if a smaller wheel on car causes the larger wheel to rotate at what degrees does the larger tire rotate if the smaller has a radius of 5.4 cm and the largest tire radius is 6.2 cm?the smaller tire rotated 91 degrees.
Since radius of smaller wheel is 5.4cm it follows that its circumference is
Similarly circumference of larger wheel is
`2cdot6.2 pi=12.4 pi`cm.
If a wheel with circumference length `c` rotates by 1° it has traveled `c/360` because full circle has 360°. So since our smaller wheel has rotated 91° it has traveled `(91cdot10.8pi)/360=2.73pi`cm. The larger wheel must travel the same as the smaller one, hence we have
`2.73pi=(d cdot 12.4pi)/360`
where `d` is how much degrees has the big wheel rotated.
`d approx 79.25806^o=79^o15'29''` <-- Solution