Physics Lab 6
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Laboratory 6
Goal: The goal of this experiment is to deepen our understanding of rotational motion and the components of rotational motion in real life events.
Experiment 1
Time it takes to complete 5 rotations:
-
6.18s
Distance from the shoulder to the elbow:
-
0.29 meters
Distance from the shoulder to the middle of the hand:
-
0.58 meters
Motion of the hand:
How far in degrees did the hand travel during the five rotations?
-
1800 degrees
How far in radians did the hand travel during the five rotations?
-
31.42 radians
How far in meters did the hand travel during the five rotations?
-
18.22 meters
What was the average angular speed (deg/s and rad/s) of the hand?
-
5.08 rad/s
-
291.26 *
/s
What was the average linear speed (m/s) of the hand?
-
2.94 m/s
What was the average angular acceleration (deg/s
2 and rad/s
2
) of the hang? How do you know?
-
0.822 rad/s
2
-
47.13 deg/s
2
What was the average centripetal acceleration (m/ s
2
) of the hand?
-
14.9 m/s
2
Motion of the elbow:
How far in degrees did the hand travel during the five rotations?
-
1800
*
How far in radians did the hand travel during the five rotations?
-
31.42 radians
How far in meters did the hand travel during the five rotations?
-
9.11 meters
What was the average angular speed (deg/s and rad/s) of the hand?
-
5.08 rad/s
-
291.26
What was the average linear speed (m/s) of the hand?
-
1.47 m/s
What was the average angular acceleration (deg/s
2 and rad/s
2
) of the hang? How do you know?
-
0.82 m/s
2
-
47.13 */s
2
What was the average centripetal acceleration (m/ s
2
) of the hand?
-
5.06 m/s
2
Which quantities are different and which quantities are the same for the hand and the elbow?
-
The degrees, radians, average angular speed, and average angular acceleration are the same measurements for both the hand and elbow. The rest of the measurements were different for the hand and the elbow. Exploration
Describe the direction of those arrows, while the angular speed of the wheel is increasing, constant, or decreasing?
-
When the angular speed is constant the arrows stay perpendicular. When the angular speed decreases the arrow becomes smaller. When the angular speed is increasing the arrow becomes perpendicular.
Set the applied force equal to 1.5 N.
Click Go let the simulation run for approximately 10 seconds.
What is the magnitude and direction of the torque on the wheel?
-
The magnitude of the torque is 6 Newton meters, and the direction of the torque is perpendicular to the circle.
What happens to the ladybug?
-
The ladybug originally stays in the same place, eventually flying off the circle.
What provides the centripetal force to keep the bug moving in a circle?
-
The friction and force keep the bug moving on the circle.
Why does this eventually fail?
-
Eventually the force of the torque is greater, and the friction can no longer increase.
Click reset All, and set the force to 0.5 N.
Observe the acceleration vector after you click Go. How does it change?
-
The vector, acceleration vector, increases and the vector increases in magnitude. Will the acceleration vector ever point directly to the center? Why or why not?
-
Yes the acceleration vector points directly to the center and stays pointing in the center.
Click reset All, and set the force to 0.5 N
Approximately 5 second after you click Go set the brake force to approximately 1 N.
What happens to the acceleration vector?
-
The acceleration vector decreases in magnitude and moves away from the center of the circle.
Moment of Inertia Lab
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Related Questions
Use formulas from the one I provided a page please and explain me step by step
=
1.
A mass is revolving in a horizontal circle. The path of the mass has a radius of 0.050 m and
a period of 0.50 s. What is the linear speed of the mass in m/s?
a.
0.63
b.
0.32
C.
d.
021
0.05
e.
