Question

Find the number of revolutions made by a circular wheel of area 6.16 m² in rolling a distance of 572 m.

Answer 1

Given:
Area of a wheel = 6.16 m²
Distance travel by wheel = 572 m

Area of a circular wheel = πr²
6.16 = π × r²
r² = 6.16 /π = (6.16 ×7 )/22 =0 .28 ×7 = 1.96 m
r =√1.96 = √1.4 × 1.4 = 1.4 m

Distance covered by a wheel in  one rotation = circumference of the wheel

Distance covered by a wheel in  one rotation = 2πr = 2 × (22/7) × 1.4
= (44 ×. 2) = 8.8 m

Number of revolutions made by a Wheel = Distance travelled by wheel / Distance covered by Wheel in one rotation

Number of revolutions made by a wheel = 572/8.8= 5720 /88=   65

Hence, the Number of revolutions made by a wheel is 65.

HOPE THIS WILL HELP YOU...

Answer 2

Hey mate..

Here's your answer....
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$no. \: of \: revolutions = distance \div circumference \\ \\ so \: area(\pi {r}^{2} ) = 6.16 \: sq \: m \\ {r}^{2} = 6.16 \div 3.14 \\ {r}^{2} =1 .96 \: m \\ r = 1.4m \\ \\ so \: circumference = 2\pi \: r \\ 2 \times 3.14 \times 1.4 = 8.792 \: m \\ \\ \\ so \: revolutions = 572 \div 8.792 = 65.05 \\ \\ hence \: almost \: 65 \: revolutions$
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HOPE IT HELPS...

@Rêyaañ11