Question

The magnitude of displacement of a particle moving in a circle of radius a with constant angular speed `omega` varries with time t is
A. `2asin omegat`
B. `2asin (omegat)/2`
C. `2acos omegat`
D. `2acos (omegat)/2`

Answer 1

Correct Answer - b
In time t particle has rotated an angle `theta=omegat`.

`s=PQ=sqrt(QR^(2)+PR^(2))`
`s=sqrt((asin omegat)^(2)+(a-acos omegat)^(2))`
`s=2asin (omegat)/2`