- #1

RidiculousName

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I am trying to figure out how to solve this equation. I have a car with tires of diameter 28", and they rotate 10,000 times. How far did I travel?

According to my textbook it's 13.9 miles.

I can figure it out by finding the circumference of the tire (87.96"), multiplying that by 10,000 (879600), dividing the product by the amount of inches in a mile (63360) to get 13.8826.

But, I am supposed to do it with this formula, \(\displaystyle s=r\theta\)

However, I'm not sure how to do that at all.

It is a formula to find the relation between a linear displacement and an angular displacement.

s = linear displacement

\(\displaystyle \theta\) = angular displacement (and must be in radian form)

r = radius

I might be supposed to use \(\displaystyle v=r\omega\)

It is a formula to find the relation between a linear velocity and an angular velocity.

v = vertical speed

\(\displaystyle \omega\) = angular speed (must be in radian form)

r = radius

How can I solve this problem using the formula \(\displaystyle s=r\theta\)?

According to my textbook it's 13.9 miles.

I can figure it out by finding the circumference of the tire (87.96"), multiplying that by 10,000 (879600), dividing the product by the amount of inches in a mile (63360) to get 13.8826.

But, I am supposed to do it with this formula, \(\displaystyle s=r\theta\)

However, I'm not sure how to do that at all.

It is a formula to find the relation between a linear displacement and an angular displacement.

s = linear displacement

\(\displaystyle \theta\) = angular displacement (and must be in radian form)

r = radius

I might be supposed to use \(\displaystyle v=r\omega\)

It is a formula to find the relation between a linear velocity and an angular velocity.

v = vertical speed

\(\displaystyle \omega\) = angular speed (must be in radian form)

r = radius

How can I solve this problem using the formula \(\displaystyle s=r\theta\)?

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