The length of the road is 18.84 km. The diameter of a wheel is 30 cm.How many revolutions does the wheel make to complete the road? Use pi= 3.145 marks21000185002000021500
Question
The length of the road is 18.84 km. The diameter of a wheel is 30 cm.How many revolutions does the wheel make to complete the road? Use pi= 3.145 marks21000185002000021500
Solution
To solve this problem, we need to first convert the diameter of the wheel to kilometers, then calculate the circumference of the wheel, and finally divide the length of the road by the circumference of the wheel to find the number of revolutions.
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Convert the diameter of the wheel to kilometers: 30 cm = 0.0003 km
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Calculate the circumference of the wheel: Circumference = π * Diameter Circumference = 3.145 * 0.0003 km = 0.0009435 km
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Calculate the number of revolutions: Number of revolutions = Length of the road / Circumference of the wheel Number of revolutions = 18.84 km / 0.0009435 km/revolution = 19968.68 revolutions
So, the wheel makes approximately 19969 revolutions to complete the road.
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