A caterpillar dump trunk is used at the oil sands near Fort McMurray Alberta. The diameter of one tire is 4m. Part A) find the circumference Part B) how many complete rotations does a wheel make on a 2 km long road?
To find the circumference of a wheel, you can use the formula:
Circumference = π * Diameter
Part A) The diameter of the tire is given as 4m, so the circumference can be calculated as follows:
Circumference = π * 4m
Circumference ≈ 3.1416 * 4m
Circumference ≈ 12.5664m
Therefore, the circumference of the tire is approximately 12.5664 meters.
Part B) To calculate the number of complete rotations a wheel makes on a 2 km long road, we need to convert the distance given in kilometers to meters (since we have the circumference of the wheel in meters).
1 kilometer = 1000 meters
So, 2 kilometers would be:
2 km * 1000 m/km
= 2000 meters
To find the number of complete rotations, we can use the relationship between the distance traveled (in meters) and the circumference of the wheel.
Number of rotations = Distance traveled / Circumference
Number of rotations = 2000m / 12.5664m
Number of rotations ≈ 159.17
Therefore, the wheel makes approximately 159.17 complete rotations on a 2 km long road.