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Safari File Edit View History Bookmarks Window Help V 67% D Wed Jun 14 8:14 PM Hussain Alt www-awd aleks.com O TRIGONOMETRIC FUNCTIONS E Angular and linear speed A cyclist is riding a bicycle whose wheels have a diameter of 22 inches. Suppose she is traveling at 30 miles per hour (A useful fact: 1 mi 5280 ft.) (a) Find the angular speed of the wheels in radians per minute. (b) Find the number of revolutions the wheels make per minute. Do not round any intermediate computations, and round your answer to the nearest whole number. (a) Angular speed U radians per minute x (b) Number of revolutions per minute: U Explanation Check

Explanation / Answer

speed = 30 miles / hour

converting speed to inches per minute

30 miles / hour * 5280 feet / mile * 12 inch/ feet * 1 hour / 60 minute

= 31680 inches / minute

diameter of wheel = 22 inches

radius = 22/2 = 11

angular velocity in radians / minute = 31680 / 11 = 2880 radians / minute

b) circumference = 2* pi * 11 = 22 pi

revelutions per minute = 31680 / 22 pi

= 459 revolutions per minute

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