The number of revolutions made by a bicycle wheel 56 cm in diameter. in covering a distance of 1.1 km is

GIVEN:

A bicycle wheel of 56 cm diameter in covering a distance of 1.1 km 

FORMULA USED:

Circumference of wheel in bicycle  =  \(2\pi {r}\)  

Diameter = 2 × radius 

Where r = radius of circumference 

CALCULATION:

Here, diameter = 56 cm 

⇒ diameter = 2 × radius = 56 cm  

⇒ radius = 28 cm = 28/100 m = 0.28m

Circumference of wheel in bicycle = 1 revolution

⇒  \(2\pi{r}\)  = 1 revolution

⇒ 2 × 22/7 × 0.28  = 1 revolution 

As, 1.76 distance is covered in 1 revolution 

So,

Number of revolutions in 1.1km 

⇒ 1.1km = 1.1 × 1000m = 1100 m 

[As, 1 km = 1000 m ]

⇒ Number of revolutions = 1100 /1.76 = 625 

∴  Number of revolutions is 625.