Question

A particle is moving in a circular path and its acceleration vector is making an angle of 30° with the velocity vector, then the ratio of centripetal acceleration to its tangential acceleration is –

• A. $\frac{1}{2}$
• B. $\frac{\sqrt{3}}{2}$
• C. $\frac{1}{\sqrt{3}}$
• D. $\sqrt{3}$

Answer 1

Answer: (C)

$\frac{1}{\sqrt{3}}$

Answer 2

tan q = $\frac{a_{c}}{a_{t}}$

\ $\frac{a_{c}}{a_{t}}$ = tan 30⁰ = $\frac{1}{\sqrt{3}}$