What Does Each Variable Represent in the Cavendish Experiment Equation?

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SUMMARY

The discussion focuses on the variables in the equation for the gravitational constant G as derived from the Cavendish experiment. The equation is defined as G = w^2 * r^2 * d(Φ1 - Φ2) / 2M(1 + d/r(Φ1 - Φ2), where w represents angular frequency, r is the radius, d is the distance of the short wire with the small orbs, M is the mass of the orbs, and Φ1 and Φ2 are the angles measured. The experiment utilized a torsion balance setup with two large and two small orbs, and the oscillation was measured using a laser and lens system.

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  • Knowledge of angular frequency (ω) and its applications
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Alec
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Homework Statement


I'm writing a report about the gravitational constant G.
I have trouble figuering out what all the variables mean means.
G = w^2 * r^2 * d(Φ1 - Φ2) / 2M(1 + d/r(Φ1 - Φ2))

The experiment was executed in Cavendish torsion balance.
Two wires which held 2 large orbs, and 2 small orbs, had an laser with a lens attached. Since all masses attract, oscillation the oscillation was shown on a screen.
Then you could measure the movement and the change in angles.

Homework Equations


G = w^2 * r^2 * d(Φ1 - Φ2) / 2M(1 + d/r(Φ1 - Φ2))

Angle = arctan(W all)/D))/2
Divide by two because of the lens.

Y1=Φ1 + A *sin(wt +d1)
Y2=Φ2 + A *sin(wt+d2)

The Attempt at a Solution


I believe W is the frequency, d is the distance of the short wire with the two small orbs, M is the mass of both? orbs, Φ1 & Φ2 are the angles and r is the radius.

If you guys could verify this and please correct me if I'm wrong.
If anything is unclear please say so, since I'm not too good at english.
Thank you!
 
Last edited:
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I note that the "w" is probably "omega" (an ANGULAR frequency).
 

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