How many revolutions per second are needed for a centrifuge to produce an acceleration of 1 200g at a radius arm of 15.0 cm?
a. 0.0280 rev/s b. 44.6 rev/s
c. 14.2 rev/s d. 6.68 rev/s
[Ques. 2] 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.
[Ques. 3] Two points on a merry-go-round are located at distances from the center r1 and r2, where r1 < r2 . While the merry-go-round is in the process of speeding up to operational speed, which of the following equations involving magnitudes of angular speed, angular acceleration, and tangential speed for these points is incorrect?
a. 1 = 2
b. 1 = 2
c. vt1 = vt2
d. All of the equations are correct.
[Ques. 4] For a point on a spinning disc in uniform circular motion, which of the following is not constant?
a. Its angular speed.
b. Its angular acceleration.
c. Its centripetal acceleration.
d. The magnitude of its total acceleration.
[Ques. 5] The Earth is 93.0 million miles from the Sun and its period of revolution is 1 year = 3.15 107 s. What is the acceleration of the Earth in its orbit about the Sun?
a. 18.6 mi/s2
b. 9.30 103 mi/s2
c. 13.6 106 mi/s2
d. 3.70 106 mi/s2
[Ques. 6] A cylindrical space colony 8.00 km in diameter and 30.0 km long has been proposed as living quarters for future space explorers. Such a habitat would have cities, land, and lakes on the inside surface and air and clouds in the center. All this would be held in place by the rotation of the cylinder about the long axis. How fast would such a cylinder have to rotate to produce a 1-g gravitational field at the walls of the cylinder?
a. 0.049 rad/s
b. 0.035 rad/s
c. 0.0025 rad/s
d. 0.15 rad/s
[Ques. 7] An airplane in a wide sweeping outside loop can create zero gees inside the aircraft cabin. What must be the radius of curvature of the flight path for an aircraft moving at 150 m/s to create a condition of weightlessness inside the aircraft?
a. 1 150 m
b. 1 800 m
c. 2 300 m
d. 3 600 m
[Ques. 8] The distance from the center of a Ferris wheel to a passenger seat is 12 m. What centripetal acceleration does a passenger experience when the wheel's angular speed is 0.50 rad/s?
a. 17 m/s2
b. 9.0 m/s2
c. 3.0 m/s2
d. 6.0 m/s2
[Ques. 9] A 0.150-m-radius grinding wheel, starting at rest, develops an angular speed of 12.0 rad/s in a time interval of 4.00 s. What is the centripetal acceleration of a point 0.100 m from the center when the wheel is moving at an angular speed of 12.0 rad/s?
a. 0.450 m/s2
b. 7.20 m/s2
c. 14.4 m/s2
d. 28.8 m/s2
[Ques. 10] When a point on the rim of a 0.30-m-radius wheel experiences a centripetal acceleration of 4.0 m/s2, what tangential acceleration does that point experience?
a. 1.2 m/s2
b. 2.0 m/s2
c. 4.0 m/s2
d. Cannot determine with the information given.
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