I dont know how to graph these pendulum things

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    Graph Pendulum
AI Thread Summary
To graph the frequency of a pendulum, the discussion focuses on three scenarios: frequency versus amplitude, mass, and length. For frequency versus length, calculations using the formula L = g/(4π²f²) were provided, yielding specific lengths for different frequencies. The user is advised to experimentally determine frequency for varying amplitudes by timing multiple swings to gather sufficient data points for the graph. The importance of collecting at least five data points for accuracy in the amplitude graph is emphasized. Overall, the thread highlights the need for experimental data to complete the graphs for all three scenarios.
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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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