Physics Formulas explained
Thermal Expansion Formulas
Thermal Extension is the propensity of an item to change its aspect either long, volume, or
region because of intensity. To assist you with getting a decent grasp on the idea we have
recorded the Warm Development Recipes across the board place. Profit them during your
readiness and upgrade your subject mastery. Cheat Sheet on warm Development covers the
subjects like Differential Extension of Two Strong Bars, Range of Bimetallic Strip, Strange
Extension of Water, and so on. For some other assistance in regards to the connected
subjects utilize our Material Science Formulas and get legitimate help to grasp the ideas.
Important Thermal Expansion Formulae & Tables
1. Expansion of solid
(i) Linear Expansion: –
If α is the coefficient of linear expansion at t1°C.
l1 = length of the rod at t1°C
l2 = length of the rod at t2°C
l2 = l1[1 + α(t2 – t1)]
t may be in any unit °C or °K because in the formula there is a difference of
temperature which remains same for °C or °K.
If length of the rod is l0 at 0°C and l1 at t°C than
l1 = l0 [1 + α (t – 0)]
lt = l0(1 + αt)
where α is temperature coefficient of linear expansion at 0°C. Here t should be in °C
only because initial temperature is taken as 0°C.
(ii) Superficial Expansion: –
At = A0 (1 + βt) ; β = 2α
(iii) Cubical Expansion: –
Vt = V0(1 + γt) ; γ = 3α
Note: – If αx, αy and αz are the linear coefficients of expansion in x, y and z direction
then volume expansion = αx + αy + αz
coefficient of linear expansion = αz + αy + αz
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Thermal Expansion Formulas
Thermal Extension is the propensity of an item to change its aspect either long, volume, or
region because of intensity. To assist you with getting a decent grasp on the idea we have
recorded the Warm Development Recipes across the board place. Profit them during your
readiness and upgrade your subject mastery. Cheat Sheet on warm Development covers the
subjects like Differential Extension of Two Strong Bars, Range of Bimetallic Strip, Strange
Extension of Water, and so on. For some other assistance in regards to the connected
subjects utilize our Material Science Formulas and get legitimate help to grasp the ideas.
Important Thermal Expansion Formulae & Tables
1. Expansion of solid
(i) Linear Expansion: –
If α is the coefficient of linear expansion at t1°C.
l1 = length of the rod at t1°C
l2 = length of the rod at t2°C
l2 = l1[1 + α(t2 – t1)]
t may be in any unit °C or °K because in the formula there is a difference of
temperature which remains same for °C or °K.
If length of the rod is l0 at 0°C and l1 at t°C than
l1 = l0 [1 + α (t – 0)]
lt = l0(1 + αt)
where α is temperature coefficient of linear expansion at 0°C. Here t should be in °C
only because initial temperature is taken as 0°C.
(ii) Superficial Expansion: –
At = A0 (1 + βt) ; β = 2α
(iii) Cubical Expansion: –
Vt = V0(1 + γt) ; γ = 3α
Note: – If αx, αy and αz are the linear coefficients of expansion in x, y and z direction
then volume expansion = αx + αy + αz
coefficient of linear expansion = αz + αy + αz
3
