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EXPERIMENT M0
(page 1)
Error Analysis
In this lab you will accomplish the following tasks:
Measure the period
of a simple pendulum 10 times
Calculate the average value
of the pendulum period
Calculate the standard deviation
of the pendulum period
Measure the elongation
of a spring as function of the mass
hanging from the end of the spring
Plot
versus
.
The points should fall on a straight line
From the slope of the line you will determine the spring constant
T
T
T
σ
x
m
x
k
m
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B
Va.
Measure the duration of 5 periods (full oscillations)
From that determine the period T ten times
12
1
0
...
Average value:
10
TT
T
T
++
+
=
()
22
2
1
0
The standard deviation measures the spread of the values of T
around the average value T.
It is give by the equation:
...
10 1
T
T
T
T
T
σ
−+
+−
=
−
1
T(s)
5T(s)
#
10
.
.
.
3
(page 2)
5T
ℓ
ℓ′
d
From the average value of
the
period
and the pendulum
length
ℓ
we can calculate the
acceleration of gravity g
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This lab report was uploaded on 04/08/2008 for the course PHY 158 taught by Professor Staff during the Spring '08 term at SUNY Buffalo.
 Spring '08
 Staff
 Physics, Power

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