Arm ab has a constant angular velocity of 16 rad/s counterclockwise. At the instant when theta = 60
The linear acceleration of collar D when θ = 60° is - 693.867 inches per square second.
How to determine the angular velocity of a collarIn this question we have a system formed by three elements, the element AB experiments a pure rotation at constant velocity, the element BD has a general plane motion, which is a combination of rotation and traslation, and the ruff experiments a pure translation.
To determine the linear acceleration of the collar ([tex]a_{D}[/tex]), in inches per square second, we need to determine first all linear and angular velocities ([tex]v_{D}[/tex], [tex]\omega_{BD}[/tex]), in inches per second and radians per second, respectively, and later all linear and angular accelerations ([tex]a_{D}[/tex], [tex]\alpha_{BD}[/tex]), the latter in radians per square second.
By definitions of relative velocity and relative acceleration we build the following two systems of linear equations:
Velocities[tex]v_{D} + \omega_{BD}\cdot r_{BD}\cdot \sin \gamma = -\omega_{AB}\cdot r_{AB}\cdot \sin \theta[/tex] (1)
[tex]\omega_{BD}\cdot r_{BD}\cdot \cos \gamma = -\omega_{AB}\cdot r_{AB}\cdot \cos \theta[/tex] (2)
Accelerations[tex]a_{D}+\alpha_{BD}\cdot \sin \gamma = -\omega_{AB}^{2}\cdot r_{AB}\cdot \cos \theta -\alpha_{AB}\cdot r_{AB}\cdot \sin \theta - \omega_{BD}^{2}\cdot r_{BD}\cdot \cos \gamma[/tex] (3)
[tex]-\alpha_{BD}\cdot r_{BD}\cdot \cos \gamma = - \omega_{AB}^{2}\cdot r_{AB}\cdot \sin \theta + \alpha_{AB}\cdot r_{AB}\cdot \cos \theta - \omega_{BD}^{2}\cdot r_{BD}\cdot \sin \gamma[/tex] (4)
If we know that [tex]\theta = 60^{\circ}[/tex], [tex]\gamma = 19.889^{\circ}[/tex], [tex]r_{BD} = 10\,in[/tex], [tex]\omega_{AB} = 16\,\frac{rad}{s}[/tex], [tex]r_{AB} = 3\,in[/tex] and [tex]\alpha_{AB} = 0\,\frac{rad}{s^{2}}[/tex], then the solution of the systems of linear equations are, respectively:
Velocities[tex]v_{D}+3.402\cdot \omega_{BD} = -41.569[/tex] (1)
[tex]9.404\cdot \omega_{BD} = -24[/tex] (2)
[tex]v_{D} = -32.887\,\frac{in}{s}[/tex], [tex]\omega_{BD} = -2.552\,\frac{rad}{s}[/tex]
Accelerations[tex]a_{D}+3.402\cdot \alpha_{BD} = -445.242[/tex] (3)
[tex]-9.404\cdot \alpha_{BD} = -687.264[/tex] (4)
[tex]a_{D} = -693.867\,\frac{in}{s^{2}}[/tex], [tex]\alpha_{BD} = 73.082\,\frac{rad}{s^{2}}[/tex]
The linear acceleration of collar D when θ = 60° is - 693.867 inches per square second. [tex]\blacksquare[/tex]
RemarkThe statement is incomplete and figure is missing, complete form is introduced below:
Arm AB has a constant angular velocity of 16 radians per second counterclockwise. At the instant when θ = 60°, determine the acceleration of collar D.
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Red light has a wavelength of (7. 21x10^7)m. What is the frequency of this light?
Answer:
TO answer this question i need wave speed
Explanation:
To measure a population’s baseline genetic state, it must have _____________ to be in hardy-weinberg equilibrium
Answer:
b
Explanation:
b
A 10. 0 cm object is 5. 0 cm from a concave mirror that has a focal length of 12 cm. What is the distance between the image and the mirror? 3. 5 cm –3. 5 cm 8. 6 cm –8. 6 cm.
The distance between the image and the mirror is -8.6 cm
What is concave mirror?A concave mirror has a reflective surface that is curved inward and away from the light source. Concave mirrors reflect light inward to one focal point.
Unlike convex mirrors, the image formed by a concave mirror shows different image types depending on the distance between the object and the mirror.
