Manipulating Data to Create a Linear Graph for Circular Motion Experiment

In summary, the conversation discusses an experiment where the centripetal force and period of revolution were measured by spinning a stopper connected to a string. The resulting data was used to plot a parabolic graph, but the individual is looking for a way to manipulate the data to create a linear graph with the restriction of Applied Force vs Period. Suggestions are given for working out a formula for centripetal force and using dimensional analysis to determine the relationship between force and time.
  • #1
tonogai40
we recently did an experiment where we spun a stopper which was connected to a string and held stoppers on the other end of the string. we then found the centripital force and period of revolution.

using that data we plotted a graph which resulted in a parabolic graph. my question is that i need to manipulate that data so the graph becomes linear.

ive tried plotting F vs T^2 and things like F vs 1/T. The only restriction is that the graph has to be Applied Force vs Period.

any help would be greatly appreciated
 
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  • #2
Well, have you tried working out a formula the centripetal force as a function of period? Do you have a formula for centripetal force? What is it related to?

You can even work out the answer by dimensional analysis ... if you have a force, which has units of kilogram-meters per seconds-squared, how must that depend on time?
 
  • #3
Fc = ma = mv^2/R

v = 2 * pi * f = 2pi*T^-1

Fc = 4pi^2 * m/RT
 

Related to Manipulating Data to Create a Linear Graph for Circular Motion Experiment

1. How do you manipulate data to create a linear graph for a circular motion experiment?

To create a linear graph for a circular motion experiment, first plot the angular velocity (ω) on the y-axis and the angle (θ) on the x-axis. Then, use the formula ω = θ / t to calculate the angular velocity for each data point. Finally, plot the angular velocity values against the angle values on a graph to create a linear relationship.

2. What is the purpose of creating a linear graph for a circular motion experiment?

The purpose of creating a linear graph for a circular motion experiment is to analyze the relationship between the angle and angular velocity in a circular motion. This can help in understanding the acceleration, velocity, and displacement of an object in circular motion.

3. How do you know if the data points on a linear graph for a circular motion experiment are accurate?

To ensure the accuracy of the data points on a linear graph for a circular motion experiment, you can calculate the slope of the line. The slope should be constant and equal to the angular velocity of the object. Additionally, the data points should form a straight line with minimal deviations from the line.

4. Can you use a linear graph to predict the behavior of an object in circular motion?

Yes, a linear graph for a circular motion experiment can be used to predict the behavior of an object in circular motion. By analyzing the slope and intercept of the linear graph, one can determine the acceleration and initial velocity of the object.

5. Are there any limitations to creating a linear graph for a circular motion experiment?

Yes, there are a few limitations to creating a linear graph for a circular motion experiment. It assumes that the angular velocity remains constant throughout the motion, which may not always be the case. Additionally, it does not account for external forces or friction that may affect the motion of the object.

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