Uniform Circular Motion
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Title:
Uniform Circular Motion
Group 33:
Van Tran, Elyse Gallagher, Shrenik Patel
Experiment Date:
October 10th, 2023
Goals:
The goal of today’s lab is to observe the circular rotation of a cube on a turntable, and see the centripetal force that is acting upon it. We will first test the hypothesis that static friction is the source of the centripetal force, and aim to understand the concepts of tangential velocity and central acceleration.
Procedure:
Part I:
●
Place 2 cubes on the turntable, one on the rough surface, the other on the smooth surface
●
Increase DC voltage to 4V and click on the button
●
Turn up voltage slowly in 0.1 V increments until the objects fly off
●
Once set up, start records (no longer than 10s)
Part II:
●
Transfer to video to Capstone ●
Analyze the video ●
Track movement of each object on Capstone
Part III:
●
Create a graph and display the tangential velocity vT of the cube vs. time
●
From the graph, estimate the tangential velocity at the point when the cube flies off the turntable
Precautions and Sources of Error
: Precautions of errors can include incorrectly tracking the points of the cube. The video recording of the circle might not have been placed properly resulting in a hard video to analyze. Another thing is the rate of the increments in which we increased the turntable.
Data:
Rough Radius
Smooth Radius
Rough Vt
Smooth Vt
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Related Questions
5. Our sun orbits around the center of our galaxy (the Milky Way) once every 2.5 x 108 years. The
radius of the sun's orbit about the center of the galaxy is approximately 3.15 x 102⁰ m. The sun has
made only about 20 revolutions since the Earth was formed over 3 billion years ago! The centripetal
force keeping our sun in orbit is supplied by the force of gravity. Calculate the mass of the galaxy.
Show all work.
You are here!
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Centripetal force: the inward force that keeps an object
moving in a circle. If the centripetal force were removed,
the object would fly away from the circle in a straight line
that starts from a point tangent to the circle
1. What will happen to an object moving
in a circle if the centripetal force was
removed ?
The formula for centripetal acceleration (a) is:
2. How is centripetal acceleration related
to centripetal force ?
From Newton's second Law F= ma, the equation
3. Which measurements/variables affect
the size of the centripetal acceleration
and the centripetal force? Highlight the
key points in the text that will answer this
question.
F.
for centripetal force is therefore:
= ma =
m =mass in kilograms (Kg),
V= the speed in meters per second (m/s)
r=radius in meters (m).
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Experiment on Uniform Circular Motion. Solve and complete the table below. Thank you!
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PM2: please answer question and explain each step with reasoning
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Learning Goal:
To find some of the parameters characterizing an object moving in a
circular orbit.
The motivation for Isaac Newton to discover his laws of motion was to
explain the properties of planetary orbits that were observed by Tycho
Brahe and analyzed by Johannes Kepler. A good starting point for
understanding this (as well as the speed of the space shuttle and the
height of geostationary satellites) is the simplest orbit: a circular one.
This problem concerns the properties of circular orbits for a satellite
orbiting a planet of mass M.
For all parts of this problem, where appropriate, use G for the
universal gravitational constant.
Part C
The potential energy U of an object of mass m that is separated by a distance R from an object of mass M is given by
U=-G Mm
R
What is the kinetic energy K of the satellite?
Express your answer in terms of the potential energy U.
K =
Submit
Π ΑΣΦ
Previous Answers Request Answer
X Incorrect; Try Again; 2 attempts remaining
?
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Learning Goal:
To find some of the parameters characterizing an
object moving in a circular orbit.
The motivation for Isaac Newton to discover his
laws of motion was to explain the properties of
planetary orbits that were observed by Tycho Brahe
and analyzed by Johannes Kepler. A good starting
point for understanding this (as well as the speed of
the space shuttle and the height of geostationary
satellites) is the simplest orbit: a circular one. This
problem concerns the properties of circular orbits
for a satellite orbiting a planet of mass M.
For all parts of this problem, where appropriate, use
G for the universal gravitational constant.
Part A
Find the orbital speed v of a satellite in a circular orbit of radius R around a planet of mass M.
Express the orbital speed in terms of G, M, and R.
► View Available Hint(s)
V =
Submit
Part B
K =
Find the kinetic energy K of a satellite with mass m in a circular orbit of radius R around a planet of mass M.
Express your answer in terms of m,…
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Learning Goal:
To find some of the parameters characterizing an
object moving in a circular orbit.
The motivation for Isaac Newton to discover his
laws of motion was to explain the properties of
planetary orbits that were observed by Tycho Brahe
and analyzed by Johannes Kepler. A good starting
point for understanding this (as well as the speed of
the space shuttle and the height of geostationary
satellites) is the simplest orbit: a circular one. This
problem concerns the properties of circular orbits
for a satellite orbiting a planet of mass M.
For all parts of this problem, where appropriate, use
G for the universal gravitational constant.
The potential energy U of an object of mass m that is separated by a distance R from an object of mass M is given by
U=-G Mm
R
What is the kinetic energy K of the satellite?
Express your answer in terms of the potential energy U.
K =
Submit
Part D
T =
Find the satellite's orbital period T.
Express your answer in terms of G, M, R, and T.
► View…
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part a) Calculate the centripetal acceleration at its edge in multiples of g.
Part b) What is the linear speed of a point on its edge in m/s?
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Uniform Circular Motion and Universal Gravitation
1. A 0.50 kg toy car is on a circular table with a 1.9m radius. The car turns in a
horizontal circle at 3 revolutions in 18 seconds.
a. Calculate the period for the mass
b. Calculate the velocity acting on the mass as it circles around.
c. Calculate the centripetal Force acting on the mass.
d. Calculate the coefficient of friction between the toy car and the table.
