1. A 5 kg ball takes 15.0 seconds for one revolution around the circle. What's the magnitude of the angular velocity of this motion?

2. A truck with 0.382-m-radius tires travels at 32.1 m/s. What is the angular velocity of the rotating tires in radians per second?

3. A particle moves in a circle of radius 1 m with a linear speed given by v=3.56t. What is the tangential acceleration at t=3.42 s?

4. A particle moves in a circle of radius 1 m with a linear speed given by v=3.48t. What is the radial acceleration at t=2.92 s?

5. An object moves with constant speed of 23.1 m/s on a circular track of radius 100 m. What is the magnitude of the object's centripetal acceleration?

6. At the lowest point in a loop-the-loop (radius = 13.1 m), a roller coaster car has a speed of 132 km/hr which is not changing. What is the magnitude of the acceleration of the car?

7. What size force is needed to keep a car of mass 1000kg moving around a circular track with radius 100m when the car is traveling at a constant speed of 29.0 m/s?

Give your answer in units of kilonewtons.