3.1
2. A small ball is revolving in a horizontal circle and is held by a rigid rod. The path of the ball
has a constant linear speed. The ball has a mass m=1 kg. The force exerted by the rod is 0.5
N. What is the centripetal acceleration in m/s??
a. Unknown: Need R
b. 1
C.10
D.0.05
E. 0.5
=
3. A ball is revolving horizontally in a circle and is held by a rigid rod. The mass of the ball is
0.1 kg. The path of the ball has an angular velocity of 10 rad/s and a radius of 0.1 m. What
is the linear speed of the ball in m/s?
a. 1
b. 1/10
C.1/100
d 10
e
100
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Column A
Column B
(Meaning/Definition)
1. A measure of how angular velocity changes over time.
2. The imaginary or actual axis around which an object
(Term/s)
A: Angular
position
B. Linear velocity
E Axis of
rotation
D.Tangential
Acceleration
may rotate.
3. It is the change in linear velocity divided by time.
4. It is half of the circle's circurmference
5. The orientation of a body or figure with respect to a
specified reference position as expressed by the amount EAngular
of rotation necessary to change from one orientation to the
other about a specified axis.
6. The rate of rotation around an axis usually
expressed in radian or revolutions per second or
per minute.
7. A property of matter by which it remains at rest or in 1 Angular
uniform motion in the same straight line unless acted upon
by some exiernal force.
8. Branch of dynamics that deals with aspects of motion apart
from considerations of mass and force.
velocity
F. Kinematics
G. Angular
acceleration
H. Radian
displacement…
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at2
Equation: 0, = 0+wt +
1st term
2nd term
3rd term
The units of the physical quantity symbolized by 0, are radian.
The units of the physical quantity symbolized by t are hour.
a) What are the units of the 1st term on the RHS of the equation?
Briefly explain your answer.
b) What are the units of the 2nd term on the RHS of the equation?
Briefly explain your answer.
c) What are the units of the 3rd term on the RHS of the equation?
Briefly explain your answer.
d) What are the units of the physical quantity symbolized by a? Briefly
explain your answer.
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1. The mass m = 178 g in the figure on the right (above) is moving in a circular path of radius 22 cm at a constant speed. It takes 2.6 seconds to make 5 revolutions. How fast is the mass traveling?
Approximate pi to 3.14 for this calculation. Present your answer with three significant figures.
2. The mass m = 180g in the figure on the right (above) is moving in a circular path of radius 19 cm at speed 1.250 m/sec. What is the force on the spring?
Present your answer with three significant figures.
arrow_forward
You need to guide a robot from the red dot on the left to the green dot on the right, avoiding the blue
walls along the way.
units
To do this, you must feed it a series of commands of the form "turn degrees and move
forward". Angles are measured in degrees, with positive angles turning counterclockwise, and negative
angles turning clockwise. All turns are relative to the robot's current direction. The grid marks 1 unit
squares.
From the red starting dot, with the robot facing directly to the right, issue your commands: (all commands
should be given as decimal values)
Move 1: Turn
9
Move 2: Turn
Move 3: Turn
Move 4: Turn
degrees and move
degrees and move
degrees and move
degrees and move
units forward
units forward
units forward
units forward
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Which of the following is not equal to the unit of energy?
a.) J
b.) Nm
c.) kg*m^2/s^2
d.) W/s
In the derived equation for orbital period in the Law of Harmony, which of the following physical quantities is not included?
a.) п (pi)
b.) G
c.) r
d.) N
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At what rate must a cylindrical spaceship rotate if occupants are to experience simulated gravity of 0.66 g? Assume
the spaceship's diameter is 30 m , and give your answer as the time needed for one revolution (see the figure
(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
Provide Feedback
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A spaceship in outer space has a doughnut shape with
500-m outer radius. The inhabitants stand with their
heads toward the center and their feet on an outside rim,
as shown in(Figure 1).
Part A
Over what time interval would the spaceship have to complete one rotation on its axis to make a bathroom scale have
the same reading for the person in space as when on Earth's surface?
Figure
Express your answer with the appropriate units.
HA
T =
Value
Units
Submit
Request Answer
Part B Complete previous part(s)
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If the factory installed tires of a car have a circumference of 110.5 in. and you change
them to tires with circumference of 120.8 in., what is the actual distance you've
traveled if your odometer reads 50,000 miles? (Please round to the nearest whole
number)
A. 54660 miles
B. 4854 miles
C. 4855 miles
D. 54661 miles
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You have a horizontal grindstone (a disk) that is 94 kg, has a 0.32 m radius,
F
is turning at 89 rpm (in the positive direction), and you press a steel axe against the edge with
a force of 22 N in the radial direction.
