The diameter of a wheel is 49 cm. The number of revolutions in which it will have to cover a distance of 770 m, is:
Answer & explanation
Correct answer: option 4
Diameter of wheel = 49 cm
Radius of wheel = \(\frac{49}{2}\) = 24.5 cm
Total distance to cover = 770 m = 77000 cm
We know that,
Circumference of circle = 2πr
Number of revolution taken = Total distance $\div$ Circumference
Circumference of circle = 2 × \(\frac{22}{7}\) × \(\frac{49}{2}\) = 154 cm
Number of revolution taken by the wheel = \(\frac{77000}{154}\) = 500 revolutions