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1. explain what is meant by an inertial frame of reference, and whether the earth’s motion around the sun is an inertial frame of reference or not.
2.Why is Newton’s first law used to define an inertial frame of reference?
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1. Define centripetal force.
2. What supplies the centripetal force for (a) a satellite
in orbit around the Earth and (b) the mass in uniform
circular motion in this experiment?
3. An object moving in uniform circular motion is
accelerating. How can this be, since uniform motion
implies constant motion?
4. For an object in uniform circular motion, on what
parameters does the experimental determination of the
centripetal force depend when using F 5 ma?
5. How does the centripetal force vary with the radius
of the circular path? Consider (a) constant frequency
and (b) constant speed. Was this substantiated by
experimental results?
6. If the centripetal force on an object in uniform
circular motion is increased, what is the effect on (a)
the frequency of rotation f (with r constant) and (b) f
and r when both are free to vary?
7. Does the centripetal force acting on an object in
uniform circular motion do work on the object?
Explain.
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(Figure 1)).
Express your answer using three significant figures and include the appropriate units.
?
T =
Value
Units
%3D
Figure
1 of 1
Submit
Request Answer
( Return to Assignment
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Please solve This multiple choice questions correctly in 15 minutes
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Assignment Score:
Ex Give Up?
O Hint
90%
Resources
Check Answer
Question 19 of 30
>
Attempt 3
Artificial gravity is a must for any space station if humans
are to live there for any extended length of time. Without
artificial gravity, human growth is stunted and biological
functions break down.
An effective way to create artificial gravity is through the
use of a rotating enclosed cylinder, as shown in the figure.
Humans walk on the inside edge of the cylinder, which is
sufficiently large (radius R) that its curvature is not readily
2R-
noticeable to the inhabitants. The space station in the figure
is not drawn to scale.
Once the space station is rotating at the necessary speed to
create an artificial gravitational acceleration equal to the
acceleration g at Earth's surface, how long will it take the
space station to make one revolution? Express this time t in
terms of g and R.
t =
!!
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q21
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23. Consider the following diagram of a red car turning a
corner (traveling counter-clockwise):
a.
Draw the centripetal acceleration and velocity
vectors to demonstrate the motion of the car.
10 m
b.
If the car has a weight of 17,000N and is
traveling with a speed of 15 m/s, what centripetal
force does it experience?
How many "g's" is this car experiencing during
this turn? (compare the centripetal acceleration to
gravity on Earth, 9.8 m/s^2)
66
с.
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a. How big is the gravity force that the Earth feels because of the student? Explain.
b. Two students discuss part a)
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the student's gravity pulls on the Earth. The gravity force the Earth feels must be less than 800 N."
Student 2: "That might be true, but I think that same 800 N would have less of an effect on the Earth than
it would on a person. Using a = F/m, the acceleration the Earth feels might be very small from an 800 N
force, because Earth is so heavy."
Which of these students, if any, do you agree with? Justify your response with words and/or equations.
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a. Kinetic Energyb. Potential Energyc. Linear Momentumd. Angular Momentum
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q10
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need help with this question
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A. 6.39 x 10^23 kg
B. 6.42 x 10^23 kg
C. 4.26 x 10^23 kg
D. Option 2
Describe the potential and kinetic energy of an object, that obtained escape velocity upon launching, in R = ∞.
A. PE = 0 | KE = 0
B. PE = 0 | KE = ∞
C. PE = ∞ | KE = ∞
D. PE = ∞ | KE = 0
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Not graded practice questions
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Apex Learning - Courses
om/public/activity/5000001/assessment
1 Pretest: Unit 5
Question 2 of 32
A satellite with a mass of 200 kg fires its engines to increase velocity, thereby
increasing the size of its orbit about Earth. As a result, it moves from a
circular orbit of radius 7.5 x 10° m to an orbit of radius 7.7 x 10° m. What is
the approximate change in gravitational force from Earth as a result of this
change in the satellite's orbit? (Recall that Earth has a mass of 5.97 x 1024 kg
and G= 6.67 x 10-11 N•m2/kg².)
A. -73 N
B. -59 N
C. -32 N
D. -112 N
SUBMIT
+ PREVIOUS
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A. The magnitude of the orbital velocity will be quadrupled.
B. The magnitude of the orbital velocity will be doubled.
C. The magnitude of the orbital velocity will be reduced by a factor of 4.
D. The magnitude of the orbital velocity will be halved.
Determine the GPE of a 300kg-object that is 2700km above Jupiter. Mass of Jupiter = 1.898 × 10^27 kg and radius of Jupiter is 69,911 km.
A. 3.25 x 10^11 J
B. 4.11 x 10^13 J
C. 5.23 x 10^11 J
D. 1.41 x 10^13 J
The handwriting or solutions please make it clear (readable) please thank you
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150km
CA-3 The space shuttle orbits the earth at an altitude of 150km.
It takes 87.3 minutes to complete one orbit.
a) Draw a figure showing the earth, the orbit, and the altitude of
150km.
b) What is the speed of the shuttle when in orbit?
c) What is the centripetal aceleration of the shuttle in orbit?
(Identify on your figure the radius of the orbit.)
d) Draw a free body diagram for the shuttle in orbit. It is above
the atmosphere.
R 6.37x10°m
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For the following questions,
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106 m. By sending an exploratory robot to Mars, we determined the acceleration due to gravity
on its surface as 3.73 m/s?. Estimate the mass of Mars. b. The Earth revolves around the Sun
once a year at a distance of 1.50 x 1011 m. Estimate the mass of the Sun. c. A rocket is
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