Answer:
A) r = 20.0 m
B) T = 41.6 s
C) = 6.1 m/s²
Explanation:
A)
- 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: