How many years does 150000 hours make up?

Answer 1

Approximately 17 years.

There are two possible ways to interpret this question. We could be asking for the number of average years (with an answer of approximately 17 years+40 days+15 hours as calculated below in the first answer, notes 3 and 4) or we could be asking about the number of actual years (and days) from a particular date as given by the second answer below (which gives an answer of exactly 17 years and 41 days for a specific date).

Answer 1

17 yrs (+ 40 days + 18 hours)

Solution Method:

1. There are an average of 365.25 days/year (365 days + 1 extra day every leap year (which occurs every 4 years) (i.e. 365 days + 1/4 average day/yr=365.25 average days/yr).

2. There are an average 8,766 hours/year (i.e. 365.25 average days/yr * 24 hrs/day)

3. 150,000 hours * 1 year / 8,766 hours = ~17.1 years

Notes:

1. "~" means "approximately".

2. 150,000 hrs / 24 hrs/day = 6250 days

6250 days / 365.25 aver days/yr = ~17.1 yrs = 150,000 hours * 1 year / 8,766 hours = ~17.1 yrs (exactly the same answer--i.e. 17 yrs + 40 days + 18 hours).

3. A complete orbit of the earth around the Sun occurs every 365.256363 mean solar days. With this number we can determine Earth's orbit hours are: 365.256363 * 24 = 8766.152712 hrs/yr. Using this more accurate time means the most accurate answer is: 150,000 / 8766.152712 = 17.111269325101394605957898124283 = 17 yrs + 40 days + 15 hours + 24 minutes + ~14 seconds).

4. Using 86400.002 seconds/mean solar day and 8766.1529149202 hours/mean solar year (86400.002/3600), the answer is: 150,000/8766.1529149202 = 17.11126893 years (i.e. 17 yrs + 40 days + 15 hours + 24 minutes + ~1.5256 seconds).

Answer 2

Unlike the first answer, we assume here that the question is about the number of actual years (and days) from a particular date. 150,000 hours = 24*6250 hours = 6250 days (exactly) since there are 24 hours in a day. This means that the number of years and days after 150,000 hours have elapsed relative to a particular time (year, month, day, hour, minute, second...) can be expressed exactly in a whole number of years and a whole number of days (there will be no additional hours, minutes or seconds if we ignore the leap seconds that are added to Universal Coordinated Time (UTC)). However, because of leap years, the exact answer will depend upon the start time.

One can determine the exact number of years and days most easily using a Julian Day Number (JDN) calculator.

For example:

Start day: September 10, 2012 = JDN 2456180.5

Ending JDN = 2456180.5+6250 = JDN 2462430.5

JDN 2462430.5 = October 21, 2029

Thus there were 17 years between September 10, 2012 and September 10, 2029.

Since September 10, 2029 = JDN 2462389.5,

The difference between October 21, 2029 and September 10, 2029 = 2462430.5 - 2462389.5 = 41 days exactly.

Thus the number of years and days exactly150,000 hours from (any time during) September 10, 2012, is 17 years and 41 days exactly (to the same time during the day if we ignore leap seconds).