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Q.

A bicycle wheel makes 200 revolutions in 1 km. The diameter of the wheel is


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a

1.59m

b

2.62m

c

1.45m

d

3.54m 

answer is A.

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Detailed Solution

It is given a wheel, revolutions =200 and distance=1 km.
We know, circumference of a circle = 2πR   or πd  .
Let the Diameter of wheel = d.
The distance covered in 1 revolution = circumference.
Distance covered in 200 revolutions = 200 ×   πd  
Distance of 200 revolutions = 1 km.
We know that 1km = 1000 m.
So,
200πd=1000 ⇒d= 5 π  
⇒d= 5 22 7 ⇒d= 35 22 ⇒d=1.59 m  
Diameter of the wheel is 1.59 m.
Therefore, the correct option is 1.
 
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A bicycle wheel makes 200 revolutions in 1 km. The diameter of the wheel is