Question

I need help with part a and B on number three

Answer 1

a. 2.64 * 10^8 radians

b. 4.20 * 10^ 7 revolutions

Explanation:

First, let us convert miles to inches.

`60,000\text{miles}=3.8\cdot10^9in`

Now, how many radians of the tire are there in 60,000 miles?

The answer is N in the following equation.

`2\pi((28.8)/(2))N=3.8\cdot10^p`

Now, solving for 2Pi*N gives

`2\pi N=(2.8\cdot10^9)/(28.8/2)`

Which simplifies to give

`\boxed{2\pi N=2.64\cdot10^8}`

Part B.

Note that in the above equation, N is the number of Revolutions. Solving for N gives

`N=(2.64\cdot10^8)/(2\pi)`

`\boxed{N=4.20\cdot10^7}`

which is our answer!