A body moves along a circle of radius `(20)/(pi)` m with constant tangential acceleration . If the velocity of the body is 80 m/s at the end of the second revolution after motion has begun . Then calculate the tangential acceleration .

Explanation

Radius `r = (20)/(pi) m`
Velocity `v = 80 ms^(-1)`
Initial angular velocity `omega(0) = 0`
`omega = (r)/(omega)`
`theta = 2 rev = 4 pi rad`
As `omega ^(2) + omega_(0)^(2) + 2 alpha theta`
`((v)/(r))^(2) = 0^(2) + 2 ((a)/(r)) theta`
`a = (v^(2))/(2 r theta)`
`:. a = ((80)^(2))/(2 xx (20)/(pi) xx 4 pi) = 40 ms^(-2)`