First we will find the circumference of the tire.
We know that the circumference of a circle is given by :
C = 2*pi*r such that r is the radius.
==> C = 2pi *21 = 42pi inches.
The tire makes 7 rotations every second.
==> Then the distance traveled by the tire for the second is :
S = 7*42pi = 294pi inch per second.
Now we need to find the speed in terms of miles per hour.
==> We know that 1 hour = 60*60= 3600 seconds.
==> Also, we know that 1 mile = 5280 feet = 63,360 inch.
Now we will convert
294pi in/s = 294*3.14 * 3600/63360 = 52.48 mph
Then, the speed of the truck is 52.48 mph
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