I dont know how to graph these pendulum things

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SUMMARY

This discussion focuses on plotting graphs of frequency versus amplitude, mass, and length for pendulums in a physics homework assignment. The equation for length in relation to frequency is established as L = g/(4π²f²), where g is the acceleration due to gravity. The user successfully calculated lengths for various frequencies but struggled with deriving equations for amplitude and mass. The forum member provided practical advice on measuring frequency by timing pendulum swings at different amplitudes to gather data points for graphing.

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Homework Statement


with frequency as the dependent variable, plot graphs of frequency versus
(i)Amplitude, for a length of cm and a constant mass
(ii)mass, for a length of 100cm and constant amplitude
(iii)length, for a constant amplitude and constant mass.

Homework Equations



i think i got one for length but not for the others

(iii)L=g/(4π^2f^2)
(ii)?
(i)?

The Attempt at a Solution


(iii)
L=9.8/(4π^2(0.10)^2=24.8 cm
L=9.8/(4π^2(0.20)^2=6.2 cm
L=9.8/(4π^2(0.30)^2=2.7 cm
L=9.8/(4π^2(0.40)^2=1.55 cm
L=9.8/(4π^2(0.50)^2=0.99 cm

i did this from 0.10 Hz - 1 Hz
i took the answers and plotted them on the graph

(ii)??

(i)??
 
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Welcome to PF!

The question doesn't ask you to find any formulas, though you probably can find them from the graphs. For (i) you would have to swing your pendulum through a small amplitude, perhaps 1 cm, and time 20 or so swings to find the frequency. That's one point on your frequency vs amplitude graph. Repeat with a larger amplitude, say 2 cm, and see what the frequency is. You'll need at least 5 points to make a decent graph.
 

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