To calculate the distance covered by a wheel after a certain number of revolutions, we can use the formula: Distance = Number of Revolutions × Circumference of the Wheel.
First, we need to calculate the circumference of the wheel. The circumference (C) of a circle is given by the formula:
C = π × D
Where:
- C = Circumference
- π (Pi) ≈ 3.14
- D = Diameter of the circle
Given that the diameter (D) of the wheel is 126 cm:
C = 3.14 × 126 cm
C ≈ 395.04 cm
Now we can calculate the distance covered in 500 revolutions:
Distance = 500 × C
Distance = 500 × 395.04 cm
Distance ≈ 197520 cm
To convert this distance into meters, we can divide by 100 (as there are 100 cm in a meter):
Distance in meters = 197520 cm ÷ 100 ≈ 1975.20 meters
In conclusion, the distance covered by the wheel after 500 revolutions is approximately 1975.20 meters.