ANGULAR VELOCITY AND ACCELERATION | 6.1

θ

Use **** as coordinate for rotation

positive

Specify sense of DIRECTION | CCW

negative

Specify sense of DIRECTION | CW

radians

We measure angle by

angular position formula

1 radian = how much degree (conversion)

360 degree or 1 revolution 

180 degree

90 degree

Angular Displacement Formula 

Angular Velocity

Rate of change of radian or angle

rad/s or rev/minute

Angular Velocity Formula and SI Unit 

CCW Rotation Positive

CW Rotation Negative

Positive angular velocity

Rotates in direction of INCREASING theta/angle

Negative angular velocity

Rotates in direction of DECREASING theta/angle

angular Velocity Conversion rev to rad

Angular Acceleration

Change in the angular velocity of a rigid body in time

rad/s²

Angular Acceleration Formula and SI UNIT

speeding up

a is same direction as w:

slowing down

a is opposite direction as w:

Rotation with Constant Angular Acceleration ALL FORMULAS

Relationship between linear and angular speed

Tangential acceleration, atan formula 

Radial acceleration, arad formula

Magnitude of linear acceleration formula

NOT

For rolling without slipping, the acceleration does **** depend on the mass or radius for a given shape.