Calculate the experimental value of the frequency f for each hanging mass and the corresponding uncertainty, Sf. Compare these values to the known oscillator frequency values.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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DATA TABLE
Calculate the experimental value of the frequency f for each hanging mass and the
corresponding uncertainty, 8f. Compare these values to the known oscillator frequency values.
Uncertainty % error
Length Number Oscillator Experimental
L
frequency
Sf
fth-fexp
(m)
fth (Hz)
fth
x 100
Added Tension
mass
in string
m
T= mg
(kg)
(N)
0.100
0.100
0.100
0.150
0.150
0.150
0.200
0.200
0.200
0.98
0,116
0.48 0.450
७.१४
0,527
1.96 0.293
1.96 0.430
of loops
N
3
378.2
·1,47 0.294
57,7
1.41 0.437 2 28.3
1,47 0.50 3
1
1
Sample calculations:
A
г
|
42,0
162.8
2
100.1
68.3
43,6
4.96 0.505 3 116.1
Frequency
fexp (Hz)
f=
NT
21μ
Transcribed Image Text:DATA TABLE Calculate the experimental value of the frequency f for each hanging mass and the corresponding uncertainty, 8f. Compare these values to the known oscillator frequency values. Uncertainty % error Length Number Oscillator Experimental L frequency Sf fth-fexp (m) fth (Hz) fth x 100 Added Tension mass in string m T= mg (kg) (N) 0.100 0.100 0.100 0.150 0.150 0.150 0.200 0.200 0.200 0.98 0,116 0.48 0.450 ७.१४ 0,527 1.96 0.293 1.96 0.430 of loops N 3 378.2 ·1,47 0.294 57,7 1.41 0.437 2 28.3 1,47 0.50 3 1 1 Sample calculations: A г | 42,0 162.8 2 100.1 68.3 43,6 4.96 0.505 3 116.1 Frequency fexp (Hz) f= NT 21μ
fed mounted puncy
PROCEDURE
a) Record the mass per unit length of the string, u and its uncertainty, Sμ.
b) Set up the experiment (Fig 2) with a total of 100 grams hanging from the end of the string.
c)
Turn on the oscillator. Move the oscillator assembly toward or away from the pulley
until at least three loops are observed and the amplitude of the oscillation is at a max.
d) Use the meter stick to measure the distance L from the first node away from the
oscillator to the first node away from the pulley. (The loops at the two ends of the string
are not included because the end attached to the oscillator is not a node due to the
vibration, and the position of the node at the pulley end cannot be determined
accurately due to the curvature of the pulley.) Record the number of loops, N in the
distance L, and record L and the uncertainty 8L. This uncertainty should reflect the fact
that the positions of the nodes are difficult to observe.
e) Change the frequency using the dial until another standing wave (with a different N) is
achieved. Record the values. Change the frequency again and find a new N.
f) Change the mass hanging from the end of the string to 150 grams and repeat parts d and
e. Change to 200 grams and repeat parts d and e.
DATA and CLACULATIONS
Mass density of string = μ
0.001258
SL SM
+==
Uncertainty in μ = δμ = μ
Uncertainty in L = 8L =
0.001 m
Uncertainty in the mass attached = 8m = ±0.2grams
Uncertainty in the oscillator frequency = 8f=
L
kg/m
M
meter Such
- 0.0019ст
3-4
01 HZ
r
L
Transcribed Image Text:fed mounted puncy PROCEDURE a) Record the mass per unit length of the string, u and its uncertainty, Sμ. b) Set up the experiment (Fig 2) with a total of 100 grams hanging from the end of the string. c) Turn on the oscillator. Move the oscillator assembly toward or away from the pulley until at least three loops are observed and the amplitude of the oscillation is at a max. d) Use the meter stick to measure the distance L from the first node away from the oscillator to the first node away from the pulley. (The loops at the two ends of the string are not included because the end attached to the oscillator is not a node due to the vibration, and the position of the node at the pulley end cannot be determined accurately due to the curvature of the pulley.) Record the number of loops, N in the distance L, and record L and the uncertainty 8L. This uncertainty should reflect the fact that the positions of the nodes are difficult to observe. e) Change the frequency using the dial until another standing wave (with a different N) is achieved. Record the values. Change the frequency again and find a new N. f) Change the mass hanging from the end of the string to 150 grams and repeat parts d and e. Change to 200 grams and repeat parts d and e. DATA and CLACULATIONS Mass density of string = μ 0.001258 SL SM +== Uncertainty in μ = δμ = μ Uncertainty in L = 8L = 0.001 m Uncertainty in the mass attached = 8m = ±0.2grams Uncertainty in the oscillator frequency = 8f= L kg/m M meter Such - 0.0019ст 3-4 01 HZ r L
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