Physics 8: 1-3 Angular Motion and Acceleration
Text Reading: Giancoli, Physics - Principles with Applications, Chapter 8: 1-3
- 8.1: We can measure how far something rotates in degrees, rotations, or radians. 1 rotation = 360 degrees = 2π radians. Radian measurement allows us to easily compute the linear distance traveled by a point a distance r from the center of rotation. We can then calculate angular distance in radians, angular velocity in radians per time, and angular acceleration in radians per time2 and relate these directly to linear distance, velocity, and acceleration. The pertinent equations are given in the table below.
- 8.2: We can use the same calculations to derive angular equivalents for the four equations we have been using to describe the relationships between displacement, starting and final velocities, acceleration, and time.
- 8.3: We can now use the resulting equations to talk about the motion of objects that roll, rather than simply move in a circle. Just as we did with linear motion, we'll look first at kinematics and how angular displacement, velocity, and acceleration are related, then take up the application to rotational dynamics, or torque forces.
(from chapter 2)
|v = v0 + at
||ω = ω0 + αt
|x = v0t + ½at2
||θ = ω0t + ½αt2
|v2 = v02 + 2ax
||ω2 = ω02 + 2αθ
|vave = ½(v + v0)
||ωave = ½(ω + ω0)
Read the following weblecture before chat: Inertia, Acceleration, and Force
Use the physics simulation ==>HERE<==
to experiment with rotational motion concepts.
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