How many rotations will a wheel of diameter 7/11 m make over a distance of 4 km:_________?
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Answer: D. 2000
Explanation
The circumference of the wheel is calculated by multiplying pi by the given diameter value. Multiplying twenty two over seven by seven over eleventh gives a rolling distance of two meters per rotation. Dividing the total four thousand meter distance by two meters per rotation yields two thousand rotations. Wheel rotation distance equals the product of its outer circumference multiplied by total revolution count. Converting units to a consistent metric standard ensures accurate division across distance calculations. Circumference represents the linear distance traveled during one complete three hundred sixty degree wheel turn.
Automotive engineers calculate wheel revolution counts to calibrate vehicle speedometers and odometers accurately. Cyclists track distance traveled by counting wheel rotations using mounted digital sensor devices. Understanding rolling geometry is essential in mechanical engineering and transportation logistics. Option A suggests one thousand rotations which underestimates the total distance traversal count. Option B suggests fifteen00 rotations which fails to match the exact division of distance by circumference. Option C suggests seventeen hundred rotations which results from an incorrect wheel circumference value.
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