Utica College Circular Motion Lab Report I’m looking for help on finishing a physics lab. Atached is the lab assignment. any help would be greatly appreciated. Lab Assignment 7: Circular Motion

Instructors Overview

Circular motion is an integral part of our everyday lives. We experience circular

motion when we leave highways on cloverleaf exits and on amusement park

rides. Countless systems and devices leverage circular motion. We will discuss

real-world applications in this module’s discussion. In this lab, you will directly

experiment with uniform circular motion and quantify the behavior of a simple

system. To execute the lab, you’ll synthesize your knowledge and experience

with free-body diagrams and Newton’s second law.

In this lab, you will create a simple system of two different masses connected by

a piece of fishing line. Here’s the twist: The fishing line is threaded through a

tube. You will rotate the tube and achieve an equilibrium situation where the

lower mass is vertically stationary. You will then use your knowledge of circular

motion to analyze the situation.

This activity is based on Lab 8 of the eScience Lab kit.

Take detailed notes as you perform the experiment and fill out the sections

below. This document serves as your lab report. Please include detailed

descriptions of your experimental methods and observations.

Experiment Tips:

? Make sure you use fishing line instead of string for the experiment. Can you

guess why?

? Be careful when you rotate the mass. Be aware of your surroundings so

nothing is inadvertently hit by the rotating mass.

? Enlist the aid of a partner to time your experiments.

Date:

Student:

Abstract

Introduction

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Material and Methods

Results

Data table:

Radius (meters)

0.25

0.40

0.15

Time for 15 revs

Period (sec)

Theoretical Period (sec)*

*Complete this column after performing the calculation in question 5 below.

Based on your results from the experiment, please answer the following

questions:

1. Draw a circle to represent the path taken by your rotating mass. Place a

dot on the circle to represent your rotating washer. Add a straight line from

the dot to the center of the circle, representing the radius of rotation (the

string). Now label the direction of the tangential velocity and the centripetal

force.

2. Here is a diagram of our experimental situation:

m1 R

m2

Please add vectors to create a free-body diagram. Assume that m1 is

rotating at a speed v with a constant radius R.

The following forces should be included in your free-body diagram:

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?

?

?

Tension in the string

Centripetal force on the rotating mass

Gravitational force on the hanging mass

Hint: Each mass experiences the tension in the string. The string tension

ultimately cancels out when you solve Newton’s equations of motion for

both masses.

3. From your free-body diagram, write the sum of the forces experienced by

mass m1. From your free-body diagram, write the sum of the forces

experienced by mass m2.

(For the equation for mass m1, use the following relations to replace the

speed, v: v = ?R, where R is the radius of rotation ? = 2?/T, where T is the

period of rotation.)

In question 4 you will solve the two above equations to obtain the period of

the rotating system in terms of the radius of rotation and the two masses,

m1 and m2.

4. Solve the above equation for the period, T.

5. Now let’s look at the special case of our experiment: 4m 1 = m2. Show that

our general expression for the period T becomes:

T?

? 2R

g

Using this expression for the period, fill in the theoretical period in the

results table.

6. How did the period of rotation vary as you changed the radius? How does

the angular frequency change?

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7. Were your experimental values close to the theoretical values? How could

you improve the experiment to reduce error?

Conclusions

References

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