Question

if a bike goes around a circle that has a radius of 501 meters with an acceleration of 1.00 m/s/s what was the bike’s speed

Answer 1

The acceleraion of the circular motion is given as follows:

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

where $v$ is the linear speed, and $R = 501m$. Is the radius of the circle. Since $a = 1m/s^2$, expressing $v$ obtain:

$$v = \sqrt{aR}\\ v = \sqrt{1\cdot 501} \approx 22.4m/s$$

Answer. 22.4 m/s.