Randomized Variablesm = 94 kg
r= 0.32 m
f= 89 rpm
F = 22 N
Assuming that the kinetic coefficient of friction between steel and stone is 0.20, calculate the angular acceleration of
the grindstone in rad/s?.
arrow_forward
In a certain binary-star system, each star has the same mass which is 6.4 times of that of the Sun, and they
revolve about their center of mass. The distance between them is the 4.1 times the distance between Earth and
the Sun. What is their period of revolution in years?
Number i
Units
î
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Choose the correct letter
We can apply the laws of conservation of linear momentum and angular momentum to the description of the motion of rigid bodies because
A. Forces that maintain constant distances between different pairs of point masses are internal forces (i.e. forces of constraint)
B. Forces of constraint come in pairs and obey Newton’s third law (i.e. they are equal and act along the same line of action)
C. In any displacement the relative distances and the orientations of different particles remain the same with respect to each other
D. No network is done by the internal forces or the forces of constraint
E. All of the above are correct
F. None of the above is correct
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time of 5 rotations (16.5 s)
Time of 1 rotation (3.3 s)
Distance from shoulder to elbow (20.32cm)
Distance from shoulder to middle of hand (56.99cm)
A. How far (degrees and rad) did the elbow travel during the five rotations?B. How far (m) did the elbow travel during the five rotations? C. How do these compare to the hand? Why are they the same and/or different?
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Solve the following problems.
000
1. Assume that Earth's orbit around the sun is circular, and that the radius of
Earth's orbit is about 1.50 x 10" km. Earth completes a full revolution around the
sun in 365 days.
a. Calculate the tangential velocity of Earth in km/s (you have to convert days
to seconds first).
b. Calculate the acceleration of Earth towards the sun in m/s (you have to
convert days to seconds and km to m first).
2. A certain Ferris wheel with radius 14.0 m is turning at speeds of 7.00 m/s at its
farthest point.
a. What is the acceleration experienced by a car attached to the rim of the
Ferris wheel?
b. How long does it take for the Ferris wheel to complete one full revolution?
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EXPERIMENT ONE
The purpose of this experiment is to use the given data to plot
graphs and determine the experimental values of the acceleration
due to gravity.
A. The table below shows data taken in a free-fall experiment.
Measurements were made of the distance fall (y) at each of
four precisely measured times. Complete the table. Round
off to same number of decimal places, even if you carry
extra digits during your intermediate calculations.
Time, ly,(m) y,(m)ly,(m)ly,(m)ly.(m)yt (s')
(s)
0.00
0.00
0.00 0.00 Jo.00 0.00
0.50
1.0
1.4
1.1
1.4
1.5
0.75
2.6
1.00
4.8
8.2
3.2
2.8 2.5 3.1
4.4
5.1
4.7
4.8
1.25
7.9
7.5
8.1
7.4
B. The equation of motion for an object in free fall starting
from rest is y = ½ gt, where g is the acceleration due to
gravity. This is the equation of a parabola, which has the
general form y = ax². Convert the curve to a straight line by
plotting i versus t?. That is, plot the square of the time on
the horizontal axis. Determine the slope of the line and
compute the…
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time of 5 rotations (16.5 s)
Time of 1 rotation (3.3 s)
Distance from shoulder to elbow (20.32cm)
Distance from shoulder to middle of hand (56.99cm)
a.How far in degrees did the hand travel during the five rotations?
b. How far in radians did the hand travel during the five rotations?
c. How far in meters did the hand travel during the five rotations?
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At the instant shown, 0 = 60°, and rod AB is subjected to a deceleration
a = 18 m/s² when the velocity v = 9 m/s. (Figure 1)
Figure
300 mm
300 mm
1 of 1
Part A
Determine the angular velocity of link CD at this instant measured counterclockwise.
Express your answer in radians per second to three significant figures. Enter positive value if the angular velocity is counterclockwise and negative value if the angular
velocity is clockwise.
Submit
Part B
17 ΑΣΦ
ΑΣΦ |
α =
Request Answer
Submit
D
Π| ΑΣΦ | 41
vec
Determine the angular acceleration of link CD at this instant measured counterclockwise.
Express your answer in radians per second squared to three significant figures. Enter positive value if the angular acceleration is counterclockwise and negative value if the
angular acceleration is clockwise.
Request Answer
H
vec
?
rad/s
?
rad/s²
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A large wheel with a radius of 7 m completes a revolution every 16 seconds. The bottom of the wheel is 1.5 m above the ground.
a) Draw a graph showing the change in height of a person above the ground as a function of time for three revolutions, starting from the lowest point on the wheel.
b) Formulate the equation corresponding to the graph.
c) Predict the change in the graph and the equation if the Ferris wheel spins more slowly.
d) Verify the prediction you made in c) by plotting the graph for three revolutions and
revolutions and formulating the corresponding equation, if the wheel completes one revolution every 20 s. The average height of water in a harbour is 5 m. At low tide, the height of the water .
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1. Write the formula for finding the magnitude of the force given its rectangular
components.
2. How is the direction angle of the force measured?
3. How is the reference angle
4. Why does the line of action of the resultant R need to pass through the common
point of a given concurrent force system?
computed?
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Which of these is an example of high precision?
a. An archer hits the bulls-eyeb. A student correctly calculates the acceleration due to gravity to be 9.8ms2c. An archer hits the same spot on the target three times in a rowd. A student tries to throw a pencil into the garbage can and makes it ine. A student correctly calculates the mass of an object to be 54kg
arrow_forward
You need to guide a robot from the red dot on the left to the green dot on the right, avoiding the blue walls
along the way.
degrees and move
To do this, you must feed it a series of commands of the form "turn
forward". Angles are measured in degrees, with positive angles turning counterclockwise, and negative angles
turning clockwise. All turns are relative to the robot's current direction. The grid marks 1 unit squares.
units
From the red starting dot, with the robot facing directly to the right, issue your commands: (all commands
should be given as decimal values)
Move 1: Turn
degrees and move
units forward
Move 2: Turn
degrees and move
units forward
Move 3: Turn
degrees and move
units forward
Move 4: Turn
degrees and move
units forward
To be successful, your robot must end up within the green ending dot, and not collide with any walls.
arrow_forward
5)Suppose a 6.0×1010 kg meteorite struck the Earth at the equator with a speed 2.5×104 m/s, as shown in (Figure 1) and remained stuck.
Part A
By what factor would this affect the rotational frequency of the Earth (1rev/day)?
Express your answer using two significant figures.
Δω/ω=?
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Suppose a 45 kg person rides a ferris wheel with a diameter of 62 meters. The ferris wheel completes one revolution in 32 seconds.
a. calculate the person's apparent weight at the top.
b. Calculate the person's apparent weight at the bottom.
c. suppose the ride is sped up to where the apparent weight at the top is zero. what would be the time for one revolution?
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on 18
Doubling the radius of a sphere results in increasing its volume by a factor of
L00 out
a.
4
O b. 8
Correct
en
С. 2
O d. 8 p
The correct answer is: 8
19
Exploring proportions in the human body, you can notice that the span of
your arms is equal to your body height. If a child has height of 1.3 m, and
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5)Suppose a 6.0×1010 kg meteorite struck the Earth at the equator with a speed 2.5×104 m/s, as shown in (Figure 1) and remained stuck.
Part A
By what factor would this affect the rotational frequency of the Earth (1rev/day)?
Express your answer using two significant figures.
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Greetings and thank you for your help
Rotation Angle and Angular Velocity
1. Semi-trailer trucks have an odometer on one hub of a trailer wheel. The hub is weighted so that it does not rotate, but it contains gears to count the number of wheel revolutions—it then calculates the distance traveled. If the wheel has a 1.15 m diameter and goes through 200,000 rotations, how many kilometers should the odometer read?
