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Experiment 6
Centripetal Force
Objective
To verify that centripetal force is equal to
m
v
2
r
while using curve ﬁtting to determine the
value of a free parameter that aﬀects our measurement in a systematic way.
Theory
The magnitude of centripetal force on an object moving with speed
v
in circular motion with
radius
r
is given by
F
c
=
m
v
2
r
This is frequently written in terms of the
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Unformatted text preview: angular velocity , ω of the object, rather than its linear velocity. From the deﬁnition of an angle θ measured in radians, θ = s r in terms of the arc length s that it traces out at a distance of r we can take the time derivative of both sides to get the magnitude of the angular velocity ω ≡ dθ/dt so that ω = dθ dt = ds/dt r 39...
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This note was uploaded on 01/27/2012 for the course PHY 2048l taught by Professor Staff during the Fall '08 term at University of Central Florida.
 Fall '08
 Staff
 Physics, Force

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