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The position co-ordinates of a particle ...

The position co-ordinates of a particle moving in a 3-D coordinate system is given
by `x = a" cos"wt`
`y = a" sin"wt `
and `z=awt`
The speed of the particle is :

A

`sqrt(3)a omega `

B

`2 a omega `

C

`sqrt(2)aomega `

D

`aomega `

Text Solution

Verified by Experts

The correct Answer is:
C
`vec(r ) =A cos omega that(i) + A sin omega t hat(j) +A omega t hat(k)`
`vec(v) = -A omega sin omega t hat(i) +A omega cos omega hat(i) + A omega cos omega t hat(j) + A omega hat(k)`
`|vec(v)|=omegaA sqrt((-sinomegat)^(2)+(cos omegat)^(2)+(1)^(2))=sqrt(2)omegaA`
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