Lab 19: Conservation of Energy/Conservation of angular momentum
Author: Tian Cih Jiao
Lab Partners: Weisheng Zhang, Kitarou
Date: May 31th, 2017
Purpose of the lab:
The purpose of this lab is to justify conservation of angular momentum, coming up with experimental values and compare them with our predictions.
Theory/Introduction:
If there is no external torque acted upon, the conservation of angular momentum applies to the system. The equation is given as:
I initial * omega initial = I final * omega final
I initial * omega initial = I final * omega final
Experimental procedure:
Before we start carrying out the experiment, we need to predict the maximum height where the system (clay and meter stick) will rise to by plugging in equations for conservation of energy/angular momentum.
Before we start carrying out the experiment, we need to predict the maximum height where the system (clay and meter stick) will rise to by plugging in equations for conservation of energy/angular momentum.
Here is the calculation:
Lab picture:
First, we measured the mass of both meter stick and clay.
The apparatus is set up in such a way that the clay sticks to the meter stick when they come into a collision (by attaching nails at the other end of the meter stick, opposite to the pivot end).
We capture the video by Iphone 7 plus with 60 fps, then we use the software on macbook to trim the video. We analyze the video using LoggerPro by setting the length of the meter stick to 1 meter, then find the final position which is the highest point. By setting the lowest point close to zero, we can find out the height difference. Now that we have an experimental value and a predicted value, we can compare them and find the conservation of angular momentum in this lab.
The apparatus is set up in such a way that the clay sticks to the meter stick when they come into a collision (by attaching nails at the other end of the meter stick, opposite to the pivot end).
We capture the video by Iphone 7 plus with 60 fps, then we use the software on macbook to trim the video. We analyze the video using LoggerPro by setting the length of the meter stick to 1 meter, then find the final position which is the highest point. By setting the lowest point close to zero, we can find out the height difference. Now that we have an experimental value and a predicted value, we can compare them and find the conservation of angular momentum in this lab.
Measured data:
mass of the clay = 0.035 kg
mass of the meter stick = 0.145 kg
measured change in height = 0.3115 m
measured change in height = 0.3115 m
Analysis:
From the lab, we can get that the height difference is 0.3115 m, and the predict value is 0.323327 m. They are very close.
From the lab, we can get that the height difference is 0.3115 m, and the predict value is 0.323327 m. They are very close.
Conclusion:
From the result of lab, we can see we did good job for measuring data and calculating so that the results are very close. However, there are still some reasonable errors such as air friction and friction at the pivot, the horizontal is not leveled.
From the result of lab, we can see we did good job for measuring data and calculating so that the results are very close. However, there are still some reasonable errors such as air friction and friction at the pivot, the horizontal is not leveled.
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