For about 10 years after the french revolution, the french government attempted to base measures of time on multiples of ten: one week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. what are the ratios of (a) the french decimal week to the standard week and (b) the french decimal second to the standard second? assume that the definition of a "day" remains the same.

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Mathematics

1 June, 17:10

For about 10 years after the french revolution, the french government attempted to base measures of time on multiples of ten: one week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. what are the ratios of (a) the french decimal week to the standard week and (b) the french decimal second to the standard second? assume that the definition of a "day" remains the same.

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Faith Little · Answer 1

To a). the ratio between the weeks is:

French week / normal week = 10/7 ≈ 1.43

to b) : 1 french day = 10 h I assume that a new french day lasts as long as a normal day.

Then you'll get the ratio:

(10 h x 100 min x 100 sec) / (24 h x 60 min x 60 sec) ≈ 11.574

That means one of the new french seconds is a very short time interval. So better check my calculations ...