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Centripetal Force

Law of Action in Circles

- Motion in a circle has a centripetal

acceleration. - For every acceleration there is a net force.
- There must be a centripetal force.
- Points to the center of the circle
- Magnitude is ma mv2/r
- The centrifugal force that we describe is just

inertia. - It points in the opposite direction to the

outside - It isnt a real force

Conical Pendulum

- A 200. g mass hung is from a 50. cm string as a

conical pendulum. The period of the pendulum in a

perfect circle is 1.4 s. What is the angle of the

pendulum? What is the tension on the string?

q

FT

Radial Net Force

- The mass has a downward gravitational force, -mg.
- There is tension in the string.
- The vertical component must cancel gravity
- FTy mg
- FT mg / cos q
- FTr mg sin q / cos q mg tan q
- This is the net radial force the centripetal

force.

q

FT cos q

FT

FT sin q

mg

Acceleration to Velocity

- The acceleration and velocity on a circular path

are related.

q

FT

r

mg tan q

mg

Period of Revolution

- The pendulum period is related to the speed and

radius.

q

L

FT

r

mg tan q

cos q 0.973 q 13

Radial Tension

- The tension on the string can be found using the

angle and mass. - FT mg / cos q 2.0 N
- If the tension is too high the string will break!

next

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