How Does Increasing the Frequency Affect Accuracy in a Circular Motion Lab?

In summary, During the lab, a rubber stopper was attached to a string which was then attached to a hollow tube. A mass was tied to the bottom of the string and the stopper was swung horizontally by rotating the tube. The frequency of the stopper's revolutions was then calculated while changing variables. The question was asked about the accuracy of the investigation and it was determined that as the frequency of revolution increases, the accuracy decreases due to the difficulty in counting revolutions at higher speeds. The tension force acting on the stopper should be horizontal for the greatest accuracy, as the vertical component balances the weight of the stopper while the horizontal component supplies the centripetal force. The angle of the string below the horizontal should not increase with speed
  • #1
msimard8
57
0
This is a question pertaining to a lab we did. Ill try to describe it the best i can. What we pratically did was attach a rubber stopper to an end of a string, put the string to a hollow tube (like a torn apart pen), and tied a mass on the bottom. We had to hold on the tube and start swinging the rubber stopper horizontally by rotating the tube. The mass tied to the string caused a tension force. It is impossible to have the stopper on the string spinning perfectly horizontal because perpindicular forces are independent of each other. We then had to calculate the frequency of the stopper while changing some variables.

Here is my question,

For the greatest accuracy in this investigation, the tension force acting on the tsopper should be horizontal. In this context, what happens to the accuracy as the frequency of revolution of the stopper increases (with the other variables held constant)?


i said as the frequency increases, the accuracy decreases, but i don't know how to explain why.
 
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  • #2
Oh, i did a very similar lab to this one. Anyways, your answers is correct and i think it is so because as the stopper spins faster, it gets harder to count the revolutions and stop the timer at the exact time of the revolution occurring.
 
  • #3
To make the stopper rotate you need to wave your hand to and fro. This motion will have the same period as that of the stopper. It is much easier to watch the motion of the operator's hand than to try and see what the stopper is doing (which is moving too quickly to see - the eye has great difficulty in focussing on it). It becomes much more difficult to count the revolutions as the speed increases.

Yes, you are correct in thinking that the tension will point a bit upwards. The vertical component need to balance the weight of the stopper while the horizontal component supplies the centripetal force.

The angle of the string below the horizontal should not increase with speed since the needed vertical component of the tension need not increase at a greater radius (weight of the stopper stays the same). The stopper will swing at a lower height though at a greater radius.
 

Related to How Does Increasing the Frequency Affect Accuracy in a Circular Motion Lab?

1. What is circular motion and why is it important to study?

Circular motion is the movement of an object in a circular path around a fixed point. It is important to study because many objects in our daily lives, such as the Earth around the Sun or a Ferris wheel, move in circular motion. Understanding circular motion can also help us understand other types of motion and phenomena, such as centripetal force and gravitational force.

2. What is the purpose of a Circular Motion lab problem?

The purpose of a Circular Motion lab problem is to demonstrate and investigate the principles of circular motion through hands-on experimentation. It allows scientists to collect data and analyze it to better understand the behavior of objects in circular motion.

3. What are some common variables that are measured in a Circular Motion lab?

Some common variables that are measured in a Circular Motion lab include the radius of the circular path, the mass of the object, the speed of the object, and the centripetal force acting on the object. These variables can help scientists calculate and understand the relationship between different factors in circular motion.

4. How can the results of a Circular Motion lab problem be applied in real-world situations?

The results of a Circular Motion lab problem can be applied in real-world situations in various ways. For example, understanding the principles of circular motion can help engineers design safer and more efficient roller coasters and amusement park rides. It can also be used to calculate the orbital paths of planets and satellites, and to understand the forces acting on objects in circular motion, such as a car turning a corner.

5. What are some potential sources of error in a Circular Motion lab?

Some potential sources of error in a Circular Motion lab include friction, air resistance, and human error in taking measurements. These factors can affect the accuracy of the data collected and may need to be accounted for in the analysis of the results. It is important for scientists to identify and minimize sources of error to ensure the validity of their conclusions.

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