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SDTK
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Homework Statement
A pendulum traveling at constant speed along a circular path
Determine the angle that the string makes with the vertical.
T[/B]he length of the string was measured to be 60 cm.
The period was measured to be 1.41 s
The frequency was found to be 0.709
2. Homework Equations
Is it possible to find the radius with only the Period T and frequency f?
3. The Attempt at a Solution
I believe that it should be possible to use the period and frequency to find the velocity, and from there the radius. Once I have the radius, I can find the angle.
Using:
v = 2(pi)r / T, v = 2 (pi)fr,
v = (2 x pi x radius)/period, v = 2 x pi x frequency x radius
a = v^2/r = (2(pi)f)^2r =(2(pi)/T)^2 r
a = velocity squared / radius = (2 x pi x frequency) squared x radius
= ((2 x pi) / T))squared x radius
I have tried solving for "r" and substituting the solution in order to find velocity, ... but I end up circling back the an equation with both the two unknown variables that I am trying to find, v and r.
with advanced thanks for any advise,
D.T.