- #1
Karol
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Homework Statement
The pendulum of a clock is made of alumina. what is the relative elongation when cooled from 750 fahrenheit to 450?
Homework Equations
$$L=L_0(1-\alpha \Delta t)$$
From Fahrenheit to Celsius:
$$t_f=\frac{9}{5}t_c+32^0$$
Coefficient of thermal elongation of alumina: 24E-6^0 celsius
The Attempt at a Solution
300 fahrenheit are: ##\Delta t_c=\Delta t_f \frac{5}{9} \Rightarrow \Delta t_c=16.67^0##
$$\frac{L}{L_0}=\frac{L_0(1-\alpha \Delta t)}{L_0}$$
$$24E-6^0 \cdot 16.67=0.0004$$
Exactly, and it It should be 0.00036