you just got a n ew dirt bike with really advanced four stroke engine that burns fuel efficiently and you wonder what kind of gas mileage you are getting. like most dirt bikes your new machine has no odometer to record the miles traveled.The rear tire's outside diameter is 26inches. You ride fir an hour and refill the gas tank-it takes a perfect half gallon.The number of revolutions on the rear tire is 46,565. How far did you travel and what is your miles-per-gallon?
Pleease Please HELP!!!!
Thanks!!!
Distance = 46,565 * 26 inches
Convert to miles. (1 mile = 5280 feet) Since it only took a half-gallon, double that amount to get miles per gallon.
I hope this helps. Thanks for asking.
To calculate the distance you traveled and your miles-per-gallon, we need to follow these steps:
1. Find the distance traveled based on the tire's circumference:
- The circumference of a tire can be calculated by multiplying pi (π ≈ 3.14) by the diameter of the tire.
- The diameter of the tire can be found by multiplying the outside diameter by 2 (since it's the diameter of the circle formed by the tire).
- In this case, the diameter would be 26 inches * 2 = 52 inches.
- The circumference would be 52 inches * π ≈ 163.36 inches.
2. Convert the distance traveled from inches to miles:
- There are 12 inches in a foot, and 5280 feet in a mile.
- Divide the distance traveled in inches by 12 to get it in feet and then divide by 5280 to convert it to miles.
- In this case, the distance traveled would be approximately 163.36 inches / 12 / 5280 ≈ 0.00245 miles.
3. Calculate the miles-per-gallon (MPG):
- Divide the distance traveled (in miles) by the amount of fuel used (in gallons).
- In this case, the distance traveled is 0.00245 miles and the amount of fuel used is half a gallon.
- Therefore, the MPG would be 0.00245 miles / 0.5 gallons = 0.0049 miles-per-gallon.
So, after riding for an hour and refilling the gas tank with half a gallon, you traveled approximately 0.00245 miles and achieved a fuel efficiency of 0.0049 miles-per-gallon.