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Figur shows the total acceleration and v...

Figur shows the total acceleration and velocity of a particle moving clockwise in a circle of radius `2.5m` at a given instant of time. At this instant, find:
(a) the radius acceleration,
(b) the speed of the acceleration,
(c) its tangential acceleration.

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
(a) `a_(r)=acos30^(@)=(25)/(sqrt(3))/(2)`
`=21.65m//s^(2)`
(b) `a_(r)=(v^(2))/(R)` implies `v=sqrt(a,R)`
or `v=sqrt((21.65)(2.5))`
`=7.35m//s`
(c) `a_(t)=asin30^(@)=(25)((1)/(2))=12.5m//s^(2)`
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