How Does Temperature Affect the Period of a Pendulum?

[jabbie3]

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

L_final=1.4+.00169=1.40169m
L_initial=1.4m
g=9.8 m/s²

$$\Delta$$T=T_final-T_initial

=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?

 

[Dr.D]

Check the units on your "relevant equation." I think you will find a problem there.