Bavaro's Basketball team is driving to a game that is 64 km awa from school.  Each tire of their van has a radius of 32 cm.  They drive at a constant speed for 2 hours. What distance does one...

Bavaro's Basketball team is driving to a game that is 64 km awa from school.  Each tire of their van has a radius of 32 cm.  They drive at a constant speed for 2 hours.

What distance does one revolution of a tire cover?

Asked on by lbawa

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lemjay | High School Teacher | (Level 3) Senior Educator

Posted on

To solve for the linear distance, apply the relationship between radius and linear distance which is:

`s = theta r`

Since we have to determine the linear distance in one revolution, then `theta=2pi` .

So, plug-in `theta = 2pi` and r=32 cm.

`s=2pi*32`

`s=64pi`

Hence, `s = 64pi` cm.

Then, convert it to km.

`64pi cm xx (1 m)/(100cm)xx(1km)/(1000m)=0.002 km`

Therefore, the distance travelled by the tire in one revolution is 0.002 km.

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