Select the right answer and as well give the reason for that.
Q1. A fan blade, initially at rest, rotates with constant acceleration of 0.025 rad/s2. Find out the time interval needed for it to reach a 4.2 rad displacement after beginning from the rest?
a) 1.8
b) 2.0
c) 16
d) 18
e) 23
Q2. A 0.30 m radius automobile tire accelerates from the rest at a constant 2.0 rad/s2 over the 5.0 s interval. Determine the tangential component of acceleration for a point on the outer edge of tire all through the 5-s interval?
a) 33 m/s2
b) 6.7 m/s2
c) 0.60 m/s2
d) 0.30 m/s2
e) 0.25 m/s2
Q3. Compute the linear speed due to the Earth's rotation for a person at equator of Earth. The radius of Earth is 6.40 106 m.
a) 74.0 m/s
b) 233 m/s
c) 465 m/s
d) 73.0 m/s
e) 357 m/s
Q4. A 0.30 m radius automobile tire accelerates from the rest at constant 2.0 rad/s2. Find out the centripetal acceleration of a point on outer edge of the tire after 5.0 s?
a) 300 m/s2
b) 33 m/s2
c) 30 m/s2
d) 3.0 m/s2
e) 2.5 m/s2
Q5. A 3.0 m rod is pivoted to its left end. A force of 6.0 N is applied at perpendicular to the rod at a distance of 1.2 m from the pivot causing ccw torque, and a force of 5.2 N is applied to 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. Determine the net torque regarding the pivot?
a) 15 N•m
b) 0 N•m
c) -6.3 N•m
d) -0.6 N•m
e) 6.3 N•m