Home
Class 12
PHYSICS
The maximum speed of a particle in SHM i...

The maximum speed of a particle in SHM is given by `mA=V_(m)`. The average speed of the particle in terms of maximum speed is given by

A

`(v_(max))/(2)`

B

`((v_(max)))/(pi)`

C

`(piv_(max))/(2)`

D

`(2v_(max))/(pi)`

Text Solution

Verified by Experts

The correct Answer is:
B
Average speed =`(distance)/(time)=(4A)/(T)` (in one cycle)
`v_(max)=Aw=A(2pi)/(T)` `implies (A)/(T)=(v_max)/(2pi)` `therfore v_(avg)=4((v_(max))/(2pi))=(2V_(max))/(pi)`
Promotional Banner

Similar Questions

Explore conceptually related problems

The displacement of a particle executing SHM is given by y=0.5 sint cm . The maximum speed of the particle si

The displacement of a particle executing S.H.M. is given by y = 0.25 sin 200t cm. The maximum speed of the particle is

The displacement of a particle executing S.H.M. is given by, y = 0.20 sin (100 t) cm. The maximum speed of the particle is

If the maximum speed of a particle on a travelling wave is v_(0) , then find the speed of a particle when the displacement is half of the maximum value.

The x-t graph of a particle executing S.H.M. is given as then maximum accleration of the particle is given as :-

If speed of a particle is given by v=A/C sin (At+B) , the dimension of C is

The figure shows the force (F) versus displacement (s) graph for a particle of mass m=2kg initially at rest. (i) The maximum speed of the particle occurs at x = …..m (ii) The maximum speed of the particle is …. ms^(-1) (iii) The particle once again has its speed zero at x =....m

The ratio of instantaneous velocity and the average speed of the particle performing S.H.M. is