Angular Acceleration
Angular Acceleration - Related Videos
01:11
Angular Velocity and Acceleration
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2025
We previously discussed angular velocity for uniform circular motion, however not all motion is uniform. Envision an ice skater spinning with their arms outstretched; when they pull their arms inward, their angular velocity increases. Additionally, think about a computer's hard disk slowing to a halt as the angular velocity decreases. The faster the change in angular velocity, the greater the angular acceleration. The instantaneous angular acceleration is defined as the derivative of angular...
01:37
Rotation with Constant Angular Acceleration - I
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2023
If angular acceleration is constant, then we can simplify equations of rotational kinematics, similar to the equations of linear kinematics. This simplified set of equations can be used to describe many applications in physics and engineering where the angular acceleration of a system is constant. Using our intuition, we can begin to see how rotational quantities such as angular displacement, angular velocity, angular acceleration, and time are related to one another. For example, if a flywheel...
01:16
Rotation with Constant Angular Acceleration - II
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2025
Kinematics is the description of motion. The kinematics of rotational motion discusses the relationships between rotation angle, angular velocity, angular acceleration, and time. One can describe many things with great precision using kinematics, but kinematics does not consider causes. For example, a large angular acceleration describes a very rapid change in angular velocity without any consideration of its cause. Thus, rotational kinematics does not represent the laws of nature. The first...
09:33
Angular Momentum
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2023
Source: Nicholas Timmons, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA Angular momentum is defined as the product of the moment of inertia and the angular velocity of the object. Like its linear analog, angular momentum is conserved, meaning that the total angular momentum of a system will not change if there are no external torques on the system. A torque is the rotational equivalent of a force. Because it is a...
08:00
Force and Acceleration
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2023
Source: Nicholas Timmons, Asantha Cooray, PhD, Department of Physics & Astronomy, School of Physical Sciences, University of California, Irvine, CA The goal of this experiment is to understand the components of force and their relation to motion through the use of Newton's second law by measuring the acceleration of a glider being acted upon by a force. Nearly every aspect of motion in everyday life can be described using Isaac Newton's three laws of motion. They describe how objects in...
FAQs
Net torque determines angular acceleration through τ = Iα, so α = τ/I for a rigid body rotating about a fixed axis. The net torque is the combined rotational effect acting on the body, while I describes its moment of inertia. This relationship lets physicists connect an applied rotational cause with the resulting change in motion.
Moment of inertia controls how strongly a body responds to a given torque. From τ = Iα, keeping torque constant means that increasing I produces a smaller angular acceleration, whereas decreasing I produces a larger one. Comparing these quantities helps explain why bodies with different moments of inertia can respond differently even when the same torque acts on them.
Angular acceleration does not necessarily mean only faster rotation. Because it can change rotational speed or direction, its effect depends on how the change relates to the object's current angular velocity. A change in the same rotational sense can increase speed, while a change in the opposite sense can reduce it or redirect the rotation. This distinction matters when interpreting rotational motion.
To determine angular acceleration for fixed-axis rotation, identify the net torque and the body's moment of inertia, then use τ = Iα and solve for α. If angular velocity is provided as a function of time, its rate of change can instead be found from α = dω/dt. These two forms support torque-based and motion-based analyses.
The unit radians per second squared identifies angular acceleration as a time-based change in angular velocity, not simply a measure of angular position. Reporting results this way gives rotational calculations a consistent scale for comparing how quickly different systems change their rotation. It is therefore useful when interpreting equations and engineering descriptions of rotational motion.
These systems rely on mechanisms that convert forces into controlled rotation, so their behavior depends on how rotational speed or direction changes over time. Applying angular-acceleration analysis helps connect torque-driven motion with the operation of the mechanism, making it relevant to both physics problems and engineered rotational systems such as gears, wheels, engines, and robotic devices.