Question

8. The Earth takes slightly less than one day to complete one rotation about the axis passing through its poles. Assume that the actual time is 73220 seconds. Given this information, what is the angular speed of the Earth about its axis?

Write your answer in rad/sec

10. A certain merry go around is accelerated uniformly from rest and attains an angular speed of 1.2 rad/s in the first 12.16 seconds. If the net applied torque is 800 N x m, what is the moment of inertia ( in kg.m^2) of the merry-go-round?

11. A pirate’s treasure chest has a rectangular top with a dimension of 0.5 m and 1 m. It lies 22 m below the surface of the ocean. What is the magnitude of the force that acts on the rectangular top? (Assume that the atmospheric pressure is 1.0x105 Pa and the density of the sea water is 1000 kg/m3).

13. In a car lift, compressed air with a gauge pressure 4.0 x 10^5 Pa is used to raise a piston with a circular cross-sectional area. If the radiud of the piston is 0.96 m, what is the maximum mass that can be raised using the piston ?

Answer 1