Q1. A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s2. What is the time interval required for it to reach a 4.2-rad displacement after starting from rest?
- 16
- 18
- 1.8
- 2.0
- 23
Q2. Calculate the linear speed due to the Earth's rotation for a person at the equator of the Earth. The radius of the Earth is 6.40 106 m.
- 74.0 m/s
- 465 m/s
- 73.0 m/s
- 233 m/s
- 357 m/s
Q4. A 3.0-m rod is pivoted about its left end. A force of 6.0 N is applied perpendicular to the rod at a distance of 1.2 m from the pivot causing a ccw torque, and a force of 5.2 N is applied at the end of the rod 3.0 m from the pivot. The 5.2 N is at an angle of 30o to the rod and causes a cw torque. What is the net torque about the pivot?
- 15 N•m
- -6.3 N•m
- -0.6 N•m
- 6.3 N•m
- 0 N•m
Q5. The quantity "moment of inertia" (in terms of the fundamental quantities of mass, length, and time) is equivalent to:
- ML2T2
- ML2
- ML1T2
- ML
- ML2
Q6. A gyroscope has a moment of inertia of 0.14 kgm2 and an initial angular speed of 15 rad/s. Friction in the bearings causes its speed to reduce to zero in 30 s. What is the value of the average frictional torque?
- 3.3 x 10-2 N-m
- 8.1 x 10-2 N-m
- 7.0 x 10-2 N-m
- 6.2 x 10-2 N-m
- 14 x 10-2 N-m