1.

A particle starts from rest in circular path of radius R = 2 m such that its angular velocity is omega = (pi t)/(3) rad/s. Find the magnitude of average velocity of particle when it has maoved by angle 60^(@) from its initial position.

Answer»

`sqrt3 m//s`
`2 sqrt3 m//s`
`2 sqrt2 m//s`
`sqrt2 m//s`

SOLUTION :As we KNOW
`omegta = (PI t)/(3) `
`alpha = ( d omega)/(dt) = (pi)/(3) rad //s^(2) `
`theta = (pi)/(3) =1/2 alpha t^(2)`
`pi/3 =1/2 (pi//3) t^(2) `
`t = sqrt2s`
Now displacement of paraticle is given as
`d= R =2M`
`V = (2)/(sqrt2) = 2sqrtm//s`


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