A particle moves in a circle of radius 5 ~cm with constant speed and time period 0.2 π s . The acceleration of the particle is

Correct answer: C. 5 ~m / s^2 Given, r=5 ~cm=5 × 10^ -2 ~m and T=0.2 π s We know that acceleration aligned a & =r ω^2 & =(4 π^2)/(T^2)r & = 4 × π^2 × 5 × 10^ -2 (0.2 π)^2 =5 ~ms^ -2 aligned

NEET 2011

Exam: NEET
Year: 2011
Subject: Physics
Chapter: Motion in Two Dimensions

NEET 2011 · Physics · Motion in Two Dimensions

A particle moves in a circle of radius 5 ~cm with constant speed...

A particle moves in a circle of radius

5 \mathrm{~cm}

with constant speed and time period

0.2 \pi \mathrm{s}

. The acceleration of the particle is

Options

A $25 \mathrm{~m} / \mathrm{s}^2$
B $36 \mathrm{~m} / \mathrm{s}^2$
C $5 \mathrm{~m} / \mathrm{s}^2$
D $15 \mathrm{~m} / \mathrm{s}^2$

Correct answer

C. $5 \mathrm{~m} / \mathrm{s}^2$

Step-by-step solution

Given,

r=5 \mathrm{~cm}=5 \times 10^{-2} \mathrm{~m}

and

T=0.2 \pi \mathrm{s}

We know that acceleration

\begin{aligned}a & =r \omega^2 \\ & =\frac{4 \pi^2}{T^2}r \\ & =\frac{4 \times \pi^2 \times 5 \times 10^{-2}}{(0.2 \pi)^2}=5 \mathrm{~ms}^{-2} \end{aligned}

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