The power (P) is supplied to a rotating body having moment of inertia ' I ' and angular acceleration ' α '. Its instantaneous angular velocity ' ω ' is (a) P(Iα)⁻¹ (b) P⁻¹(Iα)⁻¹ (c) Pα⁻¹I (d) PIα

Answer: (a). Rotational power P = τω with τ = Iα. P = Iαω ⇒ ω = (P)/(Iα) = P(Iα)⁻¹ So the answer is (a).

The power (P) is supplied to a rotating body having moment of inertia… | MHT CET 2024 (16 May, Shift 1)

Q14MHT CET 2024 · 16 MAY · SHIFT 1Medium

Power

The power $(P)$ is supplied to a rotating body having moment of inertia ' I ' and angular acceleration ' $\alpha$ '. Its instantaneous angular velocity ' $\omega$ ' is

Show answer and solution

Answer: (a)

Rotational power $P = \tau\omega$ with $\tau = I\alpha$ .
$P = I\alpha\omega \Rightarrow \omega = \dfrac{P}{I\alpha} = P(I\alpha)^{-1}$
So the answer is (a).

Report a mistake

More questions on Power

A body of mass 2 kg begins to move under the action of a time dependent force given by F…JEE Main 2024 (31 Jan, Shift 2)
A particle moves with a velocity (5i - 3j + 6k) m s⁻¹ horizontally under the action of…NEET 2023
The ratio of powers of two motors is (3√(x))/(√(x) + 1), that are capable of raising 300…JEE Main 2023 (13 Apr, Shift 1)
A block of mass 5 kg starting from rest is pulled up on a smooth inclined plane making an…JEE Main 2023 (11 Apr, Shift 2)
A body of mass 1kg begins to move under the action of a time dependent force F = (ti +…JEE Main 2023 (24 Jan, Shift 2)
If the maximum load carried by an elevator is 1400 kg ( 600 kg - Passengers + 800 kg -…JEE Main 2023 (10 Apr, Shift 2)
A body of mass 2 kg is initially at rest. It starts moving unidirectionally under the…JEE Main 2023 (30 Jan, Shift 2)
The energy that will be ideally radiated by a 100 kW transmitter in 1 hour isNEET 2022 (Phase 1)

Power question from MHT CET 2024 (16 May, Shift 1)

More questions on Power