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.
1 Answer | Add Yours
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
We’ve answered 301,068 questions. We can answer yours, too.Ask a question