An astronaut is engaged in a training activity, being pulled along a curved path with radius 97 m at a constant speed of 25 m/s. What is the acceleration and net force on the astronaut?

A fairground ride spins its occupants inside a flying-saucer-shaped vehicle. If the horizontal circular path the riders follow has a radius of 7.5 m, at how many revolutions per minute will the riders be subjected to a centripetal acceleration 1.7 times that due to gravity? f =

In the movie Kill Bill the character Gogo Yubari fights with a meteor hammer, which is a bladed metal sphere on the end of a chain.  Let’s assume Gogo is spinning the meteor hammer in a vertical spin, as shown below, with a radius of motion as 1 m. She spins the weapon at 18 m/s.  Gogo then lets out more chain, increasing the radius to 1.62 m.  What is the new velocity of her weapon?

A car travels at a constant speed of 16.5 m/s around a circular track that has a radius of 236 m. What acceleration does it experience?