Question

can someone help me with this physics Lab Vibrating String Experiment I'm confused please and thank you

Vibrating String Experiment Objective To study the factors affecting the velocity of waves in a stretched string. Apparatus Linear transducer, function generator, string, meter stick, mass set, table clamp with pulley. Optional: strobe light.

I have This data for the Four-time I did the Experience

Answer 1

Part D.
given
hangign mass, m = 200 g
  
from the four runs the data is
Run 1 : l1 = 1.42 m,
Run 2 : l2 = 1.3 m,
Run 3 : l3 = 1.1 m
Run 4 : l4 = 0.9 m

Now, 1/mu is 1/l
so we plot f vs (1/mu) (f on y axis and 1/mu on x axis)
the data table is

1/mu	f
0.704225	70
0.769231	80
0.909091	90
1.111111	100

the plot is under

f y = 69.948x + 23.906 R2 = 0.9517 120 100 80 60 40 20 0 0 0.2 0.4 0.6 0.8 1 1.2

From the plot, slope is 69.948
now, speed of wave on a string is
c = sqrt(T/mu)
T = 200g * 9.81 m/s/s * 0.001 kg/g
T = 1.962 N
mu = 0.44 g / m
so,
c = 66.77642480 m/s

% error in theoretical and experimental value is
(69.948 - 66.776)*100/66.776 = 4.75020965616389121 %