Q15P A fortnight is a charming Englis... [FREE SOLUTION]

Chapter 1: Q15P (page 9)

A fortnight is a charming English measure of time equal to 2.0 weeks (the word is a contraction of 鈥渇ourteen nights鈥�). That is a nice amount of time in pleasant company but perhaps a painful string of microseconds in unpleasant company. How many microseconds are in a fortnight?

Expert verified

The number in microseconds in the fortnight is $1.21 脳 10^{12} 渭 s$ .

Consider there are 2 weeks in one fortnight and 7 days in one week.Use dimensional analysis to find 2.0 weeks in microseconds.

$2.0 w e e k s . (\frac{7 d a y}{1 w e e k}) . (\frac{24 h}{1 d a y}) . (\frac{60 m i n}{1 h}) . (\frac{60 s}{1 m i n}) = 1209600 s$

Thus, there are 1209600 s in a week.

Convert the seconds into microseconds using dimensional analysis.

$\begin{array}{rcl} 1209600 s & = & 1.21 脳 10^{6} s 脳 (\frac{1 渭 s}{10^{- 6} s}) \\ = & 1.21 脳 10^{12} 渭 s \end{array}$

Therefore, there $1.21 脳 10^{12}$ are microseconds in fortnight.

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