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Flashcards on Rotational Dynamics
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What is rotational dynamics?
The study of the motion and forces associated with rotating objects.
What is torque?
The rotational equivalent of force.
What is the formula for torque?
Torque = Force x Distance
What is angular acceleration?
The rate at which an object's rotational velocity changes.
What is the formula for angular acceleration?
Angular Acceleration = (Change in Angular Velocity) / (Time)
What is moment of inertia?
A measure of an object's resistance to changes in its rotational motion.
What is the formula for moment of inertia of a point mass?
Moment of Inertia = Mass x (Radius of Rotation)^2
What is rotational equilibrium?
When the net torque acting on an object is zero.
What is the condition for rotational equilibrium?
The sum of the clockwise torques must equal the sum of the counterclockwise torques.
What is angular momentum?
A property of rotating objects that depends on both their moment of inertia and their rotational velocity.
What is the formula for angular momentum?
Angular Momentum = Moment of Inertia x Angular Velocity
What is conservation of angular momentum?
The total angular momentum of a system remains constant if no external torques act on it.
What is centripetal force?
The inward force required to keep an object moving in a circular path.
What is the formula for centripetal force?
Centripetal Force = (Mass x (Velocity)^2) / Radius
What is angular displacement?
The change in the angle through which an object rotates.
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Test Your Knowledge
What is torque?
Speed
Acceleration
Rotational equivalent of force
Energy
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What is angular momentum?
Property of rotating objects dependent on moment of inertia and rotational velocity
Mass of an object
Electric current
Change in the position
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What is centripetal force?
Force applied in the opposite direction of motion
Force applied tangentially to the motion
Inward force required to keep object moving in circular path
Force of gravity
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What is moment of inertia?
Measure of an object's resistance to changes in its rotational motion
Rate of change of velocity
Potential energy
Amount of matter in an object
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What is rotational equilibrium?
State of no angular velocity
State of rotating without any forces acting on it
Net torque acting on an object is zero
State of constant angular velocity
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What is the formula for torque?
Force x Time
Mass x Acceleration
Force x Distance
Mass x Velocity
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What is conservation of angular momentum?
Total angular momentum of a system remains constant if no external torques act on it
Angular momentum decreases with time
Angular momentum is always zero
Angular momentum depends on the speed of the object
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What is angular acceleration?
Rate of change of angular displacement
Rate of change of angular momentum
Rate of change of rotational velocity
Rate at which an object's rotational velocity changes
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What is the formula for moment of inertia of a point mass?
Mass x Acceleration
Force x Time
Mass x (Radius of Rotation)^2
Energy x Time
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What is angular displacement?
Change in the angle through which an object rotates
Change in the object's mass
Change in the object's volume
Change in the object's size
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