The instantaneous displacement of a simple pendulum oscillator is given by `x= A cos (omegat+ pi / 4 )`Its speed will be maximum at time

Options

A. `(pi)/(4 omega)`
B. `(pi)/(2 omega)`
C. `(pi)/(omega)`
D. `(2 pi)/(omega)`

Answer

A

Explanation

`x = A cos (omega t + (pi)/(4))`
`V = (dx)/(dt) = A omega sin (omega t + (pi)/(4))`
V is max `omega t + (pi)/(4) = (pi)/(2)`
`omega t = (pi)/(2) - (pi)/(4)" "t = (pi)/(4 omega)`