Answer:
[tex]C = 45 * 2\pi[/tex]
[tex]C = 90\pi[/tex]
Step-by-step explanation:
Given
[tex]h = 90[/tex] -- height of the wheel
Required
The expression for the distance traveled in 1 revolution
The height of the wheel implies that:
[tex]d =90[/tex] --- diameter equals height
The distance in 1 revolution is calculated by calculating the circumference of the wheel using:
[tex]C = 2\pi r[/tex] or [tex]C = \pi d[/tex]
Where
[tex]r = \frac{1}{2} * d[/tex]
[tex]r = \frac{1}{2} * 90[/tex]
[tex]r = 45[/tex]
So, we have:
[tex]C = 2\pi r[/tex]
[tex]C = 2\pi * 45[/tex]
[tex]C = 45 * 2\pi[/tex]
[tex]C = \pi d[/tex]
[tex]C = \pi * 90[/tex]
[tex]C = 90\pi[/tex]
