Some environmentally conscious people build their homes in the shape of domes. is less heat lost in a dome-shaped dwelling?
To Explain: Low heat lost from dome-shaped dwelling.
Explanation of Solution
Introduction:
Heat is a form of energy and it always flows from higher temperature to lower temperature.
The mathematical equation of heat transfer is:
Rate =
Where,
From above, it can be concluded that the heat transfer depends directly on the surface area of the body, the difference in the temperature and inversely proportional to the thickness or distance.
If there are different types of three-dimensional shapes and their volumes are fixed then only a sphere has a less surface area.
The shape is dome is like the shape of a sphere. So, the surface area of the dome is less than another geometric figure.
Rate =
Thus, there will be less heat lost in the dome-shaped dwelling than any other geometric figure of the same volume.
Conclusion:
The rate of heat transfer is directly proportional to the surface area.
Chapter 18 Solutions
Conceptual Physics: The High School Physics Program
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