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A particle starts from the point (0m, 8m...

A particle starts from the point `(0m, 8m)` and moves with uniform velocity of `3 hat i m//s`. After `5` seconds, the angular velocity of the particle about the origin will be :
.

A

`(8)/(289) rad//s`

B

`(3)/(8) rad//s`

C

`(24)/(289) rad//s`

D

`(8)/(17) rad//s`

Text Solution

Verified by Experts

The correct Answer is:
C

at `t = 5 sec`, `x = 3 xx 5 = 15 m`
`y = 8`
`omega = (v sin theta)/(r) rArr omega = (3)/(sqrt(289))xx (8)/(sqrt(289))`
`omega = (24)/(289) rad//sec`.
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