Rated Motor Torque Calculator

✖Power is the amount of energy transferred or converted per unit time.ⓘ Power [P]			+10% -10%
✖Speed of Agitator is the rate of rotation of the drum or blades of a truck mixer or other device used for agitation of mixed concrete.ⓘ Speed of Agitator [N]			+10% -10%

✖Rated Motor Torque is the maximum continuous torque that the motor produces at rated RPM when working normally and without overheating.ⓘ Rated Motor Torque [T_r]

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Formula

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Rated Motor Torque

Formula

`"T"_{"r"} = (("P"*4500)/(2*pi*"N"))`

Example

`"2.2E^6N*mm"=(("0.25hp"*4500)/(2*pi*"575rev/min"))`

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Rated Motor Torque Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rated Motor Torque = ((Power*4500)/(2*pi*Speed of Agitator))
T_r = ((P*4500)/(2*pi*N))
This formula uses 1 Constants, 3 Variables

Constants Used

pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288

Variables Used

Rated Motor Torque - (Measured in Newton Meter) - Rated Motor Torque is the maximum continuous torque that the motor produces at rated RPM when working normally and without overheating.
Power - (Measured in Watt) - Power is the amount of energy transferred or converted per unit time.
Speed of Agitator - (Measured in Radian per Second) - Speed of Agitator is the rate of rotation of the drum or blades of a truck mixer or other device used for agitation of mixed concrete.

STEP 1: Convert Input(s) to Base Unit

Power: 0.25 Horsepower --> 186.424968 Watt (Check conversion here)
Speed of Agitator: 575 Revolution per Minute --> 60.2138591907381 Radian per Second (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

T_r = ((P*4500)/(2*pi*N)) --> ((186.424968*4500)/(2*pi*60.2138591907381))

Evaluating ... ...

T_r = 2217.38068399384

STEP 3: Convert Result to Output's Unit

2217.38068399384 Newton Meter -->2217380.68399384 Newton Millimeter (Check conversion here)

FINAL ANSWER

2217380.68399384 ≈ 2.2E+6 Newton Millimeter <-- Rated Motor Torque

(Calculation completed in 00.020 seconds)

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< 18 Design of Agitation System Components Calculators

Outside Diameter of Hollow Shaft based on Equivalent Twisting Moment

Go Hollow Shaft Outer Diameter = ((Equivalent Twisting Moment)*(16/pi)*(1)/((Torsional Shear Stress in Shaft)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/3)

Maximum Deflection due to Shaft with Uniform Weight

Go Deflection = (Uniformly Distributed Load per Unit Length*Length^(4))/((8*Modulus of Elasticity)*(pi/64)*Diameter of Shaft for Agitator^(4))

Maximum Torque for Hollow Shaft

Go Maximum Torque for Hollow Shaft = ((pi/16)*(Hollow Shaft Outer Diameter^3)*(Torsional Shear Stress in Shaft)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^2))

Outside Diameter of Hollow Shaft based on Equivalent Bending Moment

Go Diameter of Hollow Shaft for Agitator = ((Equivalent Bending Moment)*(32/pi)*(1)/((Bending Stress)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)))^(1/3)

Maximum Deflection due to Each Load

Go Deflection due to each Load = (Concentrated Load*Length^(3))/((3*Modulus of Elasticity)*(pi/64)*Diameter of Shaft for Agitator^(4))

Equivalent Twisting Moment for Hollow Shaft

Go Equivalent Twisting Moment for Hollow Shaft = (pi/16)*(Bending Stress)*(Hollow Shaft Outer Diameter^3)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)

Equivalent Bending Moment for Hollow Shaft

Go Equivalent Bending Moment for Hollow Shaft = (pi/32)*(Bending Stress)*(Hollow Shaft Outer Diameter^3)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^4)

Diameter of Hollow Shaft Subjected to Maximum Bending Moment

Go Hollow Shaft Outer Diameter = (Maximum Bending Moment/((pi/32)*(Bending Stress)*(1-Ratio of Inner to Outer Diameter of Hollow Shaft^2)))^(1/3)

Equivalent Bending Moment for Solid Shaft

Go Equivalent Bending Moment for Solid Shaft = (1/2)*(Maximum Bending Moment+sqrt(Maximum Bending Moment^2+Maximum Torque for Agitator^2))

Diameter of Solid Shaft Subjected to Maximum Bending Moment

Go Diameter of Solid Shaft for Agitator = ((Maximum Bending Moment for Solid Shaft)/((pi/32)*Bending Stress))^(1/3)

Maximum Torque for Solid Shaft

Go Maximum Torque for Solid Shaft = ((pi/16)*(Diameter of Shaft for Agitator^3)*(Torsional Shear Stress in Shaft))

Equivalent Twisting Moment for Solid Shaft

Go Equivalent Twisting Moment for Solid Shaft = (sqrt((Maximum Bending Moment^2)+(Maximum Torque for Agitator^2)))

Diameter of Solid Shaft based on Equivalent Twisting Moment

Go Diameter of Solid Shaft = (Equivalent Twisting Moment*16/pi*1/Torsional Shear Stress in Shaft)^(1/3)

Diameter of Solid Shaft based on Equivalent Bending Moment

Go Diameter of Solid Shaft for Agitator = (Equivalent Bending Moment*32/pi*1/Bending Stress)^(1/3)

Rated Motor Torque

Go Rated Motor Torque = ((Power*4500)/(2*pi*Speed of Agitator))

Force for Design of Shaft Based on Pure Bending

Go Force = Maximum Torque for Agitator/(0.75*Height of Manometer Liquid)

Maximum Bending Moment subject to Shaft

Go Maximum Bending Moment = Length of Shaft*Force

Critical Speed for Each Deflection

Go Critical Speed = 946/sqrt(Deflection)

Rated Motor Torque Formula

Rated Motor Torque = ((Power*4500)/(2*pi*Speed of Agitator))
T_r = ((P*4500)/(2*pi*N))

What is Torque?

Torque is the measure of the force that can cause an object to rotate about an axis. Force is what causes an object to accelerate in linear kinematics.

How to Calculate Rated Motor Torque?

Rated Motor Torque calculator uses Rated Motor Torque = ((Power*4500)/(2*pi*Speed of Agitator)) to calculate the Rated Motor Torque, Rated Motor Torque is the maximum continuous torque that the motor produces at rated RPM when working normally and without overheating. Rated Motor Torque is denoted by T_r symbol.

How to calculate Rated Motor Torque using this online calculator? To use this online calculator for Rated Motor Torque, enter Power (P) & Speed of Agitator (N) and hit the calculate button. Here is how the Rated Motor Torque calculation can be explained with given input values -> 2.2E+9 = ((186.424968*4500)/(2*pi*60.2138591907381)).

FAQ

What is Rated Motor Torque?

Rated Motor Torque is the maximum continuous torque that the motor produces at rated RPM when working normally and without overheating and is represented as T_r = ((P*4500)/(2*pi*N)) or Rated Motor Torque = ((Power*4500)/(2*pi*Speed of Agitator)). Power is the amount of energy transferred or converted per unit time & Speed of Agitator is the rate of rotation of the drum or blades of a truck mixer or other device used for agitation of mixed concrete.

How to calculate Rated Motor Torque?

Rated Motor Torque is the maximum continuous torque that the motor produces at rated RPM when working normally and without overheating is calculated using Rated Motor Torque = ((Power*4500)/(2*pi*Speed of Agitator)). To calculate Rated Motor Torque, you need Power (P) & Speed of Agitator (N). With our tool, you need to enter the respective value for Power & Speed of Agitator and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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