Correct Answer - Option 2 : 1260
Given:
Diameter of wheel = 40 cm = 0.4 m
Radius of wheel = 0.2 m
Total distance traveled = 1.584 km = 1584 m
Concept:
The distance traveled in one revolution will be equal to the circumference of the wheel.
Formula used:
Circumference of circle = 2 × (22/7) × radius
Calculation:
Distance traveled by the wheel in 1 revolution = 2 × (22/7) × 0.2 m
∵ Number of revolutions × Distance traveled in 1 revolution = total distance travelled
⇒ Number of revolutions × 2 × (22/7) × 0.2 m = 1584 m
⇒ Number of revolutions = (1584 × 7)/2 × 22 × 0.2
⇒ Number of revolutions = 1260
∴ 1260