Question

The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is ______.

विकल्प

• 2800

• 4000

• 5500

• 7000

Answer 1

The number of revolutions made by a circular wheel of radius 0.25 m in rolling a distance of 11 km is 7000.

Explanation:

Here,

Number of revolutions = `"Total distance"/("Distance covered in"  1  "revolution")`

Given,

Radius = 0.25 m

Total Distance = 11 km = 11,000 m

Therefore,

Distance covered in one revolution = Circumference of wheel

= 2πr

= `2 xx 22/7 xx 0.25`

= `2 xx 22/7 xx 1/4`

= `11/7` m

Now,

Number of revolutions = `"Total distance"/("Distance covered in"  1  "revolution")`

= `11000/(11/7)`

= `11000 xx 7/11`

= 1000 × 7

= 7000