30 terms

Dot Product

When the product of two vectors is a scaler

Cross Product

When the product of two vectors is another vector

Cross Product Magnitude

Vector A x B x sin(angle between A and B)

This is equal to the area of the formed parallelogram. The direction is perpendicular to the A and B Vectors

This is equal to the area of the formed parallelogram. The direction is perpendicular to the A and B Vectors

Right Hand Cross Product Rule

Fingers point in the plane of A and B. The thumb determines the direction of the resultant vector.

Torque

A vector perpendicular to the position and force vectors.

T = r x F

T = r x F

Positive Angular Displacement

Occurs when rotational motion is counterclockwise.

Negative Angular Displacement

Occurs when rotational motion is clockwise.

Theta of Angular Motion

= Arc Length/Radius = s/r

Angular Displacement

The angle through which the object rotates.

Average Angular Velocity

= Angular displacement/Elapsed Time

Instantaneous Angular Velocity

The limit as t goes to 0 of Average Angular Velocity.

Average Angular Acceleration

Change in Angular Velocity/Elapsed Time

Instantaneous Angular Acceleration

Is the limit as change in t goes to 0 of Average Angular Acceleration.

Positive Angular Acceleration

Occurs when an object is rotating counterclockwise and speeding up, or when rotating clockwise and slowing down.

Negative Angular Acceleration

Occurs when an object is rotating clockwise and speeding up, or when a rotating counterclockwise and slowing down.

Right Hand Rule of Angular Velocity

Wrap fingers around axis of rotation with the fingers pointing in the direction of rotation. The extended thumb gives the direction of angular acceleration and velocity.

Single Point on Rotation

Each point on an object that is rotating has it's own angular velocity and linear velocity.

v = R x w. Points farther from the axis have higher linear velocity.

v = R x w. Points farther from the axis have higher linear velocity.

Tangential Acceleration

Occurs when the angular velocity of a rotating object changes.

Centripetal Acceleration

Occurs when the the angular velocity is constant.

Frequency

The number of complete revolutions per second. Is measured in Hz.

f = Angular Velocity/2pi

f = Angular Velocity/2pi

Period

The time it takes for one full revolution

p = 1/f

p = 1/f

Moment of Inertia Equation

p (Inertia Moment)

Volumetric Mass Density.

Mass/Volume Unit

Mass/Volume Unit

o (Inertia Moment)

Surface Mass Density.

Mass/Area= pt

Mass/Area= pt

Newton's First Law

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Newton's Second Law

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Newton's Third Law

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Moment of Inertia Equation

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Moment of Inertia Equation

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Frequency

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