Tyre of bus is having diameter of 0.7 m. How many revolutions will the tyre take to cover the distance of 22 km between the two villages ?
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Answer:
It will take 10,000 revolutions for a tyre to cover the distance of 22 km between the two villages.
Step-by-step explanation:
Given:
- Tyre of bus is having diameter of 0.7 m.
To find:
- How many revolutions will the tyre take to cover the distance of 22 km between the two villages ?
Solution:
Diameter of tyre of bus = 0.7 m
♦ Radius of tyre of bus = Diameter/2
- Radius of tyre of bus = 0.7/2
- Radius of tyre of bus = 7/20
- Radius of tyre of bus = 0.35 m
♦ Circumference of a circle = 2πr
Where,
Value of π = 22/7
r is the radius of a circle ( Here, radius of tyre of bus which is in shape of circle. )
Putting the values in the formula, we have:
- Circumference of a circle = 2 × 22/7 × 0.35
- Circumference of a circle = 2 × 22/7 × 35/100
- Circumference of a circle = 2 × 22 × 5/100
- Circumference of a circle = 220/100
- Circumference of a circle = 2.20
- Circumference of a circle = 2.2 m = (2.2/1000) km
Finally,
- Distance covered in one revolution = (2.2/1000) km
- Revolutions taken to cover 22 km distance = 22/2.2/1000
- Revolutions taken to cover 22 km distance = 22/2.2/1000
- Revolutions taken to cover 22 km distance = 22 × 1000/2.2
- Revolutions taken to cover 22 km distance = 22 × 10000/22
- Revolutions taken to cover 22 km distance = 10000
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