Question
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
Koala Ai Support
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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