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Work and power in rotational motion

Rigid body dynamics · Physics

Simple pendulum

Interactive 3D

Release the bob and watch true small-angle SHM. The period depends only on the string length.

Controls

Drag the sliders or type a value — the simulation updates live.

m
0.3m2m
°
5°45°

Study notes

Problem: A motor applies a constant torque of 50 Newton-meters to a wheel. The wheel rotates at a constant angular velocity of 10 radians per second. Calculate the power delivered by the motor. Step 1: Identify the given values. Torque (τ) = 50 Nm Angular Velocity (ω) = 10 rad/s Step 2: Recall the formula for rotational power. Power (P) = Torque (τ) × Angular Velocity (ω) Step 3: Substitute the values into the formula. P = 50 Nm × 10 rad/s Step 4: Calculate the result. P = 500 Watts Answer: The power delivered by the motor is 500 Watts.

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