- Shows how to calculate speed required to negotiate a banked curve with friction. Derivation compares centripetal and centrifugal points of view, and can of course be used for unbanked curves and zero friction.

Artifical Gravity problem. This problem is a real thinker - once kids have a basic idea for artificial gravity. The entire problem with illustrations and the People's Physics Book can be found here (Question #22, last page).

- Shows how to calculate speed required to negotiate a banked curve with friction. Derivation compares centripetal and centrifugal points of view, and can of course be used for unbanked curves and zero friction.

Artifical Gravity problem. This problem is a real thinker - once kids have a basic idea for artificial gravity. The entire problem with illustrations and the People's Physics Book can be found here (Question #22, last page).

A space station was established far from the gravitational field of Earth. Extended stays in zero gravity are not healthy for human beings. Thus, for the comfort of the astronauts, the station is rotated so that the astronauts feel there is an internal gravity. The rotation speed is such that the apparent acceleration of gravity is 9.8 m/s2. The direction of rotation is counter-clockwise.
a. If the radius of the station is 80 m, what is its rotational speed, v?
b. Draw vectors representing the astronaut’s velocity and acceleration.
c. Draw a free body diagram for the astronaut.
d. Is the astronaut exerting a force on the space station? If so, calculate its magnitude. Her mass m = 65 kg.
e. The astronaut drops a ball, which appears to accelerate to the ‘floor’, (see picture) at 9.8 m/s2.
i. Draw the velocity and acceleration vectors for the ball while it is in the air.
ii. What force(s) are acting on the ball while it is in the air?
iii. Draw the acceleration and velocity vectors after the ball hits the floor and comes to rest.
iv. What force(s) act on the ball after it hits the ground? Contributed by Bill Taylor

Center-directed Forces materials produced by ASU's Modeling Physics are available through the American Modeling Teachers Association'smembership website. The link above is to the Mechanics portion. Membership is required to access these materials.

Centripetal Force on an Airplane - Thanks Joe Stieve. These airplanes are available from physicstoolbox.com. Students love this one but it requires a little more maturity.

Virtual lab using Direct Measurement Videos: Students use conservation of energy to determine the expected velocity of two different falling/rotating objects: a disk and a hoop. They then analyze videos to determine the experimental value of velocity and calculate percent error. A third, irregular object (bicycle wheel with spokes and hub) is then analyzed to determine the coefficient of mr^2 for this arrangement of mass. Students continue to a conservation of angular momentum analysis.

Students determine the minimum tensile strength required for a leash to be used on flying pigs. Students also find net radial F (aka centripetal), net radial acceleration, tangential velocity, angular speed and so on.

Flying Pig Canonical Pendulum 1. Author: Bill Taylor,//bt4_1284@yahoo.com// 2. A toy flying pig is a canonical pendulum. By measuring the mass of the pig and the radius of the pendulum, one can determine the (theoretical) equilibrium speed of the pig. This can be compared to the actual speed. I use this Lab in AP-C, but it could also be used in an Honors course.

Flying Pig Conical Pendulum Lab My version of this popular lab. You will see that there are no direction for students on how to measure the radius of the circle the pig flies in. That is the fun part. They will come up with several methods that work, hopefully before the pig hits them in the head a few times. Dan Burns version of Paul Robinson's lab.

Flying Pig Conical Pendulum with an AP Twist
I took Martha Leitz's conical pendulum lab and melded it with "The Helicopter Ride" from Practicums for Physics Teachers by Henry Ryan and Jon Barber to create this small group lab. Works great- and very helpful since my 2nd year students have already seen the traditional lab. Author: Jen Grady (jgrady@hononegah.org)

1. Author: Ralph von Philp, vonphilp@myactv.net 2. This is a blend of some of the other labs on this page involving a flying pig or airplane and circular motion.

David Green's Circular Motion Apparatus. Note long Download 15 Meg

Allows one to calculate the moment of inertia of the platform and object using Pasco's Rotary Motion Sensor. You can use the included metal ring or rod with adjustable weights, or for added fun, try building a cage out of balsa wood, glue it to the platform, and find the moment of inertia of a (hard-boiled) egg. I don't have a full lab procedure at the moment, but I use masses between 10 - 60 g and the smallest radius setting on the spindle.

