Yeti
From PHYSpedia
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}
Q is thermal energy
h is the heat transfer coefficient
T is the temperature of the water
Ta is the temperature of the air (environment)
t is time
m is mass of water
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
-h/mc dt = dT/(T-Ta)
-ht/mc + C = ln(T(t)-Ta))
-e^(ht/mc) + C = T(t)-Ta
-Ce^(ht) + Ta = T(t)