Rotational Motion

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24 Terms

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Rotational or angular speed (velocity): Linear speed traveling along a circular path

Tangential Speed

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At the axis, the tangential speed is …

None, there is only rotation

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As the distance from the axis of rotation increases, the tangential speed increases, because…

You cover a greater distance in the same amount of time (but rotational speed is the same)

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Rotational Inertia

Based on mass and distance (of mass) from the axis of rotation

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Torque

Torque = force × lever arm distance

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Torque formula

T = FsinΘ × r

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You get less torque at anything other than

90°

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A longer arm produces …. Torque

Greater torque

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Problem with longer arm: added mass increases

Rotational inertia

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Trebuchet provides added length without a huge increase in mass, how?

With the sling

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Center of mass (COM) / Center of gravity (COG)

Balance point

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The balance point of COM / COG is the point at which

The point an objects rotates around

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Stability: for an object to be stable…

You want a low center of mass and a wide base of support

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Centripetal force

The actual force that causes you to follow a circular path

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Centrifugal Force

What you feel (own inertia)

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If there was no force (centripetal), the object would …

Take off in a straight line (due to inertia)

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Again, what’s the result of centrifugal force?

The result of your own inertia

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Stimulated Gravity

You can do so..

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Formula for Centripetal Force

F© = mv² / r

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Angular momentum (L)

Mass × velocity × radius = mvr

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Conservation of Angular Momentum

Just like linear momentum, momentum before has to be equal to momentum after for this

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Rotational Inertia formula (I)

Mass × radius

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Rotational velocity (w)

Velocity

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Law of Conservation of Angular Momentum (ex

lw(before) = lw(after) (cat falling