Question

4 A solid
metal sphere is rotating about its diameter
with constant angular speed omega. If its temperature is
increased appreciably, then its rotational speed will
(1) Increase
(2) Decrease
(3) Remain constant
(4) Increase then will become constant​

Answer 1

(2) Decrease

Explanation

• When the sphere grows indeed in spite of the fact that its mass remains the same , the minute of dormancy, of the circle will increment. To keep the momentum the same, the precise speed will diminish.
• Thus, correct option is (2) decrease

Answer 2

2) Decrease

Explanation:

As we know that during the thermal expansion the mass of an object remains conserved, so the angular momentum will also remain conserved despite of increase in radius.

Mathematically the angular momentum is given as:

$L=I.\omega$

where I = mass moment of inertia of the body (here sphere).

so according to the conservation of angular momentum:

$I.\omega=I'.\omega'$

now as I is dependent on radius R

Therefore as I increases, ω will decrease to compensate and keep the momentum conserved.

TPOIC: angular momentum

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