Question

If it takes $31536000seconds$ for the earth to complete one revolution, how many hours will it take to complete $100revolutions$? Express the answer in standard form

Answer 1

Step 1: Given

Time to complete one revolution: $t=31536000s$

The number of revolutions: $n=100$

Step 2: Formula Used

To convert seconds into minutes, we divide them by $60$ and to convert minutes into hours; we divide them by $60$. Thus to directly convert the seconds into hours, we divide it be $60\times 60=3600$.

Step 3: Calculating time

Convert the time from seconds to hours

$\begin{array}{rcl}t& =& 31536000seconds\\ & =& \frac{31536000}{3600}hours\\ & =& 8760hours\end{array}$

The time taken to complete one revolution is $8760hours$. So, to calculate the time taken to complete $n$ revolutions multiply it by $n$.

$\begin{array}{rcl}Timetakentocomplete100revolutions& =& 8760hours\times 100\\ & =& 876000hours\end{array}$

Hence, time taken to complete $100$ revolutions $876000hours$.