Final answer:
To calculate the number of times the wheel will rotate in traveling through a distance of 1.056 km, divide the distance by the circumference of the wheel. The number of rotations is 600.
Step-by-step explanation:
To calculate the number of times the wheel will rotate in travelling through a distance of 1.056 km, we need to find the circumference of the wheel and divide the total distance traveled by the circumference.
The circumference of a wheel is given by the formula C = πd, where d is the diameter of the wheel.
In this case, the diameter is 56 cm, so the circumference is C = π(56 cm).
Convert the distance traveled to centimeters and divide it by the circumference to find the number of rotations
Circumference = π(56 cm) = 176 cm
Distance traveled = 1.056 km = 105600 cm
Number of rotations = Distance traveled / Circumference = 105600 cm / 176 cm = 600 rotations