Circular Motion Example Problem Powerpoint Slides I used these to create screencasts that I post on Youtube for my students. They are meant for students that miss class or want to see additional examples. Some are follow-up examples to labs and demos done in class. You could use them to show in class or to create your own screencasts with your own voice for your students to hear. Video and audio files need to be downloaded separately and re-inserted into the slideshow. Feel free to modify them as you wish. Attribution to me is not necessary but please send me any errors you notice or other comments that might improve them. Dan Burns (dburns@lgsuhsd.org)

There are also activities posted in the Newton's Laws section that involve circular motion.: belowNOTESand DERIVATIONSCircular Motion & Universal Gravitation.Notes from Wayne Mullins. Wayne's (now somewhat old) notes can be accessed athttps://mus.haikulearning.com/wayne.mullins/apphysics1201516/cms_page/view/19696981

Centripetal/Centrifugal Force on a banked curve -Artifical Gravity problem.This problem is a real thinker - once kids have a basic idea for artificial gravity. The entire problem with illustrations and the People's Physics Book can be found here (Question #22, last page).Centripetal/Centrifugal Force on a banked curve -Artifical Gravity problem.This problem is a real thinker - once kids have a basic idea for artificial gravity. The entire problem with illustrations and the People's Physics Book can be found here (Question #22, last page).A space station was established far from the gravitational field of Earth. Extended stays in zero gravity are not healthy for human beings. Thus, for the comfort of the astronauts, the station is rotated so that the astronauts feel there is an internal gravity. The rotation speed is such that the apparent acceleration of gravity is 9.8 m/s2. The direction of rotation is counter-clockwise.

a. If the radius of the station is 80 m, what is its rotational speed, v?

b. Draw vectors representing the astronaut’s velocity and acceleration.

c. Draw a free body diagram for the astronaut.

d. Is the astronaut exerting a force on the space station? If so, calculate its magnitude. Her mass m = 65 kg.

e. The astronaut drops a ball, which appears to accelerate to the ‘floor’, (see picture) at 9.8 m/s2.

i. Draw the velocity and acceleration vectors for the ball while it is in the air.

ii. What force(s) are acting on the ball while it is in the air?

iii. Draw the acceleration and velocity vectors after the ball hits the floor and comes to rest.

iv. What force(s) act on the ball after it hits the ground?

Contributed by Bill TaylorbelowLABS & APPRATUSCentral Force Model:Center-directed Forcesmaterials produced byASU's Modeling Physicsare available through theAmerican Modeling Teachers Association'smembership website. The link above is to the Mechanics portion.Membership is requiredto access these materials.Centripetal Force on an Airplane- Thanks Joe Stieve. These airplanes are available from physicstoolbox.com. Students love this one but it requires a little more maturity.Web Resourcesin Forces, equilibrium and more (by the College Board).Rotational Kinetic Energy and Angular MomentumUsing Direct Measurement VideosFlying Pig Centripetal Forcefarming-flying-pigs.docAuthor: Paul Lulai//plulai@stanthony.k12.mn.us//Lab Type: Inquiry/Problem SolvingStudents determine the minimum tensile strength required for a leash to be used on flying pigs. Students also find net radial F (aka centripetal), net radial acceleration, tangential velocity, angular speed and so on.Flying Pig Canonical Pendulum1. Author: Bill Taylor,//bt4_1284@yahoo.com//2. A toy flying pig is a canonical pendulum. By measuring the mass of the pig and the radius of the pendulum, one can determine the (theoretical) equilibrium speed of the pig. This can be compared to the actual speed. I use this Lab in AP-C, but it could also be used in an Honors course.Flying Pig Conical Pendulum LabMy version of this popular lab. You will see that there are no direction for students on how to measure the radius of the circle the pig flies in. That is the fun part. They will come up with several methods that work, hopefully before the pig hits them in the head a few times. Dan Burns version of Paul Robinson's lab.Flying Pig Conical Pendulum with an AP TwistI took Martha Leitz's conical pendulum lab and melded it with "The Helicopter Ride" from

by Henry Ryan and Jon Barber to create this small group lab. Works great- and very helpful since my 2nd year students have already seen the traditional lab.Practicums for Physics TeachersAuthor: Jen Grady(jgrady@hononegah.org)Flying In Circles1.

Author: Ralph von Philp, vonphilp@myactv.net2.This is a blend of some of the other labs on this page involving a flying pig or airplane and circular motion.David Green's Circular Motion Apparatus.Note long Download 15 Meg## Link to Rotational Energy lab

Pasco Rotary Motion SensorRotational Apparatus.pdfJeff LawlisCircular Motion Example Problem Powerpoint SlidesI used these to create screencasts that I post on Youtube for my students. They are meant for students that miss class or want to see additional examples. Some are follow-up examples to labs and demos done in class. You could use them to show in class or to create your own screencasts with your own voice for your students to hear. Video and audio files need to be downloaded separately and re-inserted into the slideshow. Feel free to modify them as you wish. Attribution to me is not necessary but please send me any errors you notice or other comments that might improve them. Dan Burns (dburns@lgsuhsd.org)