06.1 - Circular Motion

Understandings:

• Period, frequency, angular displacement and angular velocity

• Centripetal force

• Centripetal acceleration

Applications and skills:

• Identifying the forces providing the centripetal forces such as tension, friction, gravitational, electrical, or magnetic

• Solving problems involving centripetal force, centripetal acceleration, period, frequency, angular displacement, linear speed and angular velocity

• Qualitatively and quantitatively describing examples of circular motion including cases of vertical and horizontal circular motion

Guidance:

• Banking will be considered qualitatively only

Data booklet reference:

International-mindedness:

• International collaboration is needed in establishing effective rocket launch sites to benefit space programmes

Theory of knowledge:

• Foucault’s pendulum gives a simple observable proof of the rotation of the Earth, which is largely unobservable. How can we have knowledge of things that are unobservable?

Utilization:

• Motion of charged particles in magnetic fields (see Physics sub-topic 5.4)

• Mass spectrometry (see Chemistry sub-topics 2.1 and 11.3)

• Playground and amusement park rides often use the principles of circular motion in their design

Aims:

• Aim 6: experiments could include (but are not limited to): mass on a string; observation and quantification of loop-the-loop experiences; friction of a mass on a turntable

• Aim 7: technology has allowed for more accurate and precise measurements of circular motion, including data loggers for force measurements and video analysis of objects moving in circular motion

Horizontal v. Vertical Circles - Wireless Force Sensors - Vernier Graphical Analysis

1. 1. How do the centripetal forces change between horizontal and vertical circles? 

   2. Tension at bottom of a pendulum, suppose a mass is hung from a string. The tension in the string is a constant 5-N.  The mass is then pulled to the side and allowed to swing, compare the tension in the string at the bottom of the arc to the original 5-N. 

   3. By swinging the sensor into a full VERTICAL circle, describe how the forces change at various parts of the circle. 

How does the Tension in the string change through the circle? Vertical Circle - Looping Problems:

• Flipping Physics Video Resources:

  • Water in a Bucket - NOTES

  • Water Bucket Analysis - NOTES

  • Minimum Speed of Bucket - NOTES

• Khan Academy Loop de Loop Problem 

  • Khan Academy - Video Intro

  • Fifth Gear Episode

  • Answer Part 1

  • Answer Part 2

• Vertical Loop Problems

  • American Eagle Hills Set 2

  • Problem Set 3 (Q10)  - Solutions

BMX 16ft Full Pipe Loop - Red Bull Full Circle

In Class Notes and Problems - COPY