Question

Please help me with this question step by step on how to solve it. It takes the earth 24 h to complete a full rotation. If it would take Mercury approximately 38 days, 10 h, and 30min to complete a full rotation. How many hours does it take Mercury to complete a full rotation? Show yourwork using the correct conversion factors.

Answer 1

In order to find the number of hours it takes to do the full rotation we separate into pieces the days, hours, and minutes and convert each of them separately.

using the conversion factor from days to hours we get that

`1\text{day}=24\text{hours}`

then we get that

`38\text{days}\cdot\frac{24\text{hours}}{1day}=912hours`

hours does not need a conversion factor, meaning that

`10\text{hours}=10\text{hours}`

continue by converting the minutes using the following conversion factor

`1\text{hour}=60\min`

then,

`30\min \cdot\frac{1\text{hour}}{60\min }=0.5\text{hours}`

To complete add all the results together

`\begin{gathered} 912+10+0.5 \\ 922.5\text{hours} \end{gathered}`

It takes mercury 922.5 hours to complete a full rotation.