Simple Pendulum, Week 7, Lab 7
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Apr 3, 2024
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1 Title of the Experiment: Simple Pendulum Student’s name: Naeim Naeimi Section SLN: PHY122-76056 TA’s Name: Jude Pereira, Yash Patil
, Ayush Kumar Singh
Week of the experiment: Week 7, Lab 7
2 Objectives: In this lab we are learning about Simple Pendulum. This experiment teaches us about simple harmonics and how oscillations vary with different factors (length, amplitude, gravity, and mass) Experimental Data: PART 1. Period T vs Amplitude θ Diameter of the bob: 20cm Density of the bob: 8470 kg/m
3 Amplitude (°) Total Time (10 swings, s) Period (s) 5 28.31 2.831 10 28.32 2.832 15 28.38 2.838 20 28.58 2.858 25 28.56 2.856 Relationship observed: As θ increases, period
“stays the same.” Fig. 1
3 PART 2. Period T vs Mass Bob Material Bob Mass Total Time (10 swings, s) Period (s) Wood 2.304 kg 28.37 2.837 Glass 10.891 kg 28.31 2.831 Iron 32.924 kg 28.31 2.831 Brass 35.479 kg 28.32 2.832 Gold 80.844 kg 28.38 2.838 Relationship observed: As m increases, period “stays the same.” Fig. 2
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Related Questions
Not 81930449@students.liu.edu.lb? Switch account
15 MCQS
In an oscillatory motion of a simple pendulum, the ratio of the maximum angular
acceleration, e"max, to the maximum angular velocity, O'max, is t s^(-1). What is
the time needed for the pendulum to complete two oscillations?
0.5 sec
1 sec
O 4 sec
2 sec
0.25 sec
arrow_forward
During a simple pendulum laboratory whose length was varying its value in centimeters and with an angle of approximately 10 degrees, the following information was obtained about its period of oscillation:
Using the information provided and using a graphical model determine and / or perform:
c) The experimental value of the gravitational constant.
d) If the period of oscillation is P-269s, what is the value of the length of the chord?
arrow_forward
5A
=
Material point of mass m moves under the influence of force F-kr = –krî
With in other words, the mass m is at the tip of an isotropic harmonic oscillator with
equilibrium position at the origin of the axes.
a) Calculate the potential energy V(r) of m.
b) To design qualitatively
1) the potential energy V(r) of the mass m,
2) its "centrifugal" dynamic energy (r) = 1² /2mr² where L is the measure of
angular momentum of the mass m and r its distance from the origin of the axes, and
3) the active potential energy of U(r) = V (r)+ Vä(r).
"
arrow_forward
Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L.Randomized Variables
L = 1.3 m
a) Find the period T of the left pendulum for small displacements in s.
b) Find the period T of the right pendulum for small displacements in s.
arrow_forward
Question 13
An experiment is performed to obtain the value of a physical property. If the true
(i.e., correct) value of the property is 50 and the measured (i.e., experimental) value is
33, the percent error of the experimental result is:
Your Answer:
Answer
Question 14
In a pendulum experiment, the pendulum moves from one side to the other side in
0.8 second. Calculate the period of the pendulum.
Your Answer:
Answer
Question 15
Convert a surface area of 6.7 km^2 to m^2.
Your Answer:
Answer
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Question 14
In a pendulum experiment, the pendulum moves from one side to the other side in
0.8 second. Calculate the period of the pendulum.
Your Answer:
Answer
Question 15
Convert a surface area of 6.7 km^2 to m^2.
Your Answer:
Answer
arrow_forward
Lab #5: Pendulum Lab
Purpose: To determine the effect of the Length of a
pendulum upon the period of its back-and-forth
vibrations.
What are the independent and dependent variables in this
experiment?
arrow_forward
me to Kaukauna Area Sch
A wOW#2 BMI Quiz
A Chapter 13 Test
b classroom.google.com/c/MjkzMzMONj15NTIw/a/MzExMzY50Dg4Mzcy/details
2) Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum
A is twice as heavy as pendulum B. What is the peri od of pendulum B?
A) TN2
B)
C) IN2
T
D) 2T
E) T/2
arrow_forward
9:50 1
ll LTE 4
A on.masteringphysics.com C A
arrow_forward
1. What would be the period of the pendulum if it is on the moon, where the acceleration due to gravity is one-sixth that on earth? 2. An airplane performs a loop-the-loop maintaining a constant speed of 180 mi/hr. (a.) What is the maximum radius of the loop? (b.) If the pilot weighs 150 lb, what will his apparent weight be at the bottom of the loop?
