Physics
Circular and Rotational Motion
Forces
Kinematics
Energy
Oscillations and Gravitations
Momentum
Theta/Angle
Distance, Angular Position
Moment of Inertia-
a quantity expressing a body's tendency to resist angular acceleration. It is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.
Moment of Inertia of aPoint Mass- I=mr^2
Moment of Inertia for a Ring- I=mr^2
**Angular Acceleration
Alpaha
Moment of Inertia for a Disc- I=1/2mr^2
Moment of Inertia for a Sphere- I=2/3mr^2
Moment of Inertia for a Rod about the pivot point-I=1/2ml^2
Moment of Inertia for a Rod about the end-I=1/3ml^2
Equation- change in omega divided by the change in time
Measurement- Radians per seconds
Acceleration is the change in velocity of moving object with respect to time.
Angular acceleration shows the change in the angular velocity with time.
Omega-Angular Velocity
Angular Momentum-the quantity of rotation of a body, which is the product of its moment of inertia and its angular velocity.
Angular momentum is the product of an object's moment of inertia and its angular velocity.
Measurement- Units for angular momentum are kilogram metres squared per second (kg-m 2/sec).
The conservation of angular momentum explains the angular acceleration of an ice skater as she brings her arms and legs close to the vertical axis of rotation. By bringing part of mass of her body closer to the axis she decreases her body's moment of inertia.
Angular momentum is a physical quantity corresponding to the amount of rotational motion of an object.
Equation
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Torque is the tendency of a force to rotate an object. Just as a force is a push or a pull, a torque can be thought of as a twist to an object.
Torque Symbol
Measurement- The unit newton metre is properly denoted N⋅m or N m.
A practical way to calculate the magnitude of the torque is to first determine the lever arm and then multiply it times the applied force.