Find the number of revolution made by a circular wheel of area 1.54 m square in rolling a distance of 176 m.
Answers
Answered by
79
- Area of the wheel = 1.54 m²
- Distance covered by the wheel = 176 m
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- Number of revolution made by the circular wheel.
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- Let r be the radius of the circular wheel.
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※ It is given that its area is 1.54 m².
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※ Suppose the wheel makes n revolution in rolling a distance of 176 m.
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Hence, the circular wheel makes 40 revolutions.
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Answered by
13
Given :-
- Area of circular wheel = 1.54 m²
- distance = 176 m
To find :-
- what is the number of revolution wheel ?
Solution :-
- Let radius of the circle = r m
➤ Area of the circle ( A ) = πr² ---( 1 )
➤ Area = 1.54 m²---( 2 )
so, equation :-
( 1 ) = ( 2 )
➤ πr² = 1.54 m²
⇒ ( 22 / 7 ) r² = 1.54
⇒ r² = 1.54 × 22/7
⇒ r² = 0.07 × 7
⇒ r² = 0.49
⇒ r = √0.49
⇒ r = 0.7
- Let the number of revolutions = n
- One revolution = perimeter of the circle (P)
⇒ n × 2πr = 176
⇒ n × 2 × 22/7 × 0.7 = 176
⇒ n = 176 × 7 / 2 × 22 × 0.7
⇒ n = 16 × 7 / 4 × 0.7
⇒ n = 112 / 2.8
⇒ n = 40
➤ Number of revolutions ( n ) = 40
Hence, the number of revolution wheel is 40.
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