A truck has $2.5$-ft tires (in diameter).
a. What distance will the truck travel with one rotation of the wheels? Give the exact distance and an approximation to the nearest tenth of a foot.
b. How far will the truck travel with 10,000 rotations of the wheels? Give the exact distance and an approximation to the nearest foot.
c. If the wheels turn at $672 \mathrm{rpm}$, what is the angular speed?
d. If the wheels turn at $672 \mathrm{rpm}$, what is the linear speed in feet per minute? Give the exact distance and an approximation to the nearest whole unit.
e. If the wheels turn at $672 \mathrm{rpm}$, what is the linear speed in miles per hour? Round to the nearest mile per hour. (Hint: $1 \mathrm{mi}=5280 \mathrm{ft}$ and $1 \mathrm{hr}=60 \mathrm{~min}$.)