Question 896203
A bicycle has wheels that are 26 inches in diameter. If the bike is traveling at 14 miles per hour, what is the angular speed of each wheel?
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circumference of wheel=&#960;*dia=26&#960;  inches
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angular speed={{{14(mi/hr)5280(ft/mi)(2(pi)radians/rev)(rev/26(pi)(in))(12 in/ft)(hr/3600 sec)}}}
mi, hr, ft, &#960; cancel out
{{{(14*5280*2*12)/(26*3600)=18.95(radians/sec)}}}