In a non - uniform circular motaion the ratio of tangential to radial acceleration is (where, r= radius of circle, v= speed of the particle, `alpha=` angular acceleration)

Options

A. `(alpha^(2)r^(2))/(v)`
B. `(alpha^(2)r)/(v^(2))`
C. `(alphar^(2))/(v^(2))`
D. `(v^(2))/(r^(2) alpha)`

Answer

C

Explanation

`a _(T) =r alpha and a_(r) =r omega ^(2)`
`(a_(t))/(a_(r) )=(alpha_(r))/(v^(2)//r)=(alpha _(r)2)/(v^(2))`