## How Many Times Does a Wheel Turn When Travelling a Kilometre

If you take a cotton reel and hold the end of the cotton, then you roll the reel across the ground, the cotton will unwind from the reel. Each time the reel turns once, the length of cotton unrolled is equal to the circumference of the reel.

The same holds for a bicycle or car wheel of radiusAs the wheel turns once, assuming it does not slip, the distance travelled is equal to the circumference,

Suppose then that a bicycle wheel has a radius of 40 cm or 0.4 metres. As it turns once, it travels a distance equal tometres.

If the bicycle travels a kilometre, travelling 2.513 metres with each rotation, then in turningtimes, it must travel a distancemetres. Equate this to 1000 to obtainand solve to giverotations.