Question

A car travels 1 km distance in which each wheel makes 450 complete revolutions. Find the radius of wheel.

Answer 1

Let radius of wheel = ‘r’ m

Circumference of wheel = (2𝜋r)m.

No. of revolutions = 450

Distance for 450 revolutions = 450 × 2𝜋𝑟 = 900𝜋𝑟 𝑚

 distance travelled = 1000 m.

900𝜋r = 1000

r = 10000 9𝜋 × 100

`=10/(9pi)` 𝑚

=`1000/(9pi)` 𝑐𝑚𝑠

𝑟𝑎𝑑𝑖𝑢𝑠 (𝑟) =`1000/(9pi)`𝑐𝑚𝑠