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Uniform circular motion sample problems: 1. Determine the angular speed of minute hand of a clock. 2. A wheel spins at 30 rpm. What is the angular speed in rad/s? If radius of the wheel is 40 cm, what is the acceleration of a particle located on the rim? 3. A race car makes two and a half laps around a circular track in 3 min. What is the car's average angular speed? 4. If a ball is rotating with constant angular speed of 3.5 rad/s, how long does it take for the ball to go through one revolution? 5. A computer hard disc drive is rotating at 10,000 rpm. What is its period? (ie time for one revolution) 6. A ball of mass 0.1 kg is connected to one end of a string of length 0.6m. The ball is rotating in a vertical circle of radius 0.6 m. At the bottom the circle the speed of the ball is 3 m/s. Determine the tension of the string at this point. 7. Determine the acceleration due to gravity near the surface of the earth. Mass of the earth = 5.98x1024 kg, Radius of the earth=6.37x10 m 8. Determine the speed of a satellite orbiting the earth with radius equal to twice the radius of the earth. Mass of the earth = 5.98x1024 kg, Radius of the earth=6.37x10 m 9. Determine the acceleration due to gravity near the surface of the earth moon. Mass of the moon = 7.36x1022 kg , Radius of the moon=1.74x10 m 10. Determine the acceleration due to gravity of the earth at a height equal to the twice the radius of the earth. 1 1. At what altitude above earth's surface would the gravitational acceleration be 4.9 m/s Mass of the earth = 5.98x1024 kg, Radius of the earth=6.37x10 m 12. Determine tangential speed and period of Earth satellite in a circular orbit at an altitude of 160 km Above Earth's surface? Mass of the earth = 5.98x1024 kg, Radius of the earth=6.37x10 m