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Chapter 1: Q95PP (page 337)

95.While the turntable is being accelerated, the person suddenly extends her legs. What happens to the turntable? (a) It suddenly speeds up; (b) it rotates with constant speed; (c) its acceleration decreases; (d) it suddenly stops rotating

Short Answer

Expert verified

The acceleration of the turntable decreases.

Step by step solution

01

Moment of inertia

Moment of inertia is a quantity of a body’s tendency to resist angular acceleration, which is equal to the sum of the products of the mass of each particle with the square of its distance from the axis of rotation.

02

Angular acceleration

If a person extends her legs or arms, the moment of inertia about the axis increase.

Recall that the angular acceleration is inversely proportional to the moment of increase.

So, if the moment of inertia increases then angular acceleration decreases.

Hence, option c is correct.

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