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Chapter 7-Rotational Motion - Chapter 7 Rotational Motion...

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I 01. Convert the following angle measurements to radians. a.) 30.0 E b.) 45.0 E c.) 90.0 E 02. The Empire State Building has a total height of 443.2 m (including the lightning rod). From one observation point on a street in New York, it subtends an angle of 5.50 E . How far from the building is this observation point? 03. A laser beam, shining from the earth's surface, is directed at the moon whose distance from the earth on this day is 370,000 km. If the beam diverges at an angle of only 1.65 x 10 -5 rad, what diameter circle will it make on the moon? 04. A Compact Disc (CD) has a diameter of 12.0 cm, rotates at a constant 207 rpm, and has a total playing time of 74.0 minutes. a.) What is the angular velocity of the CD? b.) What is the linear speed of a point on the edge of the disc? c.) What is the angular displacement of the CD during its total play time? d.) What is the distance traveled by a point on the edge of the CD? e.) What is the distance traveled by a point 4.00 cm from the center of the CD? f.) What is the angular acceleration of the CD during its total play time? g.) What is the tangential acceleration of a point on the edge of the CD? h.) What is the centripetal acceleration of a point on the edge of the CD? 05. An antique grinding wheel rotating at 85.0 rpm is brought to rest in 22.5 s. What is its angular acceleration? II 06. A centrifuge is rotated from rest to 18,000 rpm in 4 minutes and 45 seconds. What is the average angular acceleration of the centrifuge during this time? 07. A bicycle with tires of diameter 68.0 cm travels 13.5 km. How many revolutions do the wheels make? 08. Calculate the angular velocity of the earth __________. a.) in its orbit around the sun b.) about its axis 09. What is the linear speed of a point __________ due to the earth's rotation about its axis. (See Homework #26 in "Chapter 4-Circular Motion & Gravitation" for the table of "Planetary Data") a.) on the equator b.) at a latitude of 60.0 E N 10. A phonograph record with a diameter of 30.0 cm reaches its rated speed of 33 rpm in 3.5 s. a.) What is the tangential component of the linear acceleration of a point on the edge of the record? b.) What is the centripetal component of the linear acceleration of a point on the edge of the record 2.50 s after it starts rotating? Chapter 7 Rotational Motion 7.1 Angular Quantities Homework #51 ANSWERS: 01. a.) 0.524 rad b.) 0.785 rad c.) 1.57 rad 02. 4617 m 03. 6105 m 04. a.) 21.7 rad/s 04. b.) 1.30 m/s c.) 9.62 x 10 4 rad d.) 5775 m e.) 3850 m f.) 0 rad/s 2 g.) 0 m/s 2 h.) 28.2 m/s 2 05. -0.396 rad/s 2 06. 6.61 rad/s 2 07. 6320 rev 08. a.) 1.99 x 10 -7 rad/s b.) 7.27 x 10 -5 rad/s 09. a.) 464 m/s b.) 232 m/s 10. a.) 0.148 m/s 2 b.) 0.914 m/s 2
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I 01. A phonograph turntable reaches its rated speed of 33 rpm in 2.25 revolutions. What is its angular acceleration? 02. A centrifuge accelerates from rest to 12,000 rpm in 235 s. What was the centrifuge's angular acceleration? II 03. A truck engine slows down from 3700 rpm to 1800 rpm in 4.25 s. How many revolutions were made by the engine during this time?
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