Question
Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length of a column of water $1.00 \mathrm{km}$ high for a temperature increase of $1.00^{\circ} \mathrm{C}$. Note that this calculation is only approximate because ocean warming is not uniform with depth.
Step 1
Step 1: We know that the change in length is given by the formula $\Delta L = \alpha \cdot L \cdot \Delta T$, where $\alpha$ is the coefficient of linear expansion, $L$ is the initial length, and $\Delta T$ is the change in temperature. Show more…
Show all steps
Your feedback will help us improve your experience
Zulfiqar Ali and 98 other Physics 101 Mechanics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length of a column of water 1.00 km high for a temperature increase of 1.00ºC. Note that this calculation is only approximate because ocean warming is not uniform with depth.
Global warming will produce rising sea levels partly due to melting ice caps and partly due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length of a column of water $1.00 \mathrm{km}$ high for a temperature increase of $1.00^{\circ} \mathrm{C} .$ Assume the column is not free to expand sideways. As a model of the ocean, that is a reasonable approximation, as only parts of the ocean very close to the surface can expand sideways onto land, and only to a limited degree. As another approximation, neglect the fact that ocean warming is not uniform with depth.
Global warming will produce rising sea levels partly due to melting ice caps but also due to the expansion of water as average ocean temperatures rise. To get some idea of the size of this effect, calculate the change in length (in m) of a column of water 1.25 km high for a temperature increase of 1.11°C. Note that this calculation is only approximate because ocean warming is not uniform with depth. (Assume the expansion of the column is unconstrained.)
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD