PH 201 Post-Lab 07

Uniform Circular Motion

Name

Solution

 

1. Why did you time 10 complete revolutions instead of a single revolution to determine the period (T) of the motion?  Be as specific as possible in your response.

 

The time for one period was less than one second for most of the added masses.  Human reaction time being what it is would make it very difficult to get an accurate measurement over that short a time.

 

2. If you made a plot of period squared vs mass, what would your slope be?

 

Since

 

The slope will be what sits in front of the mass so

 

 

3. If you made a plot of period squared vs mass, what would your y-intercept be?

 

The y-intercept is what is added after the mass and there is nothing there.  So;

 

 

Over à

 

4. If you made a plot of Ln(period) vs Ln(mass), what would your slope be?

 

Since

 

You can solve the equation for period by taking the square root and you get:

 

Now take the LN of both sides

Using rules of logs we can rewrite this equation to look like the equation of a line.

 

 

 

5. If you made a plot of Ln(period) vs Ln(mass), what would your y-intercept be?

 

From the equation above the y-intercept is the second term so

 

 

 

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This page last updated on January 11, 2020