circular motion

ROTATIONAL MOTION ,[object Object],[object Object],[object Object]

ROTATIONAL QUANTITIES ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Practice Problem ,[object Object]

Tangential Speed ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Tangential Acceleration ,[object Object],[object Object],[object Object],[object Object]

Practice Problem ,[object Object],[object Object]

Centripetal Acceleration ,[object Object],[object Object],[object Object],[object Object],[object Object]

Total Acceleration ,[object Object],[object Object],[object Object],[object Object],[object Object],a total a c a t

Circular Motion ,[object Object],[object Object],[object Object],[object Object],animation by Behrooz Mostafavi

Vertical Circular motion Fw Fw Ft Ft V min occurs at the top V = square root of rg Ex: loop roller coaster

How do you feel… ,[object Object],[object Object],[object Object]

Centrifugal Force – not real

Centripetal Force – the real force

Horizontal Circular motion Tension force acts horizontal and is constant. If weight is small enough it can be ignored. Ex: polar express

Centrifugal Force the fake force

What will happen… ,[object Object]

What is required to cause the ball to have a curved path?

Centripetal Force ,[object Object],[object Object],[object Object],[object Object],[object Object]

It is sometimes said that water is removed from clothes in the spin cycle by centrifugal force throwing the water outward. Is this correct?

The smaller the velocity of the object, the less centripetal force you will have to apply. The smaller the length of rope (radius), the more centripetal force you will have to apply to the rope .

The smaller the mass, the smaller the centripetal force (shown by the red vector labeled as the force of tension in the rope, FT) you will have to apply to the rope.

If you let go of the rope (or the rope breaks) the object will no longer be kept in that circular path and it will be free to fly off on a tangent.

Newton’s Law of Gravitation ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Pictures and animations from ,[object Object],[object Object]

circular motion

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circular motion