Let's use the mirror equation to solve the problem:
[tex]\dfrac{1}{f}=\dfrac{1}{d_o}+\dfrac{1}{d_i}[/tex]
where f is the focal length of the mirror, the distance of the object from the mirror, and the distance of the image from the mirror.
For a concave mirror, for the sign convention f is considered to be positive. So we can solve the equation for by using the numbers given in the text of the problem:
[tex]\dfrac{1}{12}=\dfrac{1}{5}+\dfrac{1}{d_i}[/tex]
[tex]\dfrac{1}{d_i}=-\dfrac{7}{60}[/tex]
[tex]d_i=-8.6\ cm[/tex]
Where the negative sign means that the image is virtual, so it is located behind the mirror, at 8.6 cm from the center of the mirror.
Hence the distance between the image and the mirror is -8.6 cm
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With upward speeds of 12.5 m/s, the elevators in the Yokohama Landmark Tower in Yokohama, Japan, are among the fastest elevators in the world. Suppose a passenger with a mass of 70.0 kg enters one of these elevators. The elevator then goes up, reaching full speed in 4.00 s. Calculate the net force that is applied to the passenger during the elevator's acceleration.
The net force that is applied to the passenger during the elevator acceleration is 218.75 N.
What is net force?This is the single force obtained from the combinatiion of two or more forces
To calculate the net force that is applied to the passenger during the elevator's acceleration, we use the formula below.
Formula:
F = m(v-u)/t............ Equation 1Where:
F = forcem = massv = Final velocityu = initial velocityt = time.From the question,
Given:
m = 70 kgu = 0 m/sv = 12.5 m/st = 4 sSubstitute these values into equation 1
F = 70(12.5-0)/4F = 218.75 NHence, The net force that is applied to the passenger during the elevator acceleration is 218.75 N.
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Hello people ~
Voice of man is heavy compared to a woman because
(a) Female vocal cord is longer
(b) Male vocal cord is shorter
(c) Male vocal cord is longer
(d) The concept is not related
Answer:
(c) the male vocal cord is longer
Explanation:
Males have a lower pitch in their voises than females, elongating men's vocal cords.
I am joyous to assist you at any time.
Voice of man is heavy compared to a woman because male vocal cord is longer.
What is the difference between male and female voice?The change is caused by an enlargement in the vocal folds, generating a more serious and adult voice. Generally speaking, the male voice is deeper than the female voice because the vocal muscles grow more in men than in women.
Males have a lower pitch in their voises than females, elongating men's vocal cords.
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is it possible to make your lifetime displacement zero, if so where would you go?
Answer:
Yes
Explanation:
Displacement is the distance from the starting point to the end point. If you live and die at the same place, you will have 0m as your displacement.
Based on the figure, a decrease in _________ could cause the economy to move from point a to point b
A decrease in production of goods could cause the economy to move from point a to point b.
What cause shifts in economy?Shifts in the production are due to many factors that change the output of an economy such as advances in technology, changes in resources, more education or training and changes in the labor force.
So we can conclude that a decrease in production of goods could cause the economy to move from good to poor.
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10. In the process of fusion, nuclear energy is
A. absorbed when a nucleus splits.
B. released when a nucleus splits.
C. released when nuclei join.
D. absorbed when nuclei switch places.
Answer:
B released when a nucleaus splits
80 POINTS MARK BRAINLIEST this experiment is to see if water flows faster oit of a smaller can or a larger can. you will need: two cans (one quite small like a soup can and the other large, like a juice can.) follow these steps: remove the top of each can punch a hole in the side of each can, very close to the bottem, making sute the holes are equal in size. Cover each hole with a peice of tape, and place the cans next to the sink. b. put tje water in both cans, making sure the water is at the same level - different ampuns, but the same level. turn the cans so the holes are facing into the sink, and remove the tape at the time. answer these questions: do the streams of water shoot out at the same distance? why or why not? c. try the same experiment, but this time put one cup of water in each can. whst happens to the streams of water now? d. try the same experiment, but the time put one cup of water in each can. whst happens to the streams of water now? d. try the same experiment but this time fill the cans to thw top. what happens to the streams of water? ANSWER ALL PARTS
The water present in the middle doesn't experience pressure as much as that experienced by water at the bottom. Pressure is more at bottom surface hence fluids flow from higher pressure to lower pressure. This is why the water rushes out from the bottom hole much faster than from the upper hole
A rollercoaster loop has a radius of 22.7 m. what is the minimum speed the coaster must have at the top of the loop to not fall off the track? (unit = m/s)
Answer:
v = 14.92 m/s
Explanation:
First, make a free body diagram and see the forces in the y-direction.
