Copyright © 2018 John Wiley & Sons, Inc. and primarily advanced by Prof. A. Iskandar.
10-1 Rotational Variables (1 of 13) Link to heading
Learning Objectives
- 10.01 Identify that if all parts of a body rotate around a fixed axis locked together, the body is a rigid body.
- 10.02 Identify that the angular position of a rotating rigid body is the angle that an internal reference line makes with a fixed, external reference line.
- 10.03 Apply the relationship between angular displacement and the initial and final angular positions.
- 10.04 Apply the relationship between average angular velocity, angular displacement, and the time interval for that displacement.
10-1 Rotational Variables (2 of 13) Link to heading
- 10.05 Apply the relationship between average angular acceleration, change in angular velocity, and the time interval for that change.
- 10.06 Identify that counterclockwise motion is in the positive direction and clockwise motion is in the negative direction.
- 10.07 Given angular position as a function of time, calculate the instantaneous angular velocity at any particular time and the average angular velocity between any two particular times.
- 10.08 Given a graph of angular position versus time, determine the instantaneous angular velocity at a particular time and the average angular velocity between any two particular times.
10-1 Rotational Variables (3 of 13) Link to heading
- 10.09 Identify instantaneous angular speed as the magnitude of the instantaneous angular velocity.
- 10.10 Given angular velocity as a function of time, calculate the instantaneous angular acceleration at any particular time and the average angular acceleration between any two particular times.
- 10.11 Given a graph of angular velocity versus time, determine the instantaneous angular acceleration at any particular time and the average angular acceleration between any two particular times.
10-1 Rotational Variables (4 of 13) Link to heading
- 10.12 Calculate a body’s change in angular velocity by integrating its angular acceleration function with respect to time.
- 10.13 Calculate a body’s change in angular position by integrating its angular velocity function with respect to time.
10-2 Rotation with Constant Angular Acceleration (1 of 9) Link to heading
Learning Objectives
- 10.14 For constant angular acceleration, apply the relationships between angular position, angular displacement, angular velocity, angular acceleration, and elapsed time (Table 10-1).
10-3 Relating the Linear and Angular Variables (1 of 13) Link to heading
Learning Objectives
- 10.15 For a rigid body rotating about a fixed axis, relate the angular variables of the body (angular position, angular velocity, and angular acceleration) and the linear variables of a particle on the body (position, velocity, and acceleration) at any given radius.
- 10.16 Distinguish between tangential acceleration and radial acceleration and draw a vector for each in a sketch of a particle on a body rotating about an axis, for both an increase in angular speed and a decrease.
10-4 Kinetic Energy of Rotation (1 of 8) Link to heading
Learning Objectives
- 10.17 Find the rotational inertia of a particle about a point.
- 10.18 Find the total rotational inertia of many particles moving around the same fixed axis.
- 10.19 Calculate the rotational kinetic energy of a body in terms of its rotational inertia and its angular speed.
Summary (1 of 7) Link to heading
- Angular Position
- Angular Displacement
- Angular Velocity and Speed
- Angular Acceleration
- Kinematic Equations
- Linear and Angular Variables Related
- Rotational Kinetic Energy and Rotational Inertia
Copyright Link to heading
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