Question

A particle moves along a circle of radius 20 upon by metre with conventional acceleration of constant magnitude if the speed of the particle is 18 M second at the end of the second generation after motion has begin the tangential acceleration is

Answer 1

Given : Radius =(20/ π)m,
tangential acceleration = dv/ dt=a,

v = 18 m/s,

u =0,  

s=2×2πr=4πr

 as particle has made 2 revolutions along a circle.



According to the Kinematic equation :-


v^2−u^2=2as,

(18)^2−0=2a×4πr, r = 20/π m

18^2=2a×80,

324/80 =2a,

a= 162 / 80 m/sec^2

a = 2.025 m/sec^2