Question

A car travels 1 kilometre distance in which each wheel makes 450 complete revolution find radius of its wheels

Answer 1

Answer:-

r = 35.38 cm

Given :-

Distance travelled = 1 km

number of revolution = 450

To find :-

The radius of the wheels.

Solution:-

1 km = 100000 cm

$\text{Number of revolution = \dfrac{ \text{distance travelled}} {\text{Circumference of wheel}} }$

Put the given values,

→$\mathsf{450 = \dfrac{100,000 }{2 \pi r}}$

→$\mathsf{450 \times 2 \pi r = 100,000}$

→$\mathsf{450 \times 2 \times \dfrac{314}{100}\times r = 100,000}$

→$\mathsf{900 \times \dfrac{314}{100}\times r = 100,000}$

→$\mathsf{9 \times 314 \times r = 100,000}$

→$\mathsf{ 2826r = 100,000}$

→$\mathsf{r = \dfrac{100,000}{2826}}$

→$\mathsf{ r = 35.38 cm}$

hence,

The radius of the car wheel be 35.38 cm.