How Does Temperature Affect the Period of a Pendulum?

AI Thread Summary
The discussion focuses on calculating the change in the period of a pendulum when the temperature affects the length of the steel wire. The original length of the wire is 1.4 m, which increases by 1.69 mm due to a temperature rise of 11.9 degrees C. The formula used for the period is T=2π√(L/g), where g is the acceleration due to gravity at 9.8 m/s². The calculated change in period is approximately 0.00143 seconds, but the user is informed that there may be an error in the units of the relevant equation. The thread emphasizes the importance of unit consistency in calculations.
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Homework Statement



A simple pendulum uses a steel wire as the string. The length of this wire is 1.4 m at room temperature. If the temperature is increased by 11.9 degrees C, the length of the wire increases by 1.69 mm . What is the change in period of the pendulum?

Homework Equations



T=2pi*\sqrt{L/g}

The Attempt at a Solution



Lfinal=1.4+.00169=1.40169m
Linitial=1.4m
g=9.8 m/s2

\DeltaT=Tfinal-Tinitial

=2pi*\sqrt{1.40169/9.8}-2pi*\sqrt{1.4/9.8}

=2.376253765-2.374820823=.0014329416 s

This is wrong :(. What am I doing wrong?
 
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Check the units on your "relevant equation." I think you will find a problem there.
 

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