# Lab 7 Circular Motion

Lab Assignment 7: Circular MotionInstructors 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
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?

Don't use plagiarized sources. Get Your Custom Essay on
Lab 7 Circular Motion
Just from \$13/Page

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

Material and Methods
Results
Data table:
*Complete this column after performing the calculation in question 5 below.
questions:

Drawacircletorepresentthepathtakenbyyourrotatingmass.Placea
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.

(meters)

Time for 15
revs

Period (sec)

Theoretical Period
(sec)*

0.25

0.40

0.15

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:

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.

Fromyourfree-bodydiagram,writethesumoftheforcesexperiencedby
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 ? = 2p/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.

Solvetheaboveequationfortheperiod,T.

Now let’s look at the special case of our experiment: 4m1 = m2. Show
that our general expression for the period T becomes:
Using this expression for the period, fill in the theoretical period in the
results table.

the angular frequency change?

7. Wereyourexperimentalvaluesclosetothetheoreticalvalues?Howcould
you improve the experiment to reduce error?
Conclusions
References
labassignment7pdf.pdf

Unformatted Attachment Preview

Lab Assignment 7: Circular Motion
Instructors 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
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
Material and Methods
Results
Data table:
(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.
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:
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:



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 ? = 2p/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: 4m1 = m2. Show
that our general expression for the period T becomes:
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?
7. Were your experimental values close to the theoretical values? How could
you improve the experiment to reduce error?
Conclusions
References

attachment

Pages (550 words)
Approximate price: -

Why Work with Us

Top Quality and Well-Researched Papers

We always make sure that writers follow all your instructions precisely. You can choose your academic level: high school, college/university or professional, and we will assign a writer who has a respective degree.

We have a team of professional writers with experience in academic and business writing. Many are native speakers and able to perform any task for which you need help.

Free Unlimited Revisions

If you think we missed something, send your order for a free revision. You have 10 days to submit the order for review after you have received the final document. You can do this yourself after logging into your personal account or by contacting our support.

Prompt Delivery and 100% Money-Back-Guarantee

All papers are always delivered on time. In case we need more time to master your paper, we may contact you regarding the deadline extension. In case you cannot provide us with more time, a 100% refund is guaranteed.

Original & Confidential

We use several writing tools checks to ensure that all documents you receive are free from plagiarism. Our editors carefully review all quotations in the text. We also promise maximum confidentiality in all of our services.

Our support agents are available 24 hours a day 7 days a week and committed to providing you with the best customer experience. Get in touch whenever you need any assistance.

Try it now!

## Calculate the price of your order

Total price:
\$0.00

How it works?

Fill in the order form and provide all details of your assignment.

Proceed with the payment

Choose the payment system that suits you most.

Our Services

No need to work on your paper at night. Sleep tight, we will cover your back. We offer all kinds of writing services.

## Essay Writing Service

No matter what kind of academic paper you need and how urgent you need it, you are welcome to choose your academic level and the type of your paper at an affordable price. We take care of all your paper needs and give a 24/7 customer care support system.