State whether the following statements are Tr | vedclass

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(A) $(1)$ True: Angular acceleration $\alpha = \frac{d\omega}{dt}$. If angular velocity $\omega$ is constant, then $\alpha = 0$.$(2)$ True: Moment of

Vedclass · Accepted Answer

True,False,False,True

Vedclass · Answer

(A) $(1)$ True: Angular acceleration $\alpha = \frac{d\omega}{dt}$. If angular velocity $\omega$ is constant, then $\alpha = 0$.$(2)$ True: Moment of inertia is a property of the mass distribution of a body and exists independently of whether the body is in motion or possesses kinetic energy.$(3)$ False: The radius of gyration $k$ depends on the axis of rotation. If the axis of rotation changes, the radius of gyration changes.$(4)$ True: According to the principle of conservation of angular momentum $L = I\omega$. When the skater pulls their arms in, the moment of inertia $I$ decreases, so the angular velocity $\omega$ must increase to keep $L$ constant.Therefore, the correct sequence is True, True, False, True. Note: The provided options in the prompt were slightly ambiguous; based on standard physics, the sequence is (True, True, False, True).

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