Question

A belt was connected between two wheels. The smaller rotor wheel is driven by power, which then spins the larger wheel. The circumstances of the motor wheel is 22cm and the diameter of the larger wheel is 63cm. How many revolution are required of the rotor wheel to spin the larger wheel twice?

Answer 1

To calculate the number of revolutions needed for the smaller wheel to spin the larger wheel twice, we first need to find the circumference of both wheels.

The circumference of the smaller wheel (rotor wheel) is given by the formula:
Circumference = π * diameter
Circumference = π * 22 cm
Circumference ≈ 69.08 cm

The circumference of the larger wheel is given by the formula:
Circumference = π * diameter
Circumference = π * 63 cm
Circumference ≈ 197.92 cm

Since the larger wheel needs to be spun twice, the total distance covered by the belt for the larger wheel will be:
Total distance = 2 * Circumference of larger wheel
Total distance = 2 * 197.92 cm
Total distance = 395.84 cm

Now we need to find out how many revolutions of the smaller wheel are needed to cover this total distance:
Revolutions = Total distance / Circumference of smaller wheel
Revolutions = 395.84 cm / 69.08 cm
Revolutions ≈ 5.73

Therefore, approximately 5.73 revolutions of the smaller wheel are required to spin the larger wheel twice. Since the number of revolutions must be a whole number, the smaller wheel will need to make 6 revolutions to spin the larger wheel twice.