Chapter 1.2, Problem 11SSC

To determine

The number of seconds in a leap year.

Answer to Problem 11SSC

  $\text{1}\text{leap year}=31622400\text{s}$

Explanation of Solution

Given:

1 leap year

Formula Used:

A leap year has 366 days.

  $\begin{array}{l}\text{1day = 24 h}\\ \text{1}\text{h = 60 min}\\ \text{1 min = 60 s}\end{array}$

Calculations:

To convert leap year into seconds, multiply by conversion factors as follows:

  $\begin{array}{l}\text{1}\text{leap year = 366 days}\times \left(\frac{\text{24}\text{h}}{\text{1}\text{day}}\right)\times \left(\frac{\text{60 min}}{\text{1h}}\right)\times \left(\frac{\text{60}\text{s}}{\text{1min}}\right)\\ \Rightarrow \text{1}\text{leap year}=31622400\text{s}\end{array}$

Conclusion:

Thus, $\text{1}\text{leap year}=31622400\text{s}$ .