Question

The maximum speed of a particle in S.H.M. is 'V'. The average speed is ______ 

Options

• `(2V)/pi^2`

• `(2pi)/V`

• 2V²/π

• 2V/π

Answer 1

The maximum speed of a particle in S.H.M. is 'V'. The average speed is 2V/π.

Explanation:

Maximum speed V = Aω where A is the amplitude and ω angular frequency 

Average speed V_A = `"Total distance"/"Total time" = (4A)/T`

where T = `(2pi)/omega` = Period of S.H.M.

∴ V_A = `(4Aomega)/(2pi) = (2Aomega)/pi = (2V)/pi`