Difference between revisions of "Yeti"
(→Newton's Law of Cooling) |
(→Newton's Law of Cooling) |
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<math>dQ = -h(T-Ta)dt = mcdT</math> | <math>dQ = -h(T-Ta)dt = mcdT</math> | ||
| − | + | <math>Q</math> is thermal energy | |
| − | + | <math>h</math> is the heat transfer coefficient | |
| − | + | <math>T</math> is the temperature of the water | |
| − | + | <math>Ta</math> is the temperature of the air (environment) | |
| − | + | <math>t</math> is time | |
| − | + | <math>m</math> is mass of water | |
| − | + | <math>c</math> is specific heat capacity of water | |
The heat transfer coefficient '''h''' is depended on the material. Alpha is dependent on the surface area and beta is dependent on | The heat transfer coefficient '''h''' is depended on the material. Alpha is dependent on the surface area and beta is dependent on | ||
| Line 30: | Line 30: | ||
/alpha = h/a | /alpha = h/a | ||
| − | -h/mc dt = dT/(T-Ta) | + | <math>-h/mc dt = dT/(T-Ta)</math> |
| − | -ht/mc + C = ln(T(t)-Ta)) | + | <math>-ht/mc + C = ln(T(t)-Ta))</math> |
| − | -e^(ht/mc) + C = T(t)-Ta | + | <math>-e^(ht/mc) + C = T(t)-Ta</math> |
| − | -Ce^(ht) + Ta = T(t) | + | <math>-Ce^(ht) + Ta = T(t)</math> |
Revision as of 12:32, 18 November 2016
Contents
Thermal Physics - 2016 Fall
Introduction
Procedure
Data
Analysis
Newton's Law of Cooling
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle dQ = -h(T-Ta)dt = mcdT}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle Q} is thermal energy
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle h} is the heat transfer coefficient
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle T} is the temperature of the water
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle Ta} is the temperature of the air (environment)
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle t} is time
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle m} is mass of water
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle c} is specific heat capacity of water
The heat transfer coefficient h is depended on the material. Alpha is dependent on the surface area and beta is dependent on
/alpha = h/a
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle -h/mc dt = dT/(T-Ta)}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle -ht/mc + C = ln(T(t)-Ta))}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle -e^(ht/mc) + C = T(t)-Ta}
Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://api.formulasearchengine.com/v1/":): {\displaystyle -Ce^(ht) + Ta = T(t)}
