Physics project confusion (effects of length on a pendulum)

In summary, the professor wants us to measure the centripetal acceleration of a pendulum using a simple motion sensor and a pendulum of a known length. They want us to measure the centripetal acceleration at different points along the pendulum's swing. They also want us to measure the acceleration of gravity on the pendulum. If we don't have a force sensor, they want us to propose a way to measure the force without one.
  • #1
dpatil
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Homework Statement
We are seeking to study the effects of length (or radius) of a pendulum on the centripetal acceleration.
Relevant Equations
Centripetal Acceleration= velocity^2/r
We are seeking to design a project where we use a simple pendulum and a motion sensor (that will give us velocity) in order to study centripetal acceleration by essentially changing the length of the pendulum for each trial. This felt simple enough, however our professor insists that we would also need a force sensor in order to do the experiment. I cannot understand why we would need force if all we are doing is swinging a pendulum through a motion sensor to study velocity^2/r where r is the length of the pendulum. How would force help us in this situation?
 
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  • #2
Welcome, @dpatil ! :smile:

He may want to relate force or tension in the string (centripetal acceleration x mass of the pendulum) to the changes in the length of the pendulum.

Acceleration of gravity (always vertical) on the pendulum needs to be considered as well in combination with the centripetal acceleration (always radial).
 
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  • #3
Welcome to PF.

dpatil said:
How would force help us in this situation?
What are your thoughts so far on this? Did the professor say where they wanted the force(s) measured? Did they suggest a 1-D or 2-D force sensor?
 
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  • #4
This doesn't have to do with the force measurement, but are you planning on raising the bob to the same height or the same angle? What are the expected results for ##\frac{v^2}{R}## at the lowest point of the swing in either case? That might be something to try and figure out and attempt to verify via measurement.
 
  • #5
You say you don’t need a force sensor. Ok. Please post the description of the task as given to you and the experimental procedure you propose to follow. Then we will be in a better position to ascertain whether a force sensor is appropriate to use and how.
 
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  • #6
This is actually a very nice idea for an experiment that can go beyond "seeking to study the effects of length (or radius) of a pendulum on the centripetal acceleration." I will not say anything more lest I spoil it for someone.
 
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FAQ: Physics project confusion (effects of length on a pendulum)

1. What is the purpose of a pendulum in a physics project?

The purpose of a pendulum in a physics project is to demonstrate the effects of length on its oscillation period. This can help students understand the concept of periodic motion and how it is affected by different variables.

2. How does the length of a pendulum affect its oscillation period?

The length of a pendulum directly affects its oscillation period. The longer the length of the pendulum, the longer it takes to complete one full swing. This is because the longer pendulum has a greater distance to travel, resulting in a slower oscillation period.

3. What are some other factors that can affect the oscillation period of a pendulum?

Apart from length, other factors that can affect the oscillation period of a pendulum include the mass of the pendulum, the angle of release, and the air resistance. These factors can alter the speed and motion of the pendulum, resulting in a different oscillation period.

4. How can we measure the oscillation period of a pendulum?

The oscillation period of a pendulum can be measured by counting the number of swings it completes in a given time period. The time can be measured using a stopwatch, and the average number of swings can be calculated to determine the oscillation period.

5. What are some real-world applications of understanding the effects of length on a pendulum?

Understanding the effects of length on a pendulum has various real-world applications, such as in clock mechanisms, seismology, and even in sports equipment design. It also helps in understanding the concept of resonance and its applications in musical instruments.

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