Q15 A wheel has diameter 112 cm. The number of complete revolution it will take to 1056 m is:
Answers
Answer:
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Step-by-step explanation:
Wheel diameter is ( D= 112 cm )
After convert into in meters it will be ( D= 1.12 m)
For 1 complete revolution of the wheel , the wheel going to cover the distance is ( πD )
πD = (22/7)* 1.12 m
πD = 3.52 m
To calculate number of revolution completed by wheel = ( total distance covered )/ ( distance covered in one revolution )
Number of revolution = 10556/3.52
Number of revolution = 2998.86
2998 complete revolution covered by wheel , but approximately 2999 we can take it.
Given: Diameter of the wheel = 112 cm
To find: Number of complete revolutions it will take to 1056 m
Solution: According to the given question:
Diameter of the wheel = 112 cm
Radius = Diameter/2 = 112/2 = 56cm
Now, we need to find, in how many complete revolutions the wheel will cover 1056 m.
The distance covered by the wheel in one revolution is equal to circumference of the wheel.
.: Circumference of circle = 2πr
Circumference of the wheel = 2 x 22/7 x 56 [ π = 22/7 and r = 56cm]
= 352 cm
Now,
1056 m = 1056 x 100 = 105600 cm
Revolutions taken to cover 352 cm = 1
Revolutions taken to cover 105600 cm = 1/352 x 105600 = 300
Hence, the wheel will take 300 complete revolutions to cover 1056 m.