Question

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

Answer 1

Hey there!!

5000 revolutions = 11000 meters

( circumference ) ( revolutions ) = distance

( 2 ) ( pie ) ( radius ) ( 5000 ) = 11000

( 2 ) ( pie ) ( radius ) = ( 5000 / 11000 )

( pie ) ( radius ) = ( 5 / 11 ) ( 1 / 2 )

( pie ) ( radius ) = ( 5 / 22 )

radius = ( 5 / 22 ) / ( pie )

Radius = ( 5 / 22 ) ( 7 / 22 )

Diameter = ( 2 ) ( 5 / 22 ) ( 7 / 22 )

Diameter = ( 5 / 11 ) ( 7 / 22 )

Diameter = ( 35 / 242 ) meters

Hope my answer helps!

#BeBrainly

@Sid071

Answer 2

Total distance = 11 km

Total number of revolutions = 5000

Converting distance from km to m.

We know that, 1 km = 1000 m

11 km = 11 * 1000 m

= 11,000 m

Now, Distance covered in 1 revolution = circumference of wheel

So, Circumference of wheel = Total Distance / Total revolutions

= 11,000 / 5000

= 2.2 mts

Circumference of wheel = 2 * $\pi$ * r (where r is the radius of wheel)

2 * $\pi$ * r = 2.2

r = 2.2 / (2 * $\pi$)

r = 0.35 mts

Diameter of wheel = 2 * radius

= 2 * 0.35

= 0.70 mts

Hence, diameter of wheel = 0.70 mts