PHYS16 – Lecture 21

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PHYS16 – Lecture 21. Circular Motion October 27, 2010. Administration. Test Th /F 1-4 pm Merrill 200 Same Format Remember 4 assignments due Sunday or Monday. Where have we been…. Position, Velocity, and Acceleration 1D and 2D Motion – Kinematics Force – Newton’s laws Momentum

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PHYS16 – Lecture 21

Circular Motion

October 27, 2010

• Test
• Th/F 1-4 pm
• Merrill 200
• Same Format
• Remember 4 assignments due Sunday or Monday
Where have we been…
• Position, Velocity, and Acceleration
• 1D and 2D Motion – Kinematics
• Force – Newton’s laws
• Momentum
• Energy

http://www.teachengineering.org/collection/cub_/lessons/cub_images/cub_rockets_lesson02_figure3.jpg

Where we are going…
• Applications
• Circular Motion and Rotation
• Static Equilibrium
• Gravitation and Movement of Planets
• Fluids
• Mechanical waves

Circular Motion and Rotation
• Angular disp., velocity, and acceleration
• Circular motion kinematics
• Centripetal force
• Angular momentum
• Torque and inertia
• Simple Machines II – gears, belts, and levers
Polar Coordinates

http://en.citizendium.org/images/thumb/1/18/Polar_coordinates_.png/250px-Polar_coordinates_.png

Angular displacement
• Angular displacement – the angular difference between final and initial angle
• Arc length – angular equivalent of distance, how long the arc is that the angle sweeps out

Scalar or vector?

Angular velocity
• Angular velocity or angular frequency (ω) – how much an object’s angular coordinate changes with time
• Related to frequency (f) and period (T)

http://en.citizendium.org/images/thumb/1/18/Polar_coordinates_.png/250px-Polar_coordinates_.png

Discussion Questions
• Which way does ball on string go?
• If you have a rotating wheel and I want to velcro a marble to it, where should I velcro to get max ang. velocity? Where should I velcro to get max lin. velocity?

Tangentially

Ang. Velocity is the same for any point on wheel

Lin. Velocity is greatest at edge

Angular vs. linear velocity

Angular acceleration
• Angular acceleration (α) – how the angular velocity changes in time
• Related to the tangential acceleration (aT)
Angular vs. linear acceleration
• Uniform circular motion – α = 0, only centripetal accel. (aC)
• Non-uniform circular motion – both aT and aC

aT

aC