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A particle is located at (3m , 4m) and m...

A particle is located at (3m , 4m) and moving with `v=(4hati-3hatj)m//s`. Find its angular velocity about origin at this instant.

Text Solution

Verified by Experts

`omega=("component of velocity perpendicular to "r)/(r)`
`r=3hati+4hatj`
`v=4hati-3hatj`
since, `r.v=0`
`thereforevbotr`
`thereforeomega=(v)/(r)=1rad//s`
`v=|v|=5m//s`
`r=|r|=5m`
From the figure we can see that `omega` is along negative z-axis.
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