Acaydia School of Aesthetics LLC Virtual Simulation Pedulum Lab Report

Virtual Simulation Assignment

We are going to explore simple harmonic motion through the PhET Pendulum Lab to find out the relationship between the mass of the bob, the length of the string, the period of the pendulum, and the total energy of the system with respect to the variation of the released angle.

Open the

PhET “Pendulum Lab” Interactive Simulation

.

Use the Unit V Virtual Simulation Excel Worksheet

  Unit V: Virtual Simulation Assignment
Pedulum Lab
This assignment will allow you to demonstrate the following objectives:
4. Apply the concept of momentum conservations to daily life.
4.1 Investigate the momentum conservation in simple pendulum motion.
5.Identify the total mechanical energy conservation.
5.1 Explain the total energy conservation in simple harmonic motion.
5.2 Relate the mass and speed of the pendulum to kinetic energy and potential energy.
We are going to explore simple harmonic motion through the Pendulum Lab Interactive Simulation pro
relationship between the mass of the bob, the length of the string, the period of the pendulum, and the
respect to the released angles. You will record the period T and the vertical distance difference H in th
area) for the eight cases. Use the “Pendulum Lab” Interactive Simulation located in the syllabus.
Please read the instructions for this activity in the course syllabus. Then, complete the table below an
1.Enter the data for the period T and the vertical distance difference H in each case (35 points).
Angle: 50 degrees
Case
L[m]
M[kg]
A
0.5
0.5
B
0.5
1.5
C
1
0.5
D
1
1.5
T[s]
H[cm]
E [J]
Angle: 10 degrees
Case
a
b
c
d
2. Which factor between the mass M and the length L is more influencial on the period T of the pendulum
points)
3.Which factors among the mass M, the length L, the period T, and the vertical distance difference H are
points)
4. List the total mechanical energy E from greatest to least when the angle is 50 degrees for Cases A thr
5. List the total mechanical energy E from greatest to least when the angle is 10 degrees for Cases a thr
6. Which case has the greatest total mechanical energy E? Which case has the smallest total mechanica
7. What is the momentum of the pendulum at the highest position? What is the momentum of the pendu
Determine if the momentum is conserved or not. If not, explain why it is not conserved. (15 points)
nd potential energy.
m Lab Interactive Simulation provided by PhET to find the
period of the pendulum, and the total energy of the system with
ertical distance difference H in this Excel worksheet (highlighted
on located in the syllabus.
en, complete the table below and answer the questions.
each case (35 points).
Angle: 10 degrees
L[m]
M[kg]
0.5
0.5
0.5
1.5
1
0.5
1
1.5
T[s]
H[cm]
E [J]
l on the period T of the pendulum based on your experiment? (10
vertical distance difference H are related to the total energy?(10
gle is 50 degrees for Cases A through D. (10 points)
gle is 10 degrees for Cases a through d. (10 points)
has the smallest total mechanical energy E? (10 points)
t is the momentum of the pendulum at the lowest position?
not conserved. (15 points)
Unit V: Virtual Simulation Assignment
Pendulum Lab
This assignment will allow you to demonstrate the following objectives:
4. Apply the concept of momentum conservations to daily life.
4.1 Investigate the momentum conservation in simple pendulum motion.
5.Identify the total mechanical energy conservation.
5.1 Explain the total energy conservation in simple harmonic motion.
5.2 Relate the mass and speed of the pendulum to kinetic energy and potential energy.
We are going to explore simple harmonic motion through the Pendulum Lab provided by PheT to find out
the relationship between the mass of the bob, the length of the string, the period of the pendulum, and
the total energy of the system with respect to the released angles. You will record the period T and the
vertical distance difference H in the Excel spread worksheet (in the highlighted area) for eight cases. For
example, Case A is when the length L is 0.5 m, the mass M is 0.5 kg, the angle is 50 degrees, and so on,
as shown below:
Case
A
B
C
D
L[m]
0.5
0.5
1
1
M[kg]
0.5
1.5
0.5
1.5
Angle
50
50
50
50
Case
a
b
c
d
L[m]
0.5
0.5
1
1
M[kg]
0.5
1.5
0.5
1.5
Angle
10
10
10
10
Open the “Pendulum Lab” Interactive Simulation. After accessing the website, click on “Lab”.
Click on “Velocity” and “Energy Graph” in the top left. Click on “Ruler” and “Period Timer” in the bottom
left (See green oval). You can move along the ruler and the period timer when necessary.
For “Gravity” and “Friction” on the second box from the top right, leave the values as 9.81 m/s2 and none.
Let’s explore Case A first. Set the length as 0.5 meters and the mass as 0.5 kg in the top right. Adjust the
angle as 50 degrees, and watch how the KE (Kinetic Energy) and the PE (Potential Energy) vary at the
Energy Graph as well as the change of the velocity vector on the bob. You may click on the “slow” button
at the bottom for detailed changes. Please notice that the velocity is 0 when the pendulum is at the
highest position and the velocity is at its maximum value when the pendulum is at the lowest position.
That is, the total mechanical energy is the KE at the lowest position and is the PE at the highest position.
Click on the play button (see the red arrow in the screenshot below) on the “Period” box and wait a little
bit to find the measurement of the period T of the pendulum. Enter the value on the provided Excel
spreadsheet.
Using the ruler, you need to measure the vertical distance difference H when the pendulum is at the
lowest position and the pendulum at the highest position. Freeze the moment when the pendulum is at
the lowest position using the “slow” button and the “pause” button. If you cannot catch the exact desired
moment, you may click on the nearest possible moment.
Find the vertical distance from the bottom of the screen to the center of the blue bob. The total length of
the ruler is 100 cm. The number is 20 at the center of the bob. So, the vertical distance is 100 – 20 = 80
cm at the lowest position.
Resume the motion of the pendulum to find the highest position. After finding that position, measure the
distance from the bottom to the center of the blue bob using the ruler. It shows 2 cm at the center of the
bob, but it may be slightly different from person to person due to measurement error. So, the vertical
distance is 100 – 2 = 98 cm at the highest position.
Now we can obtain the vertical distance difference H, which is 98 – 80 = 18 cm. Record this data in the
provided Excel spreadsheet. Then the total energy E of this system is automatically calculated.
Now move on to the next case, Case B, in which the angle, length, and mass are 50 degrees, 0.5 meters,
and 1.5 kg respectively. Click on the red stop button to reset the data. Also, click on the period bar to
clear the previous value. Set the length as 0.5 meters and the mass as 1.5 kg in the top right. Make sure
that the angle is set to be 50 degrees, the acceleration due to gravity is 9.81 m/s2, and no friction. Repeat
the process above to find the period T and the vertical distance difference H in this case.
Repeat the above processes for the remaining cases. After completing the table, answer the Unit V
Assignment questions.