Rotational Mechanics
Syllabus, Handouts and PowerPoint lectures for this unit: Calendar | Handouts | Lectures
Click on these links for the assessments below for videos and examples ; -)
Lab for this unit: Gyroscope Investigation .:. Ezekiel's Wheel .:. Angular Momentum
Assessments: 8.1 - Rotational Kinematics .:. 8.2 - Rotational Dynamics .:. 8.3 - Rotational Energy and Momentum
8A. Understand basic angular quantities like angle, angular velocity and angular acceleration.
Worksheet8.0-AngularQuantities.docx - Due the first day
Noteguide08ABC-BasicAngularQuantitiesAndConversions.docx
Basic Angular Quantities
8B. Understand how to do conversions involving radians, rotations, radians per second, RPM, and rotations per second.
Angle Conversions:
Angle Conversion #1 (rot to rad)
Angle Conversion #2 (rad to rot)
Angle Conversion #3 (deg to rad)
Angle Conversion #4 (rad to deg)
Velocity Conversions:
Angular Velocity Conversion #1 (rot/s to rad/s)
Angular Velocity Conversion #2 (rad/s to rot/s)
Angular Velocity Conversion #3 (RPM to rad/s)
Angular Velocity Conversion #4 (rad/s to RPM)
Angular Velocity Conversion #5 (rot/s to RPM)
Angular Velocity Conversion #6 (RPM to rot/s)
8C. Understand how to use tangential relationships with angle, angular velocity, and acceleration.
Noteguide08ABC-BasicAngularQuantitiesAndConversions.docx
Worksheet8.0-AngularQuantities.docx - Due the first day
Tangential Relationships:
Distance and angle:
Tangential Relationships #1 (find s)
Tangential Relationships #2 (find angle)
Velocity and angular velocity (omega):
Tangential Relationships #3 (find v)
Tangential Relationships #4 (find omega)
Acceleration and angular acceleration (alpha):
Tangential Relationships #5 (find a)
Tangential Relationships #6 (find alpha)
Tangential with unit conversions:
Tangential Relationships #7 (rot, r to find s)
Tangential Relationships #8 (s, r to find rot)
Tangential Relationships #9 (RPM, r to find v)
Tangential Relationships #10 (v, r to find RPM)
8D. Use angular velocity to calculate centripetal acceleration.
Noteguide08D-CentripetalAcceleration.docx
Using Angular Velocity to Calculate Centripetal Acceleration:
8E. Solve problems with angular kinematics
(This is what we did the first day of the unit - If you missed the first day, go through these videos and the example problems and you should be fine.)
Noteguide08E-AngularKinematics.docx
Angular Kinematics:
Do you need to review Unit Conversions?
Do you need to review tangential relationships?
Tangential Relationships Ex #1
Tangential Relationships Ex #2
8G. Calculate moments of inertia.
Noteguide08G-MomentOfInertia.docx
Calculating Moment of Inertia (rotational "mass")
8I. Solve dynamics problems for an object rolling down an inclined plane.
Noteguide08I-Rolling Dynamics.docx
Solving Rolling Problems with Dynamics:
8J. Solve complex dynamics problems that require systems of linear equations
Noteguide08J-ComplexDynamics.docx
Solving Complex Dynamics Problems:
8K. Calculate rotational kinetic energy
Noteguide08K-RotationalKineticEnergy.docx
Rotational Kinetic Energy:
8L. Solve rolling problems using conservation of energy
Solving Rolling problems with Conservation of Energy:
8M. Solve complex problems using conservation of energy
Solving Complex problems with Conservation of Energy:
More examples solved with Dynamics and Energy: (Look at the Energy ones for this flip)
(In my opinion it is easier to use energy)
8O. Solve problems with torque, time, moment of inertia and change in angular velocity
Noteguide08NOP-AngularMomentum.docx
Torque, Time, Moment of Inertia, and Angular Velocity:
8P. Solve conservation of angular momentum problems.
Noteguide08NOP-AngularMomentum.docx
Conservation of Angular Momentum:
Sometimes Gyroscopic stability is cited as the reason bikes are stable. There is more to it than that.....
8Q1. Understand what the vector cross product is, and how to find the direction of it
The Definition of the Cross Product
Watch first
Examples of Cross Product Directions
Watch Second
8Q2. Understand precession in terms of the vector nature of angular velocity and torque.
Gyroscopic Precession:
8R. Understand the basic idea behind the Coriolis effect.
There is no noteguide - Just watch these two videos!! : - )
The Coriolis Effect:
MIT: (Watch this one too)