torque and motion

angular speed and velocity are not

the same thing

angular velocity is

a vector

vector attributes for angular speed

Angular Velocity

the rate at which the angle changes with respect to time

Angular velocity is the vector

Length of Omega is

the angular speed

linear velocity is the vector that

points along the tangent to the pathway and at a right angle to the radius

Angular speed and velocity thing

Average angular velocity

why is average angular velocity sometimes bad

because we have no info about what happens between angle 1 and 2

What is different when we have instantaneous angular velocity

if we take the angles so close together that they are infinitessimally close together then we lose no information

Instantaneous angular velocity

Linear and angular velocities are related to one another via

the radius

Angular acceleration is also the

vector which points along the axis of rotation according to right hand rule

whats wrong about average angular acceleration

we have no nfo about what happens btwn w1 - w2

Instantaneous angular acceleration

we take w1 and w2 close togehter enough that they are infitessimally close and lose no information

I is

the moment of inertia of the object (scalar)

• rotational intertia

• resistance that the object puts up to being angularly accelerated

ROTATIONA L INerTOA, radous of gyration