Answer to Question #256459 in Mechanics | Relativity for kkk

Question

 How fast is an object moving if it has a centripetal acceleration of 460.8 m/s

2

460.8 m/s2

 and turns around in a circle with a radius of 5 m

5 m

? 

Answer 1

The centripetal acceleration for uniform circular motion is given as follows:

$$a = \dfrac{v^2}{R}$$

where $v$ is the speed of the object (constant), $R = 5m$ is the radius of the circle. Expressing $v$ and substituting $a = 460.8m/s^2$, obtain:

$$v = \sqrt{aR} = \sqrt{460.8m/s^2\cdot 5m} = 48m/s$$

Answer. 48 m/s.