angular motion. linear to angular conversions x where x = arc length Θ is the angle r is the radius...

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Angular Motion

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Page 1: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)

Angular Motion

Page 2: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)

Linear to Angular conversions

Page 3: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)

x

Where x = arc length

Θis the angle

r is the radius of the circle

Linear to angular

(Θis in radians)

To get into degrees:

Page 4: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)

Conversion Degrees & Radian

Page 5: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)

1 Revolution = 2π(rad) = 360 deg

Page 6: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)

Right Hand rule

To figure out the actual acceleration of an object you place your and in the same way of the rotation (cuffing your fingers).The way in which your thumb points outward is the angle in which the object is accelerating.

Page 7: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)

Dot and Cross Products

c

Cross products ARE NOT commutative

Page 8: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)

Inertia

Page 9: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)

Parallel Axis Theorem

General Format:

Where is

**from last slide

Page 10: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)
Page 11: Angular Motion. Linear to Angular conversions x Where x = arc length Θ is the angle r is the radius of the circle Linear to angular ( Θ is in radians)