Answer:
a. 2.64 * 10^8 radians
b. 4.20 * 10^ 7 revolutions
Explanation:
First, let us convert miles to inches.
[tex]60,000\text{miles}=3.8\cdot10^9in[/tex]
Now, how many radians of the tire are there in 60,000 miles?
The answer is N in the following equation.
[tex]2\pi(\frac{28.8}{2})N=3.8\cdot10^p[/tex]
Now, solving for 2Pi*N gives
[tex]2\pi N=\frac{2.8\cdot10^9}{28.8/2}[/tex]
Which simplifies to give
[tex]\boxed{2\pi N=2.64\cdot10^8}[/tex]
Part B.
Note that in the above equation, N is the number of Revolutions. Solving for N gives
[tex]N=\frac{2.64\cdot10^8}{2\pi}[/tex]
[tex]\boxed{N=4.20\cdot10^7}[/tex]
which is our answer!
