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:

500

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