Question

A particle executes S.H.M. of period $6.28s$ and amplitude $3cm$. Its maximum acceleration is

• A. $2.14cm/s^2$
• B. $3cm/s^2$
• C. $9.42cm/s^2$
• D. $1.5cm/s^2$

Answer 1

Answer: (B)

$3cm/s^2$

Given,

$T=6.28s$

$A=3cm$

The maximum acceleration,

$a_{max}=A(\frac{2\pi }{T}{)}^2$

$a_{max}=3\times \left(\frac{4\times 3.14\times 3.14}{6.28\times 6.28}\right)$

$a_{max}=3cm/s^2$

The correct option is B.