Question
A flywheel with a moment of inertia of 0.5 kg·m² is accelerated from rest to 120 rad/s in 10 seconds. Determine the torque applied to the flywheel.
A flywheel with a moment of inertia of 0.5 kg·m² is accelerated from rest to 120 rad/s in 10 seconds. Determine the torque applied to the flywheel.
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The torque applied to the flywheel can be determined using the angular acceleration and the moment of inertia.
The angular acceleration (α) can be calculated using the equation:
α = (final angular velocity - initial angular velocity) / time
α = (120 rad/s - 0 rad/s) / 10 s = 12 rad/s²
The torque (τ) can be calculated using the equation:
τ = α * I
τ = 12 rad/s² * 0.5 kg·m² = 6 N·m
Therefore, the torque applied to the flywheel is 6 N·m.
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