3. According to Rutherford and Bohr, what kind of force is necessary to keep atomic electrons in orbit and what provides this force?
4.Why is it more difficult to charge an object by rubbing on a humid day than on a dry day?
5. A battery having a voltage of 3.00 V is connected through a rheostat to a uniform wire 100 cm long. The wire has a resistance of the rheostat be in order that the voltage per millimeter of the wire shall be exactly 1 mV?
6. The sides of a right triangle are BC=3, AC=4, and AB=5 cm. if +10 statC charges are placed at the corners B and C, what is the magnitude and direction of the electric intensity at A?
arrow_forward
The phase space trajectory of an undamped oscillator is shown below. In the diagram, eachdivision along the position axis corresponds to 0.1 m; along the velocity axis, 0.10 m/s.
What is the angular frequency ?Aof the undamped oscillator? Explain how you can tell.
arrow_forward
A simple harmonic oscillator (SHO) with a mass of 47 kg has a total energy of 3394 J. Determine how fast the SHO is moving when its potential energy is 3 times its kinetic energy. Express your answer using appropriate mks units.
v=
arrow_forward
SP-1 The equation for the period of a simple pendulum is T = 2n
%3D
a) Find the length L of a simple pendulum that will have a period of 2.00s on the earth's surface.
b) If the pendulum from part a) is taken to the noon where g-1.67m/s, what will the period be?
PP-4 A round object of mass m-2.00kg and radius 0.200m that
99+
hp
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what if instead of timing one oscillation you let the pendulum swing for a total of 10 oscillations then divide that time by 10 oscillations. how do you think this would affect your period measurements?
Physics: what if now instead of 10 oscillations you let the pendulum swing for a total of 1000 oscillations then divided that time by 1000 oscillations. how do you think this would affect your period measurements?
arrow_forward
Macmillan Learning
A simple pendulum oscillates between +4.0° (as measured from the vertical) on the surface of Earth. The length of the
pendulum is 0.30 m. Define full as the amount of time that the pendulum takes to move from 4.0° to -4.0°, and define thalf as the
amount of time that the pendulum takes to move from 2.0° to -2.0° during the same swing.
tfull
Compare the two times by determining the ratio
thalf
tfull
=
thalf
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Trial
Applied Force (N)
Displacement (m)
1
75N
.375m
80N
.400m
3
85N
.425m
4
90N
.450m
95N
.475m
CALCULATIONS:
1. Plot a graph of applied force vs. displacement, then use best-fit trendline and
discuss the shape of it. What does it tell us about the motion of the oscillating
object?
2. Calculate the slope of the line Recalling the Hook's Law, what does the slope
of our graph represent? Can you find the experimental value of kexR from your
graph?
arrow_forward
Ex. 8: A simple pendulum is used in physics
laboratory experimental to obtain experimental
value of gravitational acceleration (g).
student measures the length of pendulum 0.51
m, displaces it 10° from equilibrium position
and released it, using a stopwatch, the student
determine that period of pendulum is 1.44 s.
experimental
A
Determine
the
value
of
gravitational acceleration.
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12
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H.W: Calculate the period of the following sequence
1) 3 sin(0.05tn)
2) 5 sin(0.6tn)
ME ST E
图
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e/kaid_1147780237024965502327809/assignments/teacher/kaid 30123493708244502144909/class/63009625062277
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L(t)
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Do 4 problems Oo o o
99+
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A pendulum has a string of length 0.51 meters supporting it. Beside it is a mass connected to a
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Using either Graphical Analysis or graph paper, plot a graph of pendulum period vs. amplitude in degrees. Scale each axis from the origin (0,0). Does the period depend on amplitude? Explain.
Using either Graphical Analysis or graph paper, plot a graph of pendulum period T vs. lengthl. Scale each axis from the origin (0,0). Does the period appear to depend on length?
Using either Graphical Analysis or graph paper, plot the pendulum period vs. mass. Scale each axis from the origin (0,0). Does the period appear to depend on mass? Do you have enough data to answer conclusively?
To examine more carefully how the period T depends on the pendulum length l, create the following two additional graphs of the same data: T 2 vs. l and T vs. l2 . Of the three period-length graphs, which is closest to a direct proportion; that is, which plot is most nearly a straight line…
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1) Find the angular frequency, period, amplitude, and midline of the following sine function. Then write a possible
formula, f(t), for the graph.
