If torque increases, what happens to rotational speed?

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Multiple Choice

If torque increases, what happens to rotational speed?

Torque is what makes a rotating object speed up or slow down. The key relation is τ = I α, where I is the moment of inertia and α is angular acceleration. If you boost the torque while the inertia stays the same, you increase α. That means the rotational speed grows faster over time, since ω(t) = ω0 + α t. In other words, more torque leads to a larger rate of change of speed and thus a higher rotational speed after a given interval. The same idea can be seen in energy terms: more torque does more work for a given angle, increasing the rotational kinetic energy and hence the speed.

Torque is what makes a rotating object speed up or slow down. The key relation is τ = I α, where I is the moment of inertia and α is angular acceleration. If you boost the torque while the inertia stays the same, you increase α. That means the rotational speed grows faster over time, since ω(t) = ω0 + α t. In other words, more torque leads to a larger rate of change of speed and thus a higher rotational speed after a given interval. The same idea can be seen in energy terms: more torque does more work for a given angle, increasing the rotational kinetic energy and hence the speed.

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