Question

You take 5 values of the period of a pendulum in ms, to be 260, 260, 260, 257 and256.

What value would you report to be your uncertainty? (In the equation σ is the standard deviation)

Answer #1

a) If you take a simple pendulum to moon and Venus, how its time
period will be affected if its length is 80 cm?
b) If you decrease the length of the pendulum to half of the
original and increase mass to double of original, what will happen
to its period on Earth?
c) If an oscillating spring system is taken to the moon, what
will happen to its periods?
d) If the length of the spring is doubled, what...

Suppose that there is a simulation that shows the period and
amplitude change of a pendulum with air resistance included The
amount of "friction can control the resistance". It is anticipated
that the period decreases.
a) How would you determine if the percent loss of the time
period is constant
b )Which of the models could be potentially used to develop a
Differential Equation for the period change
c) What would be the independent variable of the model?

Simple Pendulum
Please write your answers on a color of your
choice.
Purpose To determine the value of the
gravitational acceleration by using a simple pendulum.
Lab goals
To be able to perform an experiment independently.
To be able to take measurements, obtain results, and interpret
them correctly.
To be able to estimate the accuracy of experimental results.
Equipment
A small object with a hole such as a bead or nut, and a long
string
A measuring tape...

A population of values has a normal distribution with μ=159.6
and σ=75.4 You intend to draw a random sample of size n=125
What is the mean of the distribution of sample means?
μ¯x=
What is the standard deviation of the distribution of sample means
(i.e. the standard error)?
(Report answer accurate to 2 decimal places.)
σ¯x=

To what percentage accuracy would you have to measure the period
of a pendulum of known length to measure any difference between
Earth’s gravity at sea level and at the top of Mount Everest (about
29,000 ft above sea level). [Percentage accuracy can be calculated
as ∆T /T ∗ 100%]

A population of values has a normal distribution with μ=220 and
σ=3.1. You intend to draw a random sample of size n=114.
What is the mean of the distribution of sample means?
μ¯x=
What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=

5. You have 1) a block on a horizontal spring on a
frictionless surface, and 2) a pendulum oscillating without
friction. Both have the same period. Now if we take these to the
Moon, where gravity is 1/6 that of Earth's, what will change?
Choose all that apply.
For the spring:
a) The period of the spring will shorten.
b) The period of the spring will stay the same. c) The period
of the spring will increase.
For the pendulum:...

LAB 4 – PENDULUM
Objective: The overall objective of the lab is to investigate
the period of oscillation of a pendulum which all depends on its
mass, length, amplitude.
Table 1 Dependence of Period on Mass for a Fixed Length
and Amplitude
Trial
Mass, m
(kg)
Period, T
(s)
1
0.20
2.46
2
0.40
2.46
3
0.60
2.46
4
0.80
2.46
5
1.00
2.46
6
1.50
2.46
Length = 1.5
m Amplitude
= 150
Table 2 Dependence of Period on Length...

A population of values has a normal distribution with μ=169μ=169
and σ=84.7σ=84.7. You intend to draw a random sample of size
n=157n=157.
What is the mean of the distribution of sample means?
μ¯x=μx¯=
What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=

A population of values has a normal distribution with
μ=190.1μ=190.1 and σ=91.6σ=91.6. You intend to draw a random sample
of size n=151n=151.
a) What is the mean of the distribution of sample means?
μ¯x=μx¯=
b) What is the standard deviation of the distribution of sample
means?
(Report answer accurate to 2 decimal places.)
σ¯x=σx¯=

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