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Ortational Kinematics

1.- A car is going around a racetrack at constant speed. The curves around the track have different radii. In which turn is the magnitude of the car's acceleration the greatest?
a. It is the greatest in the turn with the greatest radius.
b. It is the greatest in the turn with the smallest radius.
c. The acceleration is zero everywhere because of the constant speed.
d. More information is needed to determine the answer.

2.- 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.

3.- A ventilation fan has blades 0.25 m long rotating at 20 rpm. What is the centripetal acceleration of a point on the outer tip of a blade?

4.- A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?
a. 3.2 rad/s
b. 26 rad/s
c. 52 rad/s
d. 81 rad/s

5.- A 0.12-m-radius grinding wheel takes 5.5 s to speed up from 2.0 rad/s to 11.0 rad/s. What is the wheel's average angular acceleration?

6.- 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?

7.- A Ferris wheel, rotating initially at an angular speed of 0.50 rad/s, accelerates over a 7.0-s interval at a rate of 0.040 rad/s2. What is its angular speed after this 7-s interval?

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