Question

A particle executes harmonic motion with an angular velocity and maximum acceleration of 3.5 rad/sec and 7.5 $m/s^2$ respectively. The amplitude of oscillation is

• A. 0.28 m
• B. 0.36 m
• C. 0.53 m
• D. 0.61 m

Answer 1

The correct option is D 0.61 m

$A_{max}=a{w}^2\Rightarrow a=\frac{A_{max}}{w^2}=\frac{7.5}{(3.5{)}^2}=0.61m$