2.
A wheel of radius 14cm rotates 5 times. Find the total distance covered by the
wheel.(Take π = 22 upon 7
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Answer:
To find : How many times will a wheel of radius 14 cm have to rotate to cover a distance of 22 m?
Solution :
A wheel of radius 14 cm
Circumference of the wheel is C= 2\pi rC=2πr
C= 2\times \frac{22}{7}\times 14C=2×
7
22
×14
C= 88\ cmC=88 cm
It cover a distance of 22 m.
Convert into cm,
1 m = 100 cm
22 m=2200 cm
The number of times wheel rotate is given by,
\text{Revolutions} =\frac{\text{Distance}}{\text{Circumference}}Revolutions=
Circumference
Distance
\text{Revolutions} =\frac{2200}{88}Revolutions=
88
2200
\text{Revolutions} =25Revolutions=25
Therefore, 25 times will a wheel rotate to cover a distance.
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