Determine the angular velocity of a body rotating with an acceleration of 2 rev/s^2 as it completes the 5 th revolution after starting.

Correct answer: C. 2 5 rev/s Given: Initial angular velocity, ω_0 = 0 Angular acceleration, α = 2 rev/s^2 Angular displacement, θ = 5 rev Using the equation of rotational kinematics: ω^2 = ω_0^2 + 2αθ Substituting the given values: ω^2 = 0^2 + 2(2)(5) ω^2 = 20 ω = 20 = 2 5 rev/s

Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Rotational Mechanics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Rotational Mechanics

Determine the angular velocity of a body rotating with an...

Determine the angular velocity of a body rotating with an acceleration of

2 \text{ rev/s}^2

as it completes the

5

th revolution after starting.

Options

A $20 \text{ rev/s}$
B $\sqrt{10} \text{ rev/s}$
C $2\sqrt{5} \text{ rev/s}$
D $10 \text{ rev/s}$

Correct answer

C. $2\sqrt{5} \text{ rev/s}$

Step-by-step solution

Given:
Initial angular velocity,

\omega_0 = 0

Angular acceleration,

\alpha = 2 \text{ rev/s}^2

Angular displacement,

\theta = 5 \text{ rev}

Using the equation of rotational kinematics:

\omega^2 = \omega_0^2 + 2\alpha\theta

Substituting the given values:

\omega^2 = 0^2 + 2(2)(5)

\omega^2 = 20

\omega = \sqrt{20} = 2\sqrt{5} \text{ rev/s}

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