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odf
1/4
100%
Note: use g=10 m/s? in your calculations
1. Two blocks with masses m, and m, are
connected by a light string passing over a pulley of
radius R and moment of inertia I. The kinetic
friction coefficient between the boxes and inclined
planes are respectively given by H1 and uz. The
system starts from its rest position, and motion
sets in the direction of mass m2.
(a) Write an expression for the linear acceleration a as a function of the parameters m,, m2, P, Hz, R,
I and inclination angles.
(b) For the given system parameters:
m1(kg)
m2(kg)
0,(0)
02(*)
I(kg.m²)
R(m)
1.5
3.5
45
60
3.0
1.5
Fill in the following table for string tension forces and accelerations corresponding to the given two
cases:
- Case 1: Inclined planes with kinetic friction coefficients u, = 0.2 and uz = 0.8.
- Case 2: Frictionless planes and ignorable mass of the disk.
Table 1: Problem 1 (Express your answer in three decimal places)
a (m/s³)
T(N)
T2(N)
a (rad/s²)
Case-1
Case-2
BELL
Insert
PintScE
Delete…
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If the rotational curve (orbital speed versus distance from center) of a spherically symmetric object is flat, what is implied about the mass density?
A. It remains constant at all distance from center.
B. It increases with distance from center.
C. It decreases with distance from center.
D. It remains zero far from the center because the distribution is essentially a point mass.
Is the answer B? Orbital velocity is still the same as the distance from the centre increases. By Mr = v2r/G, Mass increases with increasing radius when velocity is kept constant. So, galaxies with flat rotational curves indicate they contain large amounts of dark matter, especially further out from the centre. Thank you for clarifying my understanding!
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ESCAPE VELOCITY
Determine the mass of the planet that requires an escape velocity of 5,030 m/s to escape its gravitational pull. Radius of the planet is 3,389.5 km.
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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- Use formulas from the one I provided a page please and explain me step by step = 1. A mass is revolving in a horizontal circle. The path of the mass has a radius of 0.050 m and a period of 0.50 s. What is the linear speed of the mass in m/s? a. 0.63 b. 0.32 C. d. 021 0.05 e. 3.1 2. A small ball is revolving in a horizontal circle and is held by a rigid rod. The path of the ball has a constant linear speed. The ball has a mass m=1 kg. The force exerted by the rod is 0.5 N. What is the centripetal acceleration in m/s?? a. Unknown: Need R b. 1 C.10 D.0.05 E. 0.5 = 3. A ball is revolving horizontally in a circle and is held by a rigid rod. The mass of the ball is 0.1 kg. The path of the ball has an angular velocity of 10 rad/s and a radius of 0.1 m. What is the linear speed of the ball in m/s? a. 1 b. 1/10 C.1/100 d 10 e 100arrow_forwardColumn A Column B (Meaning/Definition) 1. A measure of how angular velocity changes over time. 2. The imaginary or actual axis around which an object (Term/s) A: Angular position B. Linear velocity E Axis of rotation D.Tangential Acceleration may rotate. 3. It is the change in linear velocity divided by time. 4. It is half of the circle's circurmference 5. The orientation of a body or figure with respect to a specified reference position as expressed by the amount EAngular of rotation necessary to change from one orientation to the other about a specified axis. 6. The rate of rotation around an axis usually expressed in radian or revolutions per second or per minute. 7. A property of matter by which it remains at rest or in 1 Angular uniform motion in the same straight line unless acted upon by some exiernal force. 8. Branch of dynamics that deals with aspects of motion apart from considerations of mass and force. velocity F. Kinematics G. Angular acceleration H. Radian displacement…arrow_forwardat2 Equation: 0, = 0+wt + 1st term 2nd term 3rd term The units of the physical quantity symbolized by 0, are radian. The units of the physical quantity symbolized by t are hour. a) What are the units of the 1st term on the RHS of the equation? Briefly explain your answer. b) What are the units of the 2nd term on the RHS of the equation? Briefly explain your answer. c) What are the units of the 3rd term on the RHS of the equation? Briefly explain your answer. d) What are the units of the physical quantity symbolized by a? Briefly explain your answer.arrow_forward
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