## Quiz 7 :

Rotational Motion and the Law of Gravity

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Starting from rest, a wheel undergoes constant angular acceleration for a period of time T.At what time after the start of rotation does the wheel reach an angular speed equal to its average angular speed for this interval?

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Answer:

B

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A 0.30-m-radius automobile tire accelerates from rest at a constant 2.0 rad/s

^{2}over a 5.0-s interval.What is the tangential component of acceleration for a point on the outer edge of the tire during the 5-s interval? Free

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Answer:

C

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A Ferris wheel starts at rest and builds up to a final angular speed of 0.70 rad/s while rotating through an angular displacement of 4.9 rad.What is its average angular acceleration?

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Answer:

B

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A point on the rim of a 0.30-m-radius rotating wheel has a tangential speed of 4.0 m/s.What is the tangential speed of a point 0.20 m from the center of the same wheel?

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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/s

^{2}.What is its angular speed after this 7-s interval? Multiple Choice

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What is the angular speed about the rotational axis of the Earth for a person standing on the surface?

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A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20 s.It is then turned off and coasts to a stop in 40 s.In the one minute of rotation, through how many revolutions did the fan turn?

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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?

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A grindstone spinning at the rate of 8.3 rev/s has what approximate angular speed?

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Starting from rest, a wheel undergoes constant angular acceleration for a period of time T.At which of the following times does the average angular acceleration equal the instantaneous angular acceleration?

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A Ferris wheel, rotating initially at an angular speed of 0.500 rad/s, accelerates over a 7.00-s interval at a rate of 0.040 0 rad/s

^{2}.What angular displacement does the Ferris wheel undergo in this 7-s interval? Multiple Choice

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A 0.30-m-radius automobile tire rotates how many rad after starting from rest and accelerating at a constant 2.0 rad/s

^{2}over a 5.0-s interval? Multiple Choice

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A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s

^{2}.What is the time interval required for it to reach a 4.2-rad displacement after starting from rest? Multiple Choice

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A spool of thread has an average radius of 1.00 cm.If the spool contains 62.8 m of thread, how many turns of thread are on the spool? "Average radius" allows us to not need to treat the layering of threads on lower layers.

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The end of the cutting cord on a gas-powered weed cutter is 0.15 m in length.If the motor rotates at the rate of 20 rev/s, what is the tangential speed of the end of the cord?

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A fan blade, initially at rest, rotates with a constant acceleration of 0.025 rad/s

^{2}.What is its angular speed at the instant it goes through an angular displacement of 4.2 rad? Multiple Choice

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A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20 s.It is then turned off and coasts to a stop in an additional 40 s.The ratio of the average angular acceleration for the first 20 s to that for the last 40 s is which of the following?

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A 0.15-m-radius grinding wheel starts at rest and develops an angular speed of 12.0 rad/s in 4.0 s.What is the average tangential acceleration of a point on the wheel's edge?

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A ventilation fan has blades 0.25 m in radius rotating at 20 rpm.What is the tangential speed of each blade tip?

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