•11 For about 10 years after the French Revolution, the Frenchgovernment attempted to base measures of time on multiples often: One week consisted of 10 days, one day consisted of 10 hours,one hour consisted of 100 minutes, and one minute consisted of 100seconds. What are the ratios of (a) the French decimal week to thestandard week and (b) the French decimal second to the standardsecond? The 2nd step to unit conversions is to re-write those equations so they are equal to 1. For exampleBIweek=11mile5280 ft=1=60 secor1min7daysor5280 ft=1 =1 min1mile60 seclweek7daysYou may notice that since they are equal to 1, their reciprocal is also equal to 1. Whether we choosethe version on the left or its reciprocal (on the right) depends on what units we wish to cancel in theterm we eventually need to convert. The 4 relations you wrote above can also be written as "1", butuntil we know what we're ultimately trying to convert we won't know whether to use the reciprocalrelation or not.Now write down whether you see any way to relate the French system to our standard system; isthere some quantity which is the same between the two systems?For part (a) in problem 11, is our day the same as the French day? Think about what actuallyhappens physically with the Earth during a standard day. Can our choice for a system of timechange the rotation of the Earth? Now you can write a 5th relation:1 standard day =French metric day (fill in the blank)Another relation not asked for in the problem could also be determined. What is the relationshipbetween a standard year and a French metric year?(more on back of page)Hopefully you've got the 4 relations given in the problem and also realized that 1 standard dayequals 1 French metric day as the 5th relation.To solve part (a), we need to relate 1 standard week to 1 metric week.1 standard week = 7 standard days1 metric week = 10 metric daysPart (a) doesn't require anything fancy, just find a way to relate the two systems. This is one way todo it:1standard week=1 also1metric week=17standard days10 metric daysSince both equations equal the same thing (1), they can be set equal to each other and you can re-arrange to obtain an answer for part (a). Do this now:For part (b) its vital to realize that you can multiply ANYTHING by 1 without changing its value!This is how we can convert units for part (b) and in fact for any quantity in general. The fourrelations you have written can be re-written as "1".changing its value. Treat units as variables that can be cancelled if they appear in both thedenominator AND numerator. Here we will multiply one day by “l" three times!You can multiply any quantity by 1 withoutAs a start:1 dayis the same as: (1 day) 24 standard hours | 60 standard minutes 60 standard seconds1 standard mintte-,Fstandard day1standard-houris the same as: 86,400 standard seconds. Note how the units cancelled, leaving just seconds.From this point, you should have a good basis to figure out part (b), which asks you to relate thelength of a standard second to the length of a metric second. Work part (b) in the space below.

According to french system : 1 week = 10 days 1 day = 10 hours 1 hour = 100 minutes

11 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?

11 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?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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