(a)in going a mile?
(b)in going a kilometer?
2007-11-21 03:02:34 · 5 answers · asked by Anonymous in Science & Mathematics ➔ Physics
A circle's circumference--the distance around the circle--is the value Pi time the diameter: d(Pi)
23 * 3.14159 = 72.256 inches.
One mile is 5280 feet. Multiply by twelve to get inches:
5280 * 12 = 63,360 inches.
Dividing the circumference of the tire (one revolution) into the inches of the mile (the distance traveled):
63,360 / 72.256 = 876.875 revolutions.
For a kilometer, you can either convert the inches into meters and do the math again, or you can perform the miles-to-kilometer conversion (the ratio is 0.62137119 km to the mile) by multiplying:
0.62137119 * 876.875 = 544.87 revolutions
2007-11-21 03:24:34 · answer #1 · answered by Garon Whited 3 · 0⤊ 0⤋
One rotation of a circle, like a wheel, covers the distance d = C = 2pi R; where R is the radius of the wheel and C is its circumference.
So for each full turn n of the wheel, the wheel covers d. Consider D = nd; where D is the total distance covered after n turns of the wheel covering d distance/turn. Therefore, we have D = nd = n 2pi R; so that n = D/(2 pi R) will give you the number of turns to cover D = 1 mi or D = 1 km.
But, and this is a big BUT, R has to be in the right units. When using D = 1 mi, R must be in miles. When D = 1 km, R must be in km. So convert R = 23 inches into R = ? miles for (a) and into R = ? km for (b).
You now have everything to do the math.
2007-11-21 03:34:28 · answer #2 · answered by oldprof 7 · 0⤊ 0⤋
First, find the circumference of the wheel. C=d x pi(can't type the symbol on a computer,sorry) So, C=23 x 3.14 Do the multiplication, and don't forget the decimal!(my fatal flaw is that darned decimal!) Then, multiply the product(23 x 3.14) by 2. Lastly, label your final answer.(inches) Edit: Since your math packet says 12 FEET, convert your answer to feet. :)
2016-04-05 01:49:40 · answer #3 · answered by ? 4 · 0⤊ 0⤋
The circumference of the wheel is pi*23 inches. Convert this distance into miles and kilometres and just do a simple division.
2007-11-21 03:19:42 · answer #4 · answered by SonniS 4 · 0⤊ 0⤋
a going a mile will take revolutions
b going a km will take revolutions
2007-11-21 03:13:54 · answer #5 · answered by cool 2 · 0⤊ 0⤋