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The displacement xi in centimetres of a ...

The displacement `xi` in centimetres of a particle is `xi = 3 sin 314 t + 4 cos 314 t`. Amplitude and initial phase are

A

` 5 cm , tan^(-1) (4/3)`

B

` 3 cm , tan^(-1) (3)/(4)`

C

` 4 cm , tan ^(-1) (4)/(9)`

D

` 4 cm , 0`

Text Solution

Verified by Experts

The correct Answer is:
A
` a = sqrt(3^(2) + 4^(2)) = sqrt( 9 + 16) = sqrt(25) = 5 cm`
` tan phi = (4)/(3) or phi = tan^(-1)((4)/(3))`
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