∑F_y = F_N - F_gUse Newton's 2nd Law F = ma to replace ∑F_y with m * a_y.
m * a_y = F_N - F_gThe acceleration in the y-direction is the centripetal acceleration, a_c = v^2/r.
m * v^2/r = F_N - mgThe normal force is 0 because this is where the rollercoaster is not falling off the track yet not touching the track.
m * v^2/r = - mgThe masses cancel out.
v^2/r = -gSolve for v to find the speed of the rollercoaster at the top of the loop.
v^2 = -(-9.81) * r v = √(9.81 * 22.7)v = 14.9227The minimum speed the coaster must have at the top of the loop to not fall off the track is 14.92 m/s.
The _____ acceleration is deceleration
Answer:
hello.
Negative acceleration is also called deceleration.
Explanation:
If the velocity of the object does not change with time, it has zero acceleration.
3. In the formula F = −kx , what does the minus sign indicate?
It indicates that the restoring force is in the direction of the displacement.
It indicates that the restoring force is in the direction opposite the displacement.
It indicates that mechanical energy in the system decreases when a system undergoes oscillation.
None of the above
Please show all of your work.
In the formula F = −kx , what does the minus sign indicate?
Solution: It indicates that the restoring force is in the direction opposite the displacement.
====================================================
k is the force constantF is the restoring force.negative sign represents the restoring force.x is the displacementAnswer:
It indicates that the restoring force is in the direction opposite the displacement.
Explanation:
I had an explanation but, my acc got deleted and yeah, uhm the explanation is dead now, I know this is correct though!
~Kandy~
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Hello people~
help me with this question ^^
An electroscope is a device which is used to find if an object is
(a) charged
(b) magnetic
(c) free of cracks
(d) hot
Answer:
Charged
Explanation:
Look at a example below
You took a pen Rubbed it on your hair fastly for 2 mins If you took that rubbed part towards paper ,both will be attracted and joined for some while.Scientists observed a rocky, rotating object orbiting in space. It was 250 km wide. The rocky object was located several times farther away from the sun than the earth
The rocky object orbiting in space is most likely referred to as an asteroid.
What is an Asteroid?This is referred to a rocky object which revolve around the sun and are considered too small to be called a planet.
Asteroids was observed with the use of a telescope and is around 250 km wide thereby making it the most appropriate choice.
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Which letter explains why no machine is 100 percent efficient.
A.Mechanical energy is transformed into thermal energy by friction.
B.Mechanical energy is transformed into electrical energy by a spark.
C.Thermal energy is transformed into mechanical energy by friction.
Answer:
A
Explanation:
Think about rubbing your hands together- the friciton produces heat
Hello people ~
The frequency of subsonic sound is
(a) more than 20 Hz
(b) 100 Hz
(c) less than 20 Hz
(d) more than 20,000 Hz
less than 20 Hz
The frequency of subsonic sound is less than 20 Hz
subsonic sound refers to a sound which has a wave that travels slower than the speed of sound.
frequency of audible sound: 20 Hz to 20,000 HzThus subsonic sound < 20 Hz
Answer:
less than 20Hz
Explanation:
Human ears can hear sounds coming in range of 20Hz to 20000Hz or 20kHz.Low or beneath is not audible.Bats can hear below 20Hz ,so they use this to travel in air
What is stated in the 1st Law of Motion?
Answer:
Newton's first law: the law of inertia
Newton's first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.
Explanation:
Anything aka if a body is at constant speed in a straight line it would probably remain or keep moving in a straight line unless something slows it down like Fricton.
Who discovered the basic laws of planetary orbits?.
Answer:
Johannes Kepler
A 50 kg object moving at 15 m/s collides with another 50 kg object moving in the same direction at 10 m/s. If the collision is inelastic, what is the final velocity of the two objects after they combine?
