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The equation of a simple harmonic motion...

The equation of a simple harmonic motion is `X=0.34 cos (3000t+0.74)` where X and t are in mm and sec . The frequency of motion is

A

3000

B

`3000//2pi`

C

`0.74//2pi`

D

`3000//pi`

Text Solution

Verified by Experts

The correct Answer is:
B
x=0.34 cos (3000t+0.74)
comparing with general equation x=`A"cos"(omegat+phi)`
We get, A=0.34 mm, `omega=3000 "rad"s ^(-1)`
`therefore` frequency, `v=(omega)/(2pi)=(3000)/(2pi)Hz`
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