Problem 3.27

3.27. a)

Let's compare the distances that the two swinging balls travelled in one second. The ball rotating at 8 rev/s will go a distance given by

However, the ball rotating at 6 rev/s will travel a distance

1ex

Since the ball rotating at 6 rev/s will travel further in the same amount of time, it has a greater linear speed.

b)

Now to find the acceleration, we use our equation for centripital acceleration.

c)

Likewise the acceleration for the ball moving at 6 rev/s is given by