Question

The radius of a wheel is 0.25 m. The number of revolutions it will make to travel a distance of 11 km will be
(a)2800
(b)4000
(c)5500
(d)7000

Answer 1

Hey Mate Here Is Your Answer

(d)7000

Answer 2

Answer:

It will make 7000 revolutions to travel a distance of 11 km.

Among the given options option (d) 7000 m is the correct answer.

Step-by-step explanation:

Among the given options option (d) 7000 m is the correct answer.

Given :  

Radius of a wheel, r = 0.25 m

Total Distance travelled = 11 km

Total Distance travelled = 11 × 1000 = 11000 m

[1 km = 1000 m]

Distance covered by the wheel in one revolution = circumference of the wheel

Distance covered by the wheel in one revolution = 2πr  

= 2 × π × 0.25  

= 0.50π  m

Distance covered by the wheel in one revolution = 0.50π  m

Number of revolutions, n = Total Distance travelled / Distance covered by the wheel in one revolution

n = 11000/0.50π

n = 11000 / 0.50 × 22/7

n = (11000 × 7) / (0.50 × 22)

n = (1100000 × 7) / (50 × 22)

n = (1100000 × 7) / (1100)

n = 1000× 7

n = 7000  

Number of revolutions = 7000

Hence, it will make 7000 revolutions to travel a distance of 11 km.

HOPE THIS ANSWER WILL HELP YOU….