Two simple harmonic motions of angular frequencies 100 and `1000"rad"*s^(-1)` have the same displacement amplitude. What is the ratio of their maximum acceleration?

Explanation

Acceleration, `f=-omega^(2)x`
If amplitude is a, maximum acceleration = `omega^(2)a`
`therefore` Ratio of maximum accelerations
= `(omega_(1)^(2)a)/(omega_(2)^(2)a)=(omega_(1)/omega_(2))^(2)=(100/1000)^(2)=1/100`