Question

A particle is moving on a circle of radius R. At an instant, tangential velocity and tangential acceleration are v & A respectively. Total acceleration of the particle at that instant is ?

• A. $\frac{v^2}{R}+A$
• B. $\sqrt{\frac{v^4}{R^2}+A^2}$
• C. $\sqrt{\frac{v^4}{R}+A^2}$
• D. A

Answer 1

The correct option is B $\sqrt{\frac{v^4}{R^2}+A^2}$

We know,

$A_c=\frac{v^2}{R}$

$A_t=A$

$a=\sqrt{A_t^2+A_c^2}$

$a=\sqrt{A^2+\frac{v^4}{R^2}}$

Option $\text{B}$ is the correct answer