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JIPMER 2019

Exam: JIPMER
Year: 2019
Subject: Physics
Chapter: Motion in Two Dimensions

JIPMER 2019 · Physics · Motion in Two Dimensions

If object starts from rest and covers angle of 60 rad in 10 sec in...

If object starts from rest and covers angle of 60 rad in 10 sec in circular motion magnitude of angular acceleration will be

Options

A $1.2 \mathrm{rad} / \mathrm{sec}^2$
B $1.5 \mathrm{rad} / \mathrm{sec}^2$
C $2 \mathrm{rad} / \mathrm{sec}^2$
D $2.5 \mathrm{rad} / \mathrm{sec}^2$

Correct answer

A. $1.2 \mathrm{rad} / \mathrm{sec}^2$

Step-by-step solution

Given, initial angular velocity of object

w_0=0

Angular displacement

\theta=60 \mathrm{rad}

and

\Delta \mathrm{t}=10 \mathrm{sec}

From equation of rotational motion,

\begin{aligned} \theta & =\mathrm{w}_0 \mathrm{t}+\frac{1}{2} \alpha \mathrm{t}^2 \\ 60 & =0 \times \mathrm{t}+\frac{1}{2} \times \alpha \times 10^2 \\ \Rightarrow \quad \alpha & =\frac{60}{50} \Rightarrow \alpha=1.2 \mathrm{rad} / \mathrm{s}^2 \end{aligned}

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