Circular Motion
Name:
EMail:
1. A CD has a diameter of 12.0 cm. If the CD is rotating at a constant angular speed of 200 revolutions per minute, then what is the tangential velocity of a point on the circumference?
1.76 m/s
1.54 m/s
1.41 m/s
1.25 m/s
1.06 m/s
2. A 4.0 kg mass is moving in a circular path with a constant angular velocity of 5.0 rad/sec and with a tangential velocity of 5.0 m/sec. What is the centripetal force on the mass?
90 N
100 N
125 N
169 N
200 N
3. An airplane is traveling at 150 m/s in level flight. If the airplane is to make a change in direction, it must travel is a horizontal curved path. To fly in the curved path, the pilot banks the airplane at an angle such that the lift has a horizontal component that provide the horizontal centripetal acceleration to move in a horizontal circular path. If the airplane is banked at an angle of 12 degrees, then what is the radius of curvature of the curved path of the airplane?
10.8 km
8.74 km
8.00 km
7.33 km
6.90 km
4. A 5,000 kg satellite is orbiting the earth in a circular path. The height of the satellite above the surface of the earth is 800 km. What is the time it takes for the satellite to travel around the earth? (Me = 5.98 E+24 kg, Re = 6.37 E+6 m, G = 6.67 E-11 Nm^2/kg^2)
0.74 hours
0.95 hours
1.25 hours
1.68 hours
2.01 hours
5. A CD with a diameter of 12.0 cm starts from rest and with a constant angular acceleration of 1.0 rad/sec^2 acquires an angular velocity of 5.0 rad/sec. The CD continues rotating at 5.0 rad/sec for 15 seconds and then slows to a stop in 12.0 second with a constant angular deceleration. What is the total acceleration of a point 4.0 cm from the center at the time 2.0 seconds from the start?
0.450 m/s^2
0.314 m/s^2
0.215 m/s^2
0.165 m/s^2
0.100 m/s^2
6. A 95 kg person is standing on a scale to measure weight in an elevator near the surface of the earth. If the elevator is accelerated downward at 4.0 m/s^2, then what is the reading on the scale?
620 N
551 N
500 N
485 N
395 N
7. A 2.0 kg mass is moving in a circular path with a radius of 5.0 cm. The mass starts from rest and with constant acceleration obtains an angular velocity of 6.0 rad/sec in 3.0 sec. The mass then comes to a stop with constant deceleration in 4.0 sec. What is the total acceleration of the mass at 2.0 sec?
1.220 m/s^2
0.980 m/s^2
0.806 m/s^2
0.656 m/s^2
0.520 m/s^2