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Boundless Physics
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Chapter 9

Rotational Kinematics, Angular Momentum, and Energy

Book Version 3
By Boundless
Boundless Physics
Physics
by Boundless
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Section 1
Quantities of Rotational Kinematics
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Angular Position, Theta

The angle of rotation is a measurement of the amount (the angle) that a figure is rotated about a fixed point— often the center of a circle.

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Angular Velocity, Omega

Angular velocity ω is the rate of change of an angle, mathematically defined as ω = $\Delta \theta$$/\Delta t$ .

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Angular Acceleration, Alpha

Angular acceleration is the rate of change of angular velocity, expressed mathematically as $\alpha = \Delta \omega/\Delta t$ .

Section 2
Angular Acceleration
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Constant Angular Acceleration

Constant angular acceleration describes the relationships among angular velocity, angle of rotation, and time.

Section 3
Rotational Kinematics
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Rolling Without Slipping

The motion of rolling without slipping can be broken down into rotational and translational motion.

Section 4
Dynamics
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Rotational Inertia

Rotational inertia is the tendency of a rotating object to remain rotating unless a torque is applied to it.

Section 5
Rotational Kinetic Energy
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Rotational Kinetic Energy: Work, Energy, and Power

The rotational kinetic energy is the kinetic energy due to the rotation of an object and is part of its total kinetic energy.

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Moment of Inertia

The moment of inertia is a property of a mass that measures its resistance to rotational acceleration about one or more axes.

Section 6
Conservation of Angular Momentum
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Conservation of Angular Momentum

The law of conservation of angular momentum states that when no external torque acts on an object, no change of angular momentum will occur.

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Rotational Collisions

In a closed system, angular momentum is conserved in a similar fashion as linear momentum.

Section 7
Vector Nature of Rotational Kinematics
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Angular Quantities as Vectors

The direction of angular quantities, such as angular velocity and angular momentum, is determined by using the right hand rule.

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Gyroscopes

A gyroscope is a spinning wheel or disk in which the axle is free to assume any orientation.

Section 8
Problem Solving
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Problem-Solving Techniques

Identify the problem and solve the appropriate equation or equations for the quantity to be determined.

Section 9
Linear and Rotational Quantities
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Relationship Between Linear and Rotational Quantitues

The description of motion could be sometimes easier with angular quantities such as angular velocity, rotational inertia, torque, etc.

Section 10
Conservation of Energy
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Conservation of Energy in Rotational Motion

Energy is conserved in rotational motion just as in translational motion.

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Boundless Physics by Boundless
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Static Equilibrium, Elasticity, and Torque
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Chapter 9
Rotational Kinematics, Angular Momentum, and Energy
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  • Angular Acceleration
  • Rotational Kinematics
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