Question

Find the acceleration and the centripetal force of a car that rounds the curved of radius of 50 meters having a speed of 8 km/h.

Answer 1

The acceleration of the circular motion is given by:

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

where $v = 8km/h = \dfrac{40}{13}m/s$ is the speed and $R = 50m$ is the radius. Thus, obtain:

$$a = \dfrac{v^2}{R}=\dfrac{40^2}{16^2\cdot 50} = 0.125 m/s^2$$

Answer. 0.125 m/s^2