How Does Temperature Affect the Period of a Pendulum?

Click For Summary
SUMMARY

The discussion centers on calculating the change in the period of a simple pendulum when the length of the pendulum changes due to temperature variations. The initial length of the steel wire is 1.4 m, and with a temperature increase of 11.9 degrees Celsius, the length increases by 1.69 mm, resulting in a final length of 1.40169 m. The period is calculated using the formula T=2π√(L/g), where g is 9.8 m/s². The calculated change in period is approximately 0.00143 seconds, although the user expresses uncertainty about the correctness of their solution.

PREREQUISITES
  • Understanding of pendulum mechanics
  • Familiarity with the formula T=2π√(L/g)
  • Basic knowledge of thermal expansion principles
  • Ability to perform unit conversions accurately
NEXT STEPS
  • Review the principles of thermal expansion in materials
  • Study the effects of varying lengths on pendulum motion
  • Learn about the impact of gravitational acceleration on pendulum periods
  • Practice solving pendulum period problems with different materials and conditions
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and thermodynamics, as well as educators looking for practical examples of pendulum behavior under varying conditions.

jabbie3
Messages
19
Reaction score
0

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*[tex]\sqrt{L/g}[/tex]

The Attempt at a Solution



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

[tex]\Delta[/tex]T=Tfinal-Tinitial

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

=2.376253765-2.374820823=.0014329416 s

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

Similar threads

Period of a Pendulum on the Moon
  • · Replies 7 ·
Replies
7
Views
4K
JEE solution wrong? (tempco of a clock)
  • · Replies 14 ·
Replies
14
Views
2K
How Does Pivot Point Location Affect the Time Period of a Physical Pendulum?
  • · Replies 14 ·
Replies
14
Views
3K
What Happens to a Pendulum's Period at 90 Degrees Inclination?
  • · Replies 13 ·
Replies
13
Views
4K
Finding the period (T) of a pendulum on Mars
  • · Replies 3 ·
Replies
3
Views
5K
Change in time period of pendulum
  • · Replies 7 ·
Replies
7
Views
2K
How Does Temperature Affect Pendulum Clock Accuracy?
  • · Replies 17 ·
Replies
17
Views
10K
Time Period of pendulum on another planet? Given gravity
  • · Replies 9 ·
Replies
9
Views
15K
Pendulum Length and Period Calculations
  • · Replies 6 ·
Replies
6
Views
2K
Why Divide by 4 in Pendulum Period Calculation?
  • · Replies 2 ·
Replies
2
Views
2K