Question

The maximum speed of a particle executing SHM is $1m{s}^{-1}$ and maximum acceleration is $1.57m{s}^{-2}$. Its frequency is

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

${\nu }_0=r\omega =.............\left(1\right)and{a}_0={\omega }^{2}r=1.57.........\left(2\right)\left(2\right)÷\left(1\right)\Rightarrow \frac{a_0}{{\nu }_0}=\omega Or2\pi \nu =1.57\left({\nu }_0\right)=\frac{1.57}{2\times 3.14}=\frac{1}{4}=0.25s^{-1}$