Circular Motion

Author

Victoria Hidalgo

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Science: Physics: Dynamics

Level

9-12

Activity Time

60 Minutes

TI Calculator

TI-83 Plus Family

TI-84 series

TI-83 Plus Family

Applications

DataMate

Accessories

CBL 2™
Sensor - Dual Range Force

Other Materials

Meter stick String Hook Motorized toy (dove) Double beam balance

Resource Types

Lessons

Report an Issue

Circular Motion

Activity Overview

In UCM, the net force called Fc is equal to mv2/r and is directed toward the center. This is demonstrated by an object that is suspended by a string and is moving in a circular path which makes a conical pendulum. In this experiment, you will measure the tension and the length of the string to show that net force, Fc = mv2/r.

Before the Activity

Preliminary Activity

Draw a free-body diagram that act on a conical pendulum.

Show the y and x components of the tension (T) on the string. Label the angle between the tension and the vertical.

Does the dove accelerate in the vertical direction

What does this tell you about the magnitude of the vertical component of T and mg?

Does the dove accelerate in the horizontal direction

Since the net force in the radial direction for objects in UCM is the centripetal force, what does this tell you about the horizontal component of T and mv2/r?

During the Activity

Procedure

Select 10N on the dual force sensor.

Hang the dual force sensor on the ceiling.

Connect the force sensor to channel 1 of the CBL™

Turn on the calculator and go to apps then DATAMATE™.

The main screen should show CH1 Force (N) on top and a force reading on the right hand corner.

Next you will zero the sensor.

Select setup from the main screen.

Select zero from the setup screen.

Select channel 1 from the select channel screen.

With the force sensor hanging on the ceiling, a 0 reading or about 0.024 will register on the right corner of the main screen.

Suspend the dove on the hook of the dual force sensor. Get the weight of the dove and record your data.

Measure the height from the point of suspension to the estimated center of mass of the dove. This is the length of the string (L).

Set up the dove by turning on the switch attached to its body. Wait for it to fly in a stable circle in 15 seconds or so.

Once the dove is up and flying in a circle of constant radius, measure the height (H) from the ceiling using a meter stick.

Select start on the main menu. Get the 3 highest force values from the graph.

Repeat to make 3 trials and get the average tension of the string and its height.

Data: Weight of dove __________N Trials Tension (T) in N Length (L) in m Height (H) in m 1 2 3 Average

After the Activity

Questions and Analysis
1. What techniques for measuring radius and angle would you recommend for best? 2. Calculate the tension on the string from Ty = mg and Tcos?. 3. a) what is supplying the centripetal force to keep the dove flying in a circle? b) How do you measure the doves' velocity? Use the calculators' math (solver) function. 4. What do you conclude about the direction of the net force that keeps the flying object in UCM? 5. How does the dove overcome air friction? 6. List sources of error.

Author

Victoria Hidalgo

Alignment

Standards Alignment

Textbook Alignment

Subject Area

Science: Physics: Dynamics

Level

9-12

Activity Time

60 Minutes

TI Calculator

TI-83 Plus Family

TI-84 series

TI-83 Plus Family

Applications

DataMate

Accessories

CBL 2™
Sensor - Dual Range Force

Other Materials

Meter stick String Hook Motorized toy (dove) Double beam balance

Resource Types

Lessons

Report an Issue

iPad is a trademark of Apple Inc., registered in the U.S. and other countries.
Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.

Control your cookie preferences

You can control your preferences for how we use cookies to collect and use information while you're on TI websites by adjusting the status of these categories.

Category	Description	Allow
Analytics and performance cookies	These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).
Advertising and marketing cookies	These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.
Functional cookies	These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly. If you do not allow these cookies, some or all of the site features and services may not function properly.
Social media cookies	These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.
Strictly necessary	These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).	Always On

Category

Description

Allow

Analytics and performance cookies

These cookies, including cookies from Google Analytics, allow us to recognize and count the number of visitors on TI sites and see how visitors navigate our sites. This helps us improve the way TI sites work (for example, by making it easier for you to find information on the site).

Advertising and marketing cookies

These cookies enable interest-based advertising on TI sites and third-party websites using information you make available to us when you interact with our sites. Interest-based ads are displayed to you based on cookies linked to your online activities, such as viewing products on our sites. We may also share this information with third parties for these purposes. These cookies help us tailor advertisements to better match your interests, manage the frequency with which you see an advertisement, and understand the effectiveness of our advertising.

Functional cookies

These cookies help identify who you are and store your activity and account information in order to deliver enhanced functionality, including a more personalized and relevant experience on our sites. If you do not allow these cookies, some or all site features and services may not function properly.

Social media cookies

These cookies allow identification of users and content connected to online social media, such as Facebook, Twitter and other social media platforms, and help TI improve its social media outreach.

Strictly necessary

These cookies are necessary for the operation of TI sites or to fulfill your requests (for example, to track what items you have placed into your cart on the TI.com, to access secure areas of the TI site, or to manage your configured cookie preferences).

Always On

Circular Motion

DataMate

Circular Motion

DataMate

Control your cookie preferences

Products

Product Support

Teacher Resources

Administrator Resources

Lessons and Activities

General Information