Hello, I have a math problem I need to solve:
"The front wheels of a truck have a diameter of [x] feet, while the back wheels have a diameter of [x+1] feet. If the truck travels one mile, how many more revolutions (rotations) will a front wheel make more than a back wheel?"
X represents a number, I don't remember what. Could you please tell me how to solve the problem? Am I supposed to...
1. Find the number of feet in a mile, divide it by the circumference of each wheel and find the difference between the two or
2. Find the number of feet in a mile, divide it the diameter of each wheel and find the difference?
Thank you, please just answer the question as either method one or method two.
2007-11-17 16:00:38 · 6 answers · asked by Rocky 3 in Education & Reference ➔ Homework Help
You're a good kid. Not looking for the answer - I respect that.
I would recommend approach 1.
2007-11-17 16:06:59 · answer #1 · answered by GoddessofCoughSyrup 4 · 0⤊ 1⤋
Since you don’t know the number x represents I can’t tell you the answer but show you the method instead.
The Circumference of a circle is C = 2 x Pi x Radius
Where Pi = 3.14 two significant digits… you can use 3.14159 but I will use the former.
Substitution for x lets say 16, 17 where x =16 and x + 1 =17
where 2PI = 6.28
6.28 times 16 = 100.48 and 6.28 times 17 =106.76
Lets call the distance traveled D: So D in feet = 5,280 or 63,360 inches.
We know that one revolution of the back tires = 106.76 inches so, therefore,
So doing some math to figure out how many revolutions by the back tire is:
63,360 /106.76 = 593 revolutions for the back tire.
63,360 / 100.48 = 630 revolutions for the front tire.
So the front tire has to turn 630 - 593 = 37 more times given it is 16 inches. BOOM….
2007-11-17 16:34:49 · answer #2 · answered by TicToc.... 7 · 1⤊ 0⤋
Method #1.
2007-11-17 16:10:28 · answer #3 · answered by David M 4 · 1⤊ 1⤋
in order for a wheel to make a full revolution, it must travel the length of its circumference. do to find the answer, you must use method number 1. hope this helped.
2007-11-17 16:08:32 · answer #4 · answered by someboredguy123 1 · 1⤊ 1⤋
method 1
2007-11-17 16:06:57 · answer #5 · answered by Anonymous · 1⤊ 1⤋
i am in 7th and we hav not learned that yet and we won the intel school of distiction for math in the country
2007-11-17 16:06:29 · answer #6 · answered by Anonymous · 0⤊ 2⤋