Th
Angular Frequency:
Period:
Amplitude:
1 2
-1
-7 -6 -5-4 -A
-2 -1
Midline:
-2
-3-
-4
Formula:
-5
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- Not 81930449@students.liu.edu.lb? Switch account 15 MCQS In an oscillatory motion of a simple pendulum, the ratio of the maximum angular acceleration, e"max, to the maximum angular velocity, O'max, is t s^(-1). What is the time needed for the pendulum to complete two oscillations? 0.5 sec 1 sec O 4 sec 2 sec 0.25 secarrow_forwardDuring a simple pendulum laboratory whose length was varying its value in centimeters and with an angle of approximately 10 degrees, the following information was obtained about its period of oscillation: Using the information provided and using a graphical model determine and / or perform: c) The experimental value of the gravitational constant. d) If the period of oscillation is P-269s, what is the value of the length of the chord?arrow_forward5A = Material point of mass m moves under the influence of force F-kr = –krî With in other words, the mass m is at the tip of an isotropic harmonic oscillator with equilibrium position at the origin of the axes. a) Calculate the potential energy V(r) of m. b) To design qualitatively 1) the potential energy V(r) of the mass m, 2) its "centrifugal" dynamic energy (r) = 1² /2mr² where L is the measure of angular momentum of the mass m and r its distance from the origin of the axes, and 3) the active potential energy of U(r) = V (r)+ Vä(r). "arrow_forward
- Two pendula are shown in the figure. Each consists of a solid ball with uniform density and has a mass M. They are each suspended from the ceiling with massless rod as shown in the figure. The ball on the left pendulum is very small. The ball of the right pendulum has radius 1/2 L.Randomized Variables L = 1.3 m a) Find the period T of the left pendulum for small displacements in s. b) Find the period T of the right pendulum for small displacements in s.arrow_forwardQuestion 13 An experiment is performed to obtain the value of a physical property. If the true (i.e., correct) value of the property is 50 and the measured (i.e., experimental) value is 33, the percent error of the experimental result is: Your Answer: Answer Question 14 In a pendulum experiment, the pendulum moves from one side to the other side in 0.8 second. Calculate the period of the pendulum. Your Answer: Answer Question 15 Convert a surface area of 6.7 km^2 to m^2. Your Answer: Answerarrow_forwardQuestion 14 In a pendulum experiment, the pendulum moves from one side to the other side in 0.8 second. Calculate the period of the pendulum. Your Answer: Answer Question 15 Convert a surface area of 6.7 km^2 to m^2. Your Answer: Answerarrow_forward
- Lab #5: Pendulum Lab Purpose: To determine the effect of the Length of a pendulum upon the period of its back-and-forth vibrations. What are the independent and dependent variables in this experiment?arrow_forwardme to Kaukauna Area Sch A wOW#2 BMI Quiz A Chapter 13 Test b classroom.google.com/c/MjkzMzMONj15NTIw/a/MzExMzY50Dg4Mzcy/details 2) Two simple pendulums, A and B, are each 3.0 m long, and the period of pendulum A is T. Pendulum A is twice as heavy as pendulum B. What is the peri od of pendulum B? A) TN2 B) C) IN2 T D) 2T E) T/2arrow_forward9:50 1 ll LTE 4 A on.masteringphysics.com C Aarrow_forward
- 1. What would be the period of the pendulum if it is on the moon, where the acceleration due to gravity is one-sixth that on earth? 2. An airplane performs a loop-the-loop maintaining a constant speed of 180 mi/hr. (a.) What is the maximum radius of the loop? (b.) If the pilot weighs 150 lb, what will his apparent weight be at the bottom of the loop? 3. According to Rutherford and Bohr, what kind of force is necessary to keep atomic electrons in orbit and what provides this force? 4.Why is it more difficult to charge an object by rubbing on a humid day than on a dry day? 5. A battery having a voltage of 3.00 V is connected through a rheostat to a uniform wire 100 cm long. The wire has a resistance of the rheostat be in order that the voltage per millimeter of the wire shall be exactly 1 mV? 6. The sides of a right triangle are BC=3, AC=4, and AB=5 cm. if +10 statC charges are placed at the corners B and C, what is the magnitude and direction of the electric intensity at A?arrow_forwardThe phase space trajectory of an undamped oscillator is shown below. In the diagram, eachdivision along the position axis corresponds to 0.1 m; along the velocity axis, 0.10 m/s. What is the angular frequency ?Aof the undamped oscillator? Explain how you can tell.arrow_forwardA simple harmonic oscillator (SHO) with a mass of 47 kg has a total energy of 3394 J. Determine how fast the SHO is moving when its potential energy is 3 times its kinetic energy. Express your answer using appropriate mks units. v=arrow_forward
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