Angular Speed of DC Motor given Output Power Calculator

✖Output Power is the power supplied by the electrical dc motor to the load connected across it. Output power refers to the mechanical power produced by a motor that is available for doing useful work.ⓘ Output Power [P_out]			+10% -10%
✖Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.ⓘ Torque [τ]			+10% -10%

✖The angular speed refers to the rate at which the rotor (the rotating part of the motor) rotates. It is typically measured in terms of rotations per minute (RPM) or radians per second (rad/s).ⓘ Angular Speed of DC Motor given Output Power [ω_s]

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Formula

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Angular Speed of DC Motor given Output Power

Formula

`"ω"_{"s"} = "P"_{"out"}/"τ"`

Example

`"49.43503rad/s"="35W"/"0.708N*m"`

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Angular Speed of DC Motor given Output Power Solution

STEP 0: Pre-Calculation Summary

Formula Used

Angular Speed = Output Power/Torque
ω_s = P_out/τ
This formula uses 3 Variables

Variables Used

Angular Speed - (Measured in Radian per Second) - The angular speed refers to the rate at which the rotor (the rotating part of the motor) rotates. It is typically measured in terms of rotations per minute (RPM) or radians per second (rad/s).
Output Power - (Measured in Watt) - Output Power is the power supplied by the electrical dc motor to the load connected across it. Output power refers to the mechanical power produced by a motor that is available for doing useful work.
Torque - (Measured in Newton Meter) - Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.

STEP 1: Convert Input(s) to Base Unit

Output Power: 35 Watt --> 35 Watt No Conversion Required
Torque: 0.708 Newton Meter --> 0.708 Newton Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ω_s = P_out/τ --> 35/0.708

Evaluating ... ...

ω_s = 49.4350282485876

STEP 3: Convert Result to Output's Unit

49.4350282485876 Radian per Second --> No Conversion Required

FINAL ANSWER

49.4350282485876 ≈ 49.43503 Radian per Second <-- Angular Speed

(Calculation completed in 00.004 seconds)

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< 2 Speed Calculators

Speed of Series DC Motor

Go Motor Speed = (Supply Voltage-Armature Current*(Armature Resistance+Shunt Field Resistance))/(Constant of Machine Construction*Magnetic Flux)

Angular Speed of DC Motor given Output Power

Go Angular Speed = Output Power/Torque

Angular Speed of DC Motor given Output Power Formula

Angular Speed = Output Power/Torque
ω_s = P_out/τ

What is a series DC motor?

A series wound DC motor like in the case of shunt wound DC motor or compound wound DC motor falls under the category of self-excited DC motors, and it gets its name from the fact that the field winding, in this case, is connected internally in series to the armature winding.

How to Calculate Angular Speed of DC Motor given Output Power?

Angular Speed of DC Motor given Output Power calculator uses Angular Speed = Output Power/Torque to calculate the Angular Speed, The Angular Speed of DC Motor given Output Power formula is defined as the rate of change of angular displacement in the DC motor. Angular Speed is denoted by ω_s symbol.

How to calculate Angular Speed of DC Motor given Output Power using this online calculator? To use this online calculator for Angular Speed of DC Motor given Output Power, enter Output Power (P_out) & Torque (τ) and hit the calculate button. Here is how the Angular Speed of DC Motor given Output Power calculation can be explained with given input values -> 49.43503 = 35/0.708.

FAQ

What is Angular Speed of DC Motor given Output Power?

The Angular Speed of DC Motor given Output Power formula is defined as the rate of change of angular displacement in the DC motor and is represented as ω_s = P_out/τ or Angular Speed = Output Power/Torque. Output Power is the power supplied by the electrical dc motor to the load connected across it. Output power refers to the mechanical power produced by a motor that is available for doing useful work & Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.

How to calculate Angular Speed of DC Motor given Output Power?

The Angular Speed of DC Motor given Output Power formula is defined as the rate of change of angular displacement in the DC motor is calculated using Angular Speed = Output Power/Torque. To calculate Angular Speed of DC Motor given Output Power, you need Output Power (P_out) & Torque (τ). With our tool, you need to enter the respective value for Output Power & Torque 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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