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How many times in 24 hours are the hands of a clock at right angles to one another?

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How many times in 24 hours are the hands of a clock at right angles to one another?
posted Mar 22, 2018 by anonymous

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1 Answer

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44


In a 12 hour period, the minute hand makes 12 revolutions while the hour hand makes one. If you switch to a rotating coordinate system in which the hour hand stands still, then the minute hand makes only 11 revolutions, and so it is at right angles with the hour hand 22 times. In a 24 hour day you get 2×22=44

answer Nov 9, 2019 by Hanifa Mammadov
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