Expert answer:Centripetal Force

  

Solved by verified expert:The force which pulls an object toward the center of a circle is called centripetal force. How much centripetal force needs to be exerted to cause an object to move in a circle? Your experience should tell you that the amount of centripetal force that you need to exert depends on the mass of the object you are whirling, how fast you are whirling it and the radius of the circle.
We will use an apparatus similar to the one pictured below to measure the effect of speed on centripetal force. You can hold the mass constant during a set of trials by always whirling the same object. You can keep the radius of the circle constant (with a little practice) by keeping the upper paper clip a fixed distance below the tube while whirling the object.I’m uploading a complete virson work by my firend, you can copy his data, make some changes and use it in mine work, that’s fine. After that just follow the guide in the excel. The questions are the same , but I need you to do another virson base on your make up data
centripetal_force.xlsx

9_centripetal_lab_07_15.doc

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Centripetal Force
Name:
Group Members (if any):
Instructions:
The force which pulls an object toward the center of a circle is called centripetal force. How much centripetal force nee
to be exerted to cause an object to move in a circle? Your experience should tell you that the amount of centripetal for
that you need to exert depends on the mass of the object you are whirling, how fast you are whirling it and the radius o
the circle.
We will use an apparatus similar to the one pictured below to measure the effect of speed on centripetal force. You can
hold the mass constant during a set of trials by always whirling the same object. You can keep the radius of the circle
constant (with a little practice) by keeping the upper paper clip a fixed distance below the tube while whirling the objec
Outcomes:
1. The student will analyze the relationship between the speed of an object in uniform circular motion (UCM) and the centripetal
on the object.
2. The student will explain the relationship between centripetal speed and centripetal force using graphical analysis.
Materials:
1 Meter Stick
1 Digital Timer
1 Centripetal Force Apparatus
– String
– Bag of Washers
– Glass Tube
– Paper Clip
– Cork Stopper
1 Camera or phone to take a selfie with your setup.
Safety Points:
1. Small parts are involved, keep them from small children or animals.
2. Don’t leave them scattered on the floor, trip hazard.
3. Be aware of your surroundings, make sure the space is clear for the apparatus to swing.
4. Be cautious as the tube is glass and can break resulting in sharp edges.
Procedure:
1. Place 4 washers on the bottom clip of the apparatus. This part of the apparatus hangs straight down, and the weight of the wa
centripetal force.
2. Practice whirling the stopper until you can keep the upper clip a short distance below the bottom of the tube while the stopper
If the clip touches the bottom of the tube, the weights are no longer supplying the centripetal force. If the clip rises or f
the stopper whirls, the radius of the circle is changing. Practice!
3. Measure the radius of your circle; record the value in your data table.
4. Use a stop watch to measure the time taken for a 30 revolutions Record your data.
5. Change the number of washers on the bottom clip (centripetal force) and repeat step 3. Repeat for several different weights.
each trial. If you get a data validation error, you have made a mistake. Check units or your calculation and try again.
6. Change the position of the upper clip to change the radius of the circle. Repeat the experiment for this radius. Be sure to indic
7. You must also take a selfie of you with your setup to make the measurements. Your face must be visible in the pictu
Data & Calculations:
Trial 1: Radius =
# of Washers
Time for 30
revolutions (s)
m
Time for 1
revolutions (s)
Linear Speed
(m/s)
Linear Speed^2
(m/s)^2
Linear Speed
(m/s)
Linear Speed^2
(m/s)^2
4
8
12
16
20
Trial 2: Radius =
# of Washers
m
Time for 30
revolutions (s)
Time for 1
revolutions (s)
4
8
12
16
20
1. Calculate the period of revolution, T (the time to go around once) for each trial. Explain how you did that.
2. Calculate the linear speed, v, of the stopper for each trial. Record in above table. Explain how you did that.
3. Using a graphing program, create a graph of number of washers (y-axis) versus linear speed (x-axis). Be sure you draw the b
4. Theoretically, the centripetal force should be directly proportional to the square of the speed. To check this, calculate the linea
5. Construct a graph of number of washers versus linear speed^2. Be sure you draw the best smooth curve through your data
Analysis:
1. The number of washers represents the centripetal force. Is the graph of centripetal force (# of washers) versus speed a straig
2. What is the relationship between centripetal force and linear speed^2? Explain.
3. Add your selfie below.
w much centripetal force needs
the amount of centripetal force
