Question

a bicycle wheel makes 10000 revolution in moving 22 km find the diameter of the wheel

Answer 1

Distance travelled in 10,000 revolutions= 22km=22000m

Distance travelled in 1 revolution= 22000/10,000 m=2.2m

1 revolution=circumference

2.2m=2x22/7xr

2.2m=44/7xr

(2.2mx7)/44=r

0.35=r

Diameter= 2r= 0.70m

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Answer 2

heya buddy,
here is your answer,

As we know during riding the bicycle, only the outer part ie. the circumference of the wheel (circle) comes in contact with the road

circumference of circle = 2Πr

according to the question,
so, 2Πr × 10000 = 22km
=> 2 × 22/7 × r × 10000 = 22 × 1000 (as 1km = 1000m and Π = 22/7)

=> r = 22 × 1000 × 7/22 × 1/2 × 1/10000
= 7/(2× 10)
= 7/20m

as we know diameter = 2r = 2 × 7/20 = 7/10 = 0.7m

hence the diameter of the wheel is 0.7m

Hope this helps

if any further help ask me frankly i m always ready to help

thank you

sneha
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