PHYS 1070 Lecture Notes - Lecture 11: Angular Acceleration, M60 Patton, Tom Cruise
Physics 111
Student Lecture Note 11a, 11b, 11c
Side 1 of 11
Introduction to Angular Velocity, Acceleration and
Circular Motion
Lecture Content Overview
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Concept/Topic/Title/Terms
Task to be able to perform
Radians
• Convert from degrees to radians and back
Angular Displacement
Angular Velocity
Angular Acceleration
• Use Linear Kinematics as an Analogy to help you
solve problems involving Angular Kinematics
Centripetal Acceleration
Centripetal Force
• Determine the Centripetal Acceleration and
Centripetal Force on a Mass
o Maximum Speed of
▪ Car on a circular curve – Friction
▪ Ball on a string – Tension
o Speed of a Satellite – Gravity
o Mass of a Planet? Or the Sun? Or a Star?!
Defining the Radian
Arc Length, Radius, and Angle
The Radian
Converting
Angular Displacement
A car travels 75� along a circular expressway ramp of radius 5 �. Determine the
car’s agular displaceet.
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Physics 111
Student Lecture Note 11a, 11b, 11c:
Intro to Angular Velocity, Accerlaration and Circular Motion
Side 2 of 11
Later
Comparing Two Isomorphic Worlds
Linear World
Rotational World
Important Rotational Variable Names
Kinematics Equations for
Constant Angular Acceleration
Constant Linear Acceleration
Rotational Motion About a Fixed Axis
Linear Motion
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Physics 111
Student Lecture Note 11a, 11b, 11c:
Intro to Angular Velocity, Accerlaration and Circular Motion
Side 3 of 11
Rotational Motion: Problem-Solving
A wheel rotating at 200 rpm accelerates at a constant rate to 500 rpm in 20 s.
Q1. What is the angular acceleration of the wheel?
Q2. How many rotations does the wheel experience in the first 20. s?
Rotational Mechanics for a Point Ob ject
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