Question

A bicycle wheel makes 5000 revolutions in moving 11km.Find the diameter of the wheel.

Answer 1

5000 revolution=11 km

11 km in metres=11000 m

MEANS in

5000 revolution=11000 m

In 1 revolution

$= \frac{11\cancel{000}}{5\cancel{000}} \\ \\ = \frac{11}{5} m$

1 revolution=11/5 m

In 1 revolution It will cover Distance =Length of Wheel means Circumference.

Circumference=πd

$\frac{22}{7} \times d= \frac{11}{5} \\ \\ d= \frac{\cancel{11}}{5} \times \frac{7}{\cancel{22}} \\ \\ d = \frac{7}{5 \times 2} \\ \\ d = \frac{7}{1 0 } m$

$\boxed{\boxed{\mathbf{Diameter=\frac{7}{10}}}}$