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The diameter of a wheel is 40 cm. How many revolutions will it make in covering 176 m? |
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Answer» Given the diameter of the wheel is 2r = 40 cm. ∴ The radius of the wheel is r = 20 cm. ∴ The circumference of the wheel is 2\(\pi\)r = 40\(\pi\) cm = 40 × 3.14 cm = 125.6 cm. So, distance covered in 1 revolution = 125.6 cm. ∴ No. of revolution to covering distance 125.6 cm is 1. ∴ No. of revolution to covering distance 1 cm is \(\frac{1}{1256}\). ∴ No. of revolution to covering distance 17600 cm is \(\frac{1}{125.6} \times 17600 = 140.12\). Hence, total 141 revolution needed for a wheel of diameter 40 cm to cover a distance of 176 m in travelling. Diameter of wheel = 40 cm = 0.4 m Radius of wheel = D/2 = 0.4 / 2 = 0.2m Circumference of wheel = 2πr = 2 × 22/7 × 0.2 = 1.256m . Therefore , distance covered in one revolution = 1.256m No. Of revolutions to cover 176 m = Total Distance / Distance covered in one revolution = 176 / 1.256 = 140.12 Hence , No of revolutions required to cover the distance of 176 m is 141 revolutions .
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