The centripetal acceleration is the one that explains that even though the cyclist is moving at a constant speed, his velocity is changing the direction all the time, keeping him around a circle.
This acceleration can be expressed as follows:
Solving for r:
B)
We can apply the definition of linear velocity, remembering that the period is the time needed to complete an entire circle (T).
The arc around a circumference (the distance traveled) , is just 2*π*r, so applying the definition of linear velocity, we can write the following expression:
Solving for T:
C)
The centripetal acceleration of the car from B) can be found as follows:
