Question

Help!

Answer 1

How many feet does the tire travel in one revolution?

Answer 2

good

Answer 3

so that's the circumference of the tire

Answer 4

it might help to think of a roll of tape unwinding

so it goes from being in a circle to being laid straight out

Answer 5

a tire traveling exactly one revolution is the same as the tire rolling a distance equal to the circumference of the tire

Answer 6

now, what fraction is 1.5 ft in relation to the circumference?

Answer 7

or what percentage

Answer 8

hmm this sounds like a trick question now that I've read it again

Answer 9

if the tire rolled 1.5 ft forward, then the nail will also move 1.5 ft along the tire surface

Answer 10

so that means that the arc length should be 1.5 ft

Answer 11

something like this

Answer 12

basically let's say the tire had a circumference of 10 ft

Answer 13

if the car rolled forward exactly 5 ft, then the tire would do 5/10 = 1/2 a revolution

Answer 14

but we don't even have to worry about that fact: if a nail is stuck at the bottom and the tire moves 5 ft forward, then it has to roll on 5 ft of tire. That moves the nail along 5 ft around the tire

Answer 15

There's not much to explain here really but what I just went over.

Answer 16

yeah I thought that other info would play in somehow, but it doesn't matter

Answer 17

if you roll forward 1.5 ft, then the tire will roll up 1.5 ft

that will make the nail move up 1.5 ft

this causes the arc length to be 1.5 ft

Answer 18

just that logic really

I'm not sure how else to check it

Answer 19

I could be off and missing something though, but I'm sure it's 1.5 ft

Answer 20

@bahrom7893 Can you please go over this problem? We're unsure

Answer 21

@Zale101