Match the following energy-related quantities in rotational motion with their correct expressions. List - I List - II (P) Rotational kinetic energy of a rigid body (1) τ θ (Q) Work done by a constant

Question

Match the following energy-related quantities in rotational motion with their correct expressions.

List - I	List - II
(P) Rotational kinetic energy of a rigid body	(1) $τ θ$
(Q) Work done by a constant torque $τ$ for an angular displacement $θ$	(2) $\frac{1}{2} I ω^{2}$
(R) Instantaneous power delivered by a torque $τ$ to a body rotating with angular velocity $ω$	(3) $τ \cdot ω$
(S) Rotational kinetic energy in terms of angular momentum $L$ and moment of inertia $I$	(4) $\frac{L ^{2}}{2 I}$

TestHub · Accepted Answer

P. The rotational kinetic energy of a rigid body is $K E_{ro t} = \frac{1}{2} I ω^{2}$ . Q. The work done by a constant torque $τ$ for an angular displacement $θ$ is $W = τ θ$ .

R. The instantaneous power delivered by a torque $τ$ to a body rotating with angular velocity $ω$ is $P = τ \cdot ω$ .

S. Rotational kinetic energy can be expressed in terms of angular momentum $L$ and moment of inertia $I$ as $K E_{ro t} = \frac{L ^{2}}{2 I}$ (since $L = I ω$ ).

Physics - Rotation Question with Solution | TestHub

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