You can
put this solution on YOUR website!A car traveling at 45 mph. The tires are 30 in in diameter. What is the angular velocity of the tire?
Use feet, not miles.
45 mph = 66 ft/sec
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One rev of the tire is 30*pi inches = 2.5pi feet
66 ft/sec / 2.5pi ft/rev = 26.4/pi rev/sec
1 rev = 2pi radians
26.4/pi * 2pi = 52.8 radians/sec
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52.743 is the right answer, just with roundoff errors
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i got v=rw
r= 15in(1ft/12in)(1mi/5280ft) so r= 2.37E-4
V= 45mph
w= v/r
45mi/2.37E-4(mi)(hr)
which leaves 189873.418/hr(hr/3600sec)
so w= 52.743/sec
i dont know how to show work to get rad/sec can i just times it by 1 rad? or was the 45/2.37E-4 the rad?
