Question
Jan Villaroel
Topic: Physics Posted 1 year ago
A wheel with a radius of 0.5 meters and a moment of inertia of 10 kg·m² is initially at rest. If a constant torque of 30 N·m is applied, calculate the angular acceleration of the wheel.

A wheel with a radius of 0.5 meters and a moment of inertia of 10 kg·m² is initially at rest. If a constant torque of 30 N·m is applied, calculate the angular acceleration of the wheel.


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Koala Tutor
Oct 14, 2023
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The torque (τ) is equal to the moment of inertia (I) multiplied by the angular acceleration (α):

τ = I * α

Rearranging the equation, we can solve for α:

α = τ / I

Substituting the given values:

α = 30 N·m / 10 kg·m²

Thus, the angular acceleration of the wheel is 3 rad/s².

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