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Angular speed and number of revolutions per minute of a car moving at 65 mph and diameter of wheels in 2.5 feet?
There are 728.3 revolutions per minute, and the angular speed is 4576 radians per minute.
This is how you get these answers:
(a). Revolutions per minute.
1. Find the circumference of the circle. C= piX Diameter. In this case, C=7.8539816
2. Turn 65 mph into minutes/ft. Thus, 5280ft = 1 mile. 65X5280= 343200 ft. per hour. 1 hr = 60 minutes. 343200/60 = 5720 ft. / per minute.
3. Finally, divide. 5720/7.8539816 = 728.29 = 728.3.
(b). Angular speed = central angle/time = Theta/t
1. 728.3 rpm. Now, since 1 revolution = 2pi, then, (728.3)(2pi) radians per minute. Your answer should be 4576.043859. Round to 4576 radians per minute, and you are done!!
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