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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

`2aomega`

B

`sqrt(2aomega)`

C

`aomega`

D

`sqrt(3aomega)`

Text Solution

Verified by Experts

The correct Answer is:
B
`x=acos omegat`
` y= asin omegat`
` z=a omega` t
`Vx=- aomega sin t, V_(y)= aomega tznd V_(x)= aomega`
speed=`sqrt(Vunderset(x)overset(2)+Vunderset(y)overset(2)+Vunderset(x)overset(2))= a omegasqrt(2)`
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