re whirling it and the radius of
on centripetal force. You can
keep the radius of the circle
tube while whirling the object.
otion (UCM) and the centripetal force
graphical analysis.
down, and the weight of the washers supplies the
m of the tube while the stopper whirls. IMPORTANT!
etal force. If the clip rises or falls appreciably as
at for several different weights. Record the data for
ation and try again.
t for this radius. Be sure to indicate where the radius
ce must be visible in the picture. Insert it at the
u did that.
you did that.
x-axis). Be sure you draw the best smooth curve
o check this, calculate the linear speed^2, add this
mooth curve through your data points. Paste graph
washers) versus speed a straight line or a curve?
Name: ____Tianheng Zhang_____ Group Members:__Ruoqi Tan,Yuchen Hu__________
Centripetal Force and Speed Lab
The force which pulls an object toward the center of a circle is called centripetal force.
How much centripetal force needs to be exerted to cause an object to move in a circle?
Your experience should tell you that the amount of centripetal force that you need to
exert depends on the mass of the object you are whirling, how fast you are whirling it
and the radius of the circle.
We will use an apparatus similar to the one pictured below to measure the effect of
speed on centripetal force. You can hold the mass constant during a set of trials by
always whirling the same object. You can keep the radius of the circle constant (with a
little practice) by keeping the upper clip a fixed distance below the tube while whirling
the object.
Objectives:
1. The student will investigate the relationship between the speed of an object in
uniform circular motion (UCM) and the centripetal force on the object.
2. The student will determine the relationship between centripetal speed and
centripetal force using graphical analysis.
Materials:
Centripetal Force Apparatus
Meter Stick
Washers
Stop Watch
Procedure:
1. Place 4 washers on the bottom clip of the apparatus. This part of the apparatus
hangs straight down, and the weight of the washers supplies the centripetal
force.
2. Practice whirling the stopper until you can keep the upper clip a short distance
below the bottom of the tube while the stopper whirls. IMPORTANT! If the clip
touches the bottom of the tube, the weights are no longer supplying the
centripetal force. If the clip rises or falls appreciably as the stopper whirls,
the radius of the circle is changing. Practice!
3. Measure the radius of your circle; record the value in your data table.
4. Use a stop watch to measure the time taken for a 30 revolutions Record your
data.
5. Change the number of washers on the bottom clip (centripetal force) and repeat
step 3. Repeat for several different weights. Record the data for each trial.
6. Change the position of the upper clip to change the radius of the circle. Repeat
the experiment for this radius. Be sure to indicate where the radius changes in
your data table.
Data & Calculations:
Trial 1: Radius=____0.734________ m
# of Washers
Time for 30
revolutions (s)
Time for 1
revolution (s)
Linear Speed
(m/s)
Linear Speed2
(m/s) 2
4
24.34
0.811
5.684
32.308
8
21.96
0.732
6.297
39.652
12
17.16
0.572
8.059
64.947
16
15.30
0.51
9.038
81.685
20
14.40
0.48
9.603
92.218
Trial 2: Radius= _____0.556_______ m
# of Washers
Time for 30
revolutions (s)
Time for 1
revolution (s)
Linear Speed
(m/s)
Linear Speed2
(m/s) 2
4
22.93
0.764
4.570
20.887
8
19.55
0.652
5.355
28.679
12
15.20
0.507
6.887
47.430
16
14.23
0.474
7.366
54.264
20
12.41
0.413
8.454
71.477
1. Calculate the period of revolution, T (the time to go around once) for each
trial.
2. Calculate the linear speed, v, of the stopper for each trial. Record in above
table.
3. Using a graphing program create a graph of number of washers (y axis)
versus linear speed (x axis). Be sure you draw the best smooth curve
through your data points.
4. Theoretically, the centripetal force should be directly proportional to the
square of the speed. To check this, calculate the linear speed2, add this
value to your data table for linear speed2.
5. Construct a graph of number of washers versus linear speed2. Be sure you
draw the best smooth curve through your data points.
6. Includes graphs in your lab report.
Analysis:
1. The number of washers represents the centripetal force. Is the graph of
centripetal force (# of washers) versus speed a straight line or a curve? Explain.
When the centripetal force changes with the speed, it has the same direction. So the
line is on the rise. But because of the centripetal force is proportional to the linear speed
2, it represents a straight line. So the centripetal force versus speed a curve.
2. What is the relationship between centripetal force and linear speed 2? Explain.
The centripetal force is directly proportional to the linear speed2. According to the
equation F=mv2/r, the centripetal force has a proportion to the square of the speed, to
put in another word, when the force increases, the square of the speed increase as
same percentage as the force.

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