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## CALCULATE THE NUMBER OF SECONDS IN ONE YEAR

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# 4 Answers

Calculate the number of seconds in one year.

- There are various ways this could be done based on how a year is defined. In math we tend to use 52 weeks, especially when calculating compound interest. It is not as accurate as 365.25 days, but that number is not completely accurate either. If the teacher does not give a value, choose one and then show your work so the teacher sees how you got your answer.
- Days are also not exactly 24 hours long.

1 min = 60 sec

1 hour = 60 min

1 day = 24 hrs

1 week = 7 days

1 year = 52 weeks

1 year x 52 weeks/year = 52 weeks

52 weeks x 7 days/week = 364 days

364 days x 24 hrs/day = 8736 hrs

8736 hrs x 60 min/hr = 524,160 min

524,160 min x 60 sec/min = 31,449,600 sec

- In general we consider a year to be 365 days and a day to be 24 hrs.
- Here is what that would look like.

1 year x 365 day/year = 365 days

365 days x 24 hrs/day = 8760 hrs

8760 hrs x 60 min/hr = 525,600 min

525,600 min x 60 sec/min = 31,536,000 sec

- If a more exact number is required you would need to use the exact number of days in a year and the exact number of hours in a day.

Hi Malissa;

[(365 days)/(1 year)][(24 hours)/(1 day)][(60 minutes)/(1 hour)][(60 seconds)/(1 minute)]

The units of day is in the numerator and denominator. It cancels...

[(365 days)/(1 year)][(24 hours)/(1
day)][(60 minutes)/(1 hour)][(60 seconds)/(1 minute)]

[(365)/(1 year)][(24 hours)][(60 minutes)/(1 hour)][(60 seconds)/(1 minute)]

The unit of hours is in the numerator and denominator. It cancels...

[(365)/(1 year)][(24 hours)][(60 minutes)/(1
hour)][(60 seconds)/(1 minute)]

[(365)/(1 year)][(24)][(60 minutes)][(60 seconds)/(1 minute)]

The unit of minutes is in the numerator and denominator. It cancels...

[(365)/(1 year)][(24)][(60 minutes)][(60 seconds)/(1
minute)]

[(365)/(1 year)][(24)][(60)][(60 seconds)]

The only units remaining are second in the numerator, and year in the denominator. This is what we want. Let's calculate...

31,536,000 seconds/year

From http://en.wikipedia.org/wiki/Year on Feb. 10, 2014:

"In astronomy, the Julian year is a unit of time, defined as 365.25 days of 86400 SI seconds each (no leap seconds)."

(365.25 days/year)(86400 seconds/day) = 31557600 seconds/year

(365.25 days/year)(24 hours/day)(60 minutes/hour)(60 seconds/minute)

= 31,557,600 seconds / year.

31,536,000

365(year) x 24(days) x 60(hour) x 60(seconds) = 31,536,000 (seconds in a year)

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