Let's begin with the angular acceleration of a compactdisk (CD). To play music the CD must rotate at highspeed while a laser reads data encoded in a spiralpattern on the disk. The disc has radiusR = 6.0 cm = 0.060 m; when data are being read, itspins at 7200 rev/min. What is the CD's angularvelocity w in radians per second? How much time isrequired for it to rotate through 90° ? If it starts from restand reaches full speed in 4.0 s, what is its averageangular acceleration?Figure02Δθ = 900w= 7200 rev/minR = 0.060 m1 of 10₁SOLVE To convert the disc's angular velocity w to radians per second, we multiply by (1 min/60 s) and by (2π rad/1 rev):(1 min) (2π rad1 revFrom the definition of angular acceleration (Cavrest), the average angular acceleration isPart A - Practice Problem:W=From the definition of angular velocity (w = A0/At), we find the time At for the disc to turn through 90° (π/2 rad):π/2 rad754 rad/sAw/At), if the disc reaches a final angular velocity of 754 rad/s in 4.0 s (starting from7200 rev1 minSubmitΑΣΦRequest AnswerAt ==ΔΘday =7200 rev1 minΔωAtREFLECT A typical circular (table or radial-arm) saw used in wood-working shops runs at 3600 rev/min and reaches full speed about 1 safter it is turned on. The radius of a typical blade is 12 cm. Note, however, that the radius is not needed to determine the angular accelerationcalculation. The angular acceleration is about twice that for the CD.I ?= 754 rad/s754 rad/s4.0 sAn old-fashioned vinyl record is designed to turn at 33 rev/min. Find the average angular velocity.Express your answer in radians per second to two significant figures.= 0.0021 s = 2.1 msrad/s= 189 rad/s² Part B - Practice Problem:Find the angular acceleration of the record if it spins through six full rotations before coming to a stop when the record player is turned off.Express your answer in radians per second squared to two significant figures.ΑΣΦrad/s²

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Description: Let's begin with the angular acceleration of a compactdisk (CD). To play music the CD must rotate at highspeed while a laser reads data encoded in a spiralpattern on the disk. The disc has radiusR = 6.0 cm = 0.060 m; when data are being read, itspin

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An old-fashioned vinyl record is designed to turn at 33 rev/min. Find the average angular velocity. Express your answer in radians per second to two significant figures. ΑΣΦ Submit Request Amewer ? rad/s

An old-fashioned vinyl record is designed to turn at 33 rev/min. Find the average angular velocity. Express your answer in radians per second to two significant figures. ΑΣΦ Submit Request Amewer ? rad/s

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter6: Uniform Circular Motion And Gravitation

Section: Chapter Questions

Problem 16PE: Olympic ice skaters are able to spin at about 5 rev/s. (a) What is their angular velocity in radians...

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