Finding the period of a vibrating ruler

[Learnphysics]

Homework Statement

This is a practical experiment. We have to find the factors effecting the period of a vibrating ruler. This entails finding first the period of a vibrating ruler. We have the equipment a ruler, a stopwatch, some stickytape and a pencil

Homework Equations

The Attempt at a Solution

The obvious idea is to tape the pencil t the end of the ruler and then have it vibrate to produce a pattern if you held a paper to the end of the ruler, but of course this leads to all kinds of errors including how are you going to hold the paper steady and account for the "arc" movement of the tip of the ruler in vibration.

Just wondering is there a better way. Involving the equipment provided.

 

[tiny-tim]

The obvious idea is to tape the pencil t the end of the ruler and then have it vibrate to produce a pattern if you held a paper to the end of the ruler, but of course this leads to all kinds of errors including how are you going to hold the paper steady …

Hi Learnphysics!

Do you need to hold the paper steady?

Why not just move it past the ruler … you only need the paper for counting the number of the vibrations … the wavelength doesn't have to be reproduced!

 

[baba89]

As a scientist, there are a few steps I would take to find the period of a vibrating ruler in a more accurate and reliable manner. First, I would start by clearly defining the variables and factors that may affect the period of the ruler's vibration, such as the length of the ruler, the mass of the pencil, and the amplitude of the vibration.

Next, I would use a more precise and sensitive timing device, such as a digital timer, to measure the period of the ruler's vibration. This would eliminate human error in manually using a stopwatch.

To minimize the "arc" movement of the ruler's tip, I would suggest using a clamp or stand to hold the ruler in place during the experiment. This would also ensure that the ruler is vibrating in a consistent manner each time.

Additionally, I would suggest taking multiple measurements and calculating the average period to reduce any potential errors.

Another factor to consider is the material of the ruler. Different materials may have different levels of stiffness and affect the period of vibration. Therefore, it may be beneficial to test the period of vibration using rulers made of different materials.

In conclusion, by carefully controlling the variables and using more precise equipment, we can accurately determine the period of a vibrating ruler and also investigate the factors that may affect it. This will lead to a more comprehensive understanding of the concept and potential applications in other areas of science and engineering.