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Physics (Circular and Rotational Motion (Moment of Inertia- a quantity…
Physics
Circular and Rotational Motion
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 a
Point Mass
- I=mr^2
Moment of Inertia for a
Ring
- I=mr^2
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
**Angular
Acceleration
Alpaha
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
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.
Forces
Kinematics
Energy
Oscillations and Gravitations
Momentum
