Revolutions of a tire and angle in radians thru warranty

[chaotiiic]

Homework Statement

The tires on a new car have a radius of .275 meters and are warranted for 75,000km

a)what is the angle in radians that one of these tires will rotate thru in the warranty period?
b) how many revolutions does this make?

Homework Equations

1rev = 2pi radians
circumference = 2pi*r

The Attempt at a Solution

circumference = (2pi)(.275m) = 1.727m
b) 75m/.001727= 43427.9
a) 43427 *2pi = 272865

 

[Pengwuino]

Your calculation for b) is wrong. You should find the number of revolutions as {{75,000,000m}\over{1.727 {{m}\over{turn}}}}

 

[chaotiiic]

Your calculation for b) is wrong. You should find the number of revolutions as {{75,000,000m}\over{1.727 {{m}\over{turn}}}}

43,427,909.66 revolutions.
to find the angle do i multiply this by 2pi?

 

[Pengwuino]

43,427,909.66 revolutions.
to find the angle do i multiply this by 2pi?

Yes.