Answer to Question #245750 in Other for Mohammed

Question

A particle P moves on a circle with centre O and radius b. At a certain instant the speed of P is $\upsilon$ and its acceleration vector makes an angle $\alpha$ with PO. Find the magnitude of the acceleration vector at this instant.

Answer 1

$$|a|=\dfrac{a_r}{\cos \alpha}=\dfrac{v^2}{b\cos \alpha}$$