Solve the problem A wheel with a21inch diameteris tuming at

Solve the problem. A wheel with a21-inch diameteris tuming at the rate of dArevolutions minute. To the nearest inch what is the speed of per point onthe rim inin/min? A 2903 in /min B 2910 in /min. CO 2966 in./min D 2949 in/min Summar Previous Bookmark

Solution

Solution:

A point on the rim travels a distance, c equal to the circumference of the wheel of diameter d, for each revolution of the wheel, Then we have

c = pi*d in/rev or
c = 21*pi in/rev

Now multiply c by the turning rate of 44 rev/min to get the speed s,

s = (21*pi in/rev)*(44 rev/min)
s = 21*44*pi in/min
s = 2902.83 in/min
s = 2903 in/min

So answer is A.