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The drive motor of a particular CD player is controlled torotate at a speed of 2

ID: 3091160 • Letter: T

Question

The drive motor of a particular CD player is controlled torotate at a speed of 200 rpm when reading a track 5.7 centimetersfrom the center of the CD. The speed of the drive motor mustvary so that the reading of the data occurs at a constantrate. A) Find the angular speed (in radians per minute) of thedrive motor when it is reading a track 5.7 centimeters from theCD. B) Find the linear speed (in cm/sec) of a point on theCD that is 5.7 centimeters from the center of the CD. C) Find the angular speed (in rpm) of the drive motorwhen it is reading a track 3 centimeters from teh center of theCD. D) Find a function S that gives the drive motor speed inrpm for any radius r in centimeters, where 2.3<=r<=5.9. What type of variation exists between the drive motor speed and theradius of the track being read? Check your answer by graphingS. Please show all steps The drive motor of a particular CD player is controlled torotate at a speed of 200 rpm when reading a track 5.7 centimetersfrom the center of the CD. The speed of the drive motor mustvary so that the reading of the data occurs at a constantrate. A) Find the angular speed (in radians per minute) of thedrive motor when it is reading a track 5.7 centimeters from theCD. B) Find the linear speed (in cm/sec) of a point on theCD that is 5.7 centimeters from the center of the CD. C) Find the angular speed (in rpm) of the drive motorwhen it is reading a track 3 centimeters from teh center of theCD. D) Find a function S that gives the drive motor speed inrpm for any radius r in centimeters, where 2.3<=r<=5.9. What type of variation exists between the drive motor speed and theradius of the track being read? Check your answer by graphingS. Please show all steps

Explanation / Answer

let linear speed = v let angular speed = w let radius from the center of rotation = r v = rw linear speed varies directly as the angular speed, with radius asthe constant of proportionality :-|

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