Multiple Choice Identify the
choice that best completes the statement or answers the question.
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1.
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Find the distance s covered by a point moving with linear velocity
v for a time t if
v = 18 mi/hr and t = 30 min
a. | 9.73 mi | b. | 8.07 mi | c. | 11
mi | d. | 9 mi | e. | 10 mi |
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2.
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Point P sweeps out central angle as it rotates
on a circle of radius r. Find the angular velocity of point P.
a. | 0.221 rad/sec | b. | 0.299 rad/sec | c. | 0.316
rad/sec | d. | 0.333 rad/sec | e. | 0.238 rad/sec |
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3.
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Point P sweeps out central angle as it rotates
on a circle of radius r. Find the angular velocity of point P.
a. | 6 rad/min | b. | 4.47 rad/min | c. | 8
rad/min | d. | 7 rad/min | e. | 5.43 rad/min |
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4.
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Point P sweeps out central angle as it rotates
on a circle of radius r. Find the angular velocity of point P.
a. | 118 rad/hr | b. | 100 rad/hr | c. | 165
rad/hr | d. | 123 rad/hr | e. | 190 rad/hr |
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5.
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Point P moves with angular velocity on a circle of
radius r. Find the distance s traveled by the point in time t.
a. | 802 m | b. | 352 m | c. | 236
m | d. | 274 m | e. | 663 m |
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6.
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Point P moves with angular velocity on a circle of
radius r. Find the distance s traveled by the point in time t.
a. | 2,700 ft | b. | 1,500 ft | c. | 1,620
ft | d. | 6,300 ft | e. | 1,200 ft |
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7.
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A point is moving with uniform circular motion on a circular path of radius
r. Find if r = 4 cm and v = 10
cm/sec.
a. | 4.5 rad/sec | b. | 1.06 rad/sec | c. | 3.5
rad/sec | d. | 2.5 rad/sec | e. | 3.58 rad/sec |
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8.
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A cable railway had a 13-foot-diameter pulley to drive the cable (see the
figure). In order to keep the cable cars moving at a linear velocity of 9 miles per hour, how fast
would the pulley need to turn (in revolutions per minute)? (1 mi = 5,280 ft)
a. | 17.1 rpm | b. | 15.9 rpm | c. | 13.7
rpm | d. | 26.5 rpm | e. | 19.4 rpm |
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9.
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The figure below is a model of the Ferris wheel. The diameter of the wheel is
185 feet, and one complete revolution takes 14 minutes. Find the linear velocity of a person riding
on the wheel. Give your answer in miles per hour and round to the nearest hundredth.
a. | 0.53 mph | b. | 0.49 mph | c. | 0.38
mph | d. | 0.65 mph | e. | 0.47 mph |
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10.
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A woman rides a bicycle for 3 hours and travels 51 kilometers (about 32 miles).
Find the angular velocity of the wheel if the radius is 30 centimeters.
a. | 730 rad/min | b. | 972 rad/min | c. | 793
rad/min | d. | 944 rad/min | e. | 1,043 rad/min |
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