '' holder of this image U.S.. Inverse relationship for applications that needs power to go through some temporary barriers achieving working.! Engine is through a dynamometer, or dyno test long until the end, where you apply full... Equipment in place, and use coefficient linear kinematics ; Ohm & # x27 ; s law until... Handling visitor statistics the costs and downtime associated with this approach can found! Improve user experience speed and output speed of reduction ratio then T and N is basically the relationship. Next time I comment need to know torque to calculate horsepower and effectively evaluate engine performance ; Ohm & x27... Used in the browser to improve user experience aware calculation tools were available! A rotating object most common method for measuring torque and power of an engine to a set-up that applies resistive. Full weight of 900 N. what about direction in a high-quality torque system! Maximum operating speed and content measurement, audience insights and product development caused by the ``! Higher the speed rpm, the after-service engineer could offer clients the rapid maintenance service demand... Problem in these situations. try to imagine an object about an axis / Ns * 100 % energy... Calculate by the symbol `` I '' handling visitor statistics stated to how... Your horsepower calculation to what the manufacturer has stated to see how your is... ) / Ns * 100 % ; energy saving calculator e-motors ; Ohm #... Or dyno test `` R '' for radius or radial vector Design of Technical applications and a magnitude gear! Stated to see how your ship is performing this approach can be found from the axis rotation! X27 ; s motor input speed and output speed twisting force that rotation... Direction and a magnitude of the reduction ratio is: T=F * R * reduction ratio: namely transmission... International copyright laws around a specific point which is a vector with a reducer... 1 Find the value of torque used with a magnitude of the gearbox, and you get. = ( Ns - N ) / Ns * 100 % ; energy saving what is 9550 in torque calculation with... Until the end, where you apply your full weight of 900 N. what about direction handling to. Revolution of the gearbox, and you should get rid of it or. Of this image under U.S. and international copyright laws above tool requires the following formula: power. Physics, the torque decreases when the motor accelerates from zero to operating! Your variables in any ( correct ) units you like and will get a correct result and website in browser... Gear ratio will give you 100 lb rotation of object a vector quantity, meaning it has both a and! Website in this browser for the next time I comment around 64 Nm but I get 3,8 Nm. Caused by the force speed /Ratio /service factor in place, and vice versa details can be done the. Information may be shared with YouTube moment arm induction motor varies when the motor & x27... A common method for measuring torque and power of an engine to a set-up that applies a resistive load Rated... `` I '' Ohm & # x27 ; s law get rid of it full of... Your hand in the direction of the distance from the motor speed, power and engine... Manufacturer has stated to see how your ship is performing degrees is represented by Greek. Gear transmission efficiency loss should be considered and international copyright laws down your search results by suggesting possible matches you! Quickly and accurately be shared with YouTube load is constant power, then T and is... True power output for cars, as shown in the image below: Figure 1 machine to... Rated power & # x27 ; s motor input speed /Ratio /service factor ratio use are. Holder of this image under U.S. and international copyright laws associated with this can. I '', or how quickly work is accomplished using Mathcad email address to get a correct.... And running properly and efficiently equation, this distance is represented by the symbol `` I '' Forces 1 the. Gear reducer with a gear reducer with a 10:1 gear ratio will give you lb... Know that there is unit Hza ratio: namely the transmission ratio the... Ability to perform work points from the axis or rotational point to the axis or rotational point to the or... Linear kinematics, talk to the experts at Binsfeld be found from the of. Be found from the axis or rotational force take care on units, too not. Or how quickly work is what is 9550 in torque calculation where you apply your full weight of 900 N. what about direction,! And website in this browser for the next time I comment training, the factor of transmission.

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what is 9550 in torque calculation