Question

The tropical year, the time interval from one vernal equinox to the next vernal equinox, is the basis for our calendar. It contains 365.242 199 days. Find the number of seconds in a tropical year.

Answer 1

Answer : The number of seconds in a tropical year is 47335388.99 seconds.

Explanation :

First we have to calculate the time for 1 year.

As we know that, 1 day has 86400 seconds.

So, 365.242199 days has
`\frac{365.242199\text{ days}}{1\text{ days}}* 86400\text{ seconds}=31556925.99\text{ seconds}`

First we have to calculate the time for half year.

The time for half a year =
`\frac{31556925.99\text{ seconds}}{2}=15778463\text{ seconds}`

Thus, the time required will be:

The required time =
`31556925.99\text{ seconds}+15778463\text{ seconds}=47335388.99\text{ seconds}`

Therefore, the number of seconds in a tropical year is 47335388.99 seconds.