Inertia and torque of the rotating bodies

Reference no: EM1313388

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?

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

Reference no: EM1313388

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