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Rotational or angular speed (velocity): Linear speed traveling along a circular path
Tangential Speed
At the axis, the tangential speed is …
None, there is only rotation
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)
Rotational Inertia
Based on mass and distance (of mass) from the axis of rotation
Torque
Torque = force × lever arm distance
Torque formula
T = FsinΘ × r
You get less torque at anything other than
90°
A longer arm produces …. Torque
Greater torque
Problem with longer arm: added mass increases
Rotational inertia
Trebuchet provides added length without a huge increase in mass, how?
With the sling
Center of mass (COM) / Center of gravity (COG)
Balance point
The balance point of COM / COG is the point at which
The point an objects rotates around
Stability: for an object to be stable…
You want a low center of mass and a wide base of support
Centripetal force
The actual force that causes you to follow a circular path
Centrifugal Force
What you feel (own inertia)
If there was no force (centripetal), the object would …
Take off in a straight line (due to inertia)
Again, what’s the result of centrifugal force?
The result of your own inertia
Stimulated Gravity
You can do so..
Formula for Centripetal Force
F© = mv² / r
Angular momentum (L)
Mass × velocity × radius = mvr
Conservation of Angular Momentum
Just like linear momentum, momentum before has to be equal to momentum after for this
Rotational Inertia formula (I)
Mass × radius
Rotational velocity (w)
Velocity
Law of Conservation of Angular Momentum (ex
lw(before) = lw(after) (cat falling