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Angular Speed of DC Motor given Output Power Formula

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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). Check FAQs

ω s = \frac{P out}{τ}

ω_s - Angular Speed?P_out - Output Power?τ - Torque?

Angular Speed of DC Motor given Output Power Example

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Here is how the Angular Speed of DC Motor given Output Power equation looks like with Values.

Here is how the Angular Speed of DC Motor given Output Power equation looks like with Units.

Here is how the Angular Speed of DC Motor given Output Power equation looks like.

49.435 = \frac{35}{0.708}

49.435rad/s = \frac{35W}{0.708N*m}

49.435 = \frac{35}{0.708}

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Angular Speed of DC Motor given Output Power Solution

Follow our step by step solution on how to calculate Angular Speed of DC Motor given Output Power?

FIRST Step Consider the formula

ω s = \frac{P out}{τ}

Next Step Substitute values of Variables

∴

ω s = \frac{35W}{0.708N*m}

Next Step Prepare to Evaluate

∴

ω s = \frac{35}{0.708}

Next Step Evaluate

∴

ω s = 49.4350282485876rad/s

LAST Step Rounding Answer

∴

ω s = 49.435rad/s

Angular Speed of DC Motor given Output Power Formula Elements

Variables

Angular Speed

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).

Symbol: ω_s

Measurement: Angular VelocityUnit: rad/s

Note: Value should be greater than 0.

Formulas to find Angular Speed

Output Power

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.

Symbol: P_out

Measurement: PowerUnit: W

Note: Value can be positive or negative.

Formulas to find Output Power

Torque

Torque is defined as a measure of the force that causes the rotor of an electrical machine to rotate about an axis.

Symbol: τ

Measurement: TorqueUnit: N*m

Note: Value should be greater than 0.

Formulas to find Torque

Other formulas in Speed category

Go Speed of Series DC Motor

N = \frac{V s - I a \cdot (R a + R sh)}{K f \cdot Φ}

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

Angular Speed of DC Motor given Output Power evaluator uses Angular Speed = Output Power/Torque to evaluate 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 evaluate Angular Speed of DC Motor given Output Power using this online evaluator? To use this online evaluator for Angular Speed of DC Motor given Output Power, enter Output Power (P_out) & Torque (τ) and hit the calculate button.

FAQs on Angular Speed of DC Motor given Output Power

What is the formula to find Angular Speed of DC Motor given Output Power?

The formula of Angular Speed of DC Motor given Output Power is expressed as Angular Speed = Output Power/Torque. Here is an example- 49.43503 = 35/0.708.

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

With Output Power (P_out) & Torque (τ) we can find Angular Speed of DC Motor given Output Power using the formula - Angular Speed = Output Power/Torque.

Can the Angular Speed of DC Motor given Output Power be negative?

No, the Angular Speed of DC Motor given Output Power, measured in Angular Velocity cannot be negative.

Which unit is used to measure Angular Speed of DC Motor given Output Power?

Angular Speed of DC Motor given Output Power is usually measured using the Radian per Second[rad/s] for Angular Velocity. Radian per Day[rad/s], Radian per Hour[rad/s], Radian per Minute[rad/s] are the few other units in which Angular Speed of DC Motor given Output Power can be measured.

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