Whirl a conker around in a horizontal circle on a piece of string.
What is the smallest angular speed with which it can whirl?
A think about the physics of a motorbike riding upside down
Calculate the forces on the joints of a spining gymnast
In particular, she measures with her stopwatch that the maximum frequency pitch occurs every 4.02 seconds, and that the time interval between a maximum and a minimum pitch is 1.57 seconds.
When the ride finishes, she asks the security steward how large the roller coaster is, and he replies that its radius is 10.22 meters.
Can you calculate how far from the roller coaster's centre the speaker is? You might want to draw a diagram showing the circular roller coaster and the speaker, which you can assume that lies on the same horizontal plane as the roller coaster.