Answer:
12.5 m/s
Explanation:
By conservation of momentum, we have that:
[tex]\displaystyle m_1v_1 + m_2v_2 = m_1v_1' + m_2v_2'[/tex]
Because the two objects combine after collision, they will have the same velocity:
[tex]\displaystyle m_1v_1 + m_2v_2 = (m_1+m_2)v_f[/tex]
Substitute and solve for final velocity:
[tex]\displaystyle \begin{aligned} (50 \text{ kg})(15\text{ m/s}) + (50\text{ kg})(10\text{ m/s}) & = ((50+50)\text{ kg})v_f \\ \\ v_f & = 12.5\text{ m/s}\end{aligned}[/tex]
In conclusion, the final velocity of the system will be 12.5 m/s.
The diagram above shows a ballistic pendulum. A 10 g bullet is fired into the suspended 2 kg block of wood and
remains embedded inside it (a perfectly inelastic collision). After the impact of the bullet, the block swings up to a
maximum height h. If the initial speed of the bullet was 35 m/s:
A.) What was the momentum of the bullet before the collision?
B.) What was the kinetic energy of the bullet before the collision?
C.) What was the velocity of the bullet-block system just after the collision?
D.) What was the total kinetic energy of the bullet-block system after the collision?
E.) What is the maximum possible potential energy of the bullet-block system when it reaches its maximum height?
F.) What is the maximum possible height of the bullet-block system?
The kinetic energy of the bullet-block system is equal to the potential energy of the bullet-block system when it reaches its maximum height.
Conservation of Linear momentumAccording to the principle of conservation of linear momentum, momentum before collsion is equal to momentum after collision. Let us now answer the questions individually.
1) The momentum of the bullet before collsion = (0.001 Kg * 35 m/s) = 0.35 Kgms-1
2) The kinetic energy of the bullet before collision = 0.5 * 0.001 * (35 m/s)^2 = 0.6125 J
3) Velocity after collsion is obtained from;
(0.001 Kg * 35 m/s) + (2 kg * 0 m/s) = (0.001 Kg + 2 kg) v
v = 0.35/2.001 =
v=0.1749 m/s
4) Total kinetic energy after collison = 0.5 * (0.001 Kg + 2 kg) * (0.1749 m/s)^2
= 0.031 J
5) The maximum possible potential energy of the bullet-block system when it reaches its maximum height = Total kinetic energy after collison = 0.031 J
6) The maximum possible height of the bullet-block system is obtained from;
PE = mgh
h = 0.031 J/(0.001 Kg + 2 kg) * 9.8 ms-2
h = 0.0015 m or 0.15 cm
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What is the difference between a mechanical wave and a non-mechanical wave?.
Answer:
Mechanical waves are waves that need a medium for propagation. Non-mechanical waves are waves that do not need a medium for propagation.
Explanation:
I hope its helped thank you !! ( don't report my asnwer just delete it ) brainlest pls if u can
What is atmospheric pressure?
What are the conditions necessary for a terrestrial planet to have a strong magnetic field?.
A very long straight wire carries a current i in the z direction
Answer:
what are you calculating put the full question so I can help you out: )
Explanation:
its quite confusing just a little lol
What is the wavelength of a light ray that has a frequency of 7.4 E12 Hz?
The wavelength of the light ray with the given frequency is 4.05 × 10⁴nm.
Given the data in the question;
Frequency of the light ray; [tex]f = 7.4 * 10^{12}Hz[/tex]Wavelength; [tex]\lambda = \ ?[/tex]WavelengthWavelength can be simply defined as the spatial period of a periodic wave. When the shapes of waves are repeated, the distance over which they are repeated is called wavelength. Wavelength is expressed as;
[tex]\lambda = \frac{c}{f}[/tex]
Where [tex]\lambda[/tex] is wavelength, f is frequency and c is speed of light( [tex]c = 3*10^8m/s[/tex] )
We substitute our values into the expression above to determine the wavelength of the light ray.
[tex]\lambda = \frac{c}{f} \\\\\lambda = \frac{3*10^8m/s}{7.4*10^{12}s^{-1}}} \\\\\lambda = \frac{3*10^8ms/s}{7.4*10^{12}}}\\\\\lambda = 4.05*10^{-5}m\\\\\lambda = 4.05*10^{4}nm[/tex]
Therefore, the wavelength of the light ray with the given frequency is 4.05 × 10⁴nm.
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The field found in this problem for a moving charge is the same as the field from a current element of length dl carrying current i provided that the quantity qv is replaced by which quantity?
The magnetic field for a moving charge is the same as the magnetic field from a current element of length, dL, carrying current, I, provided that the quantity qv is replaced by 'IL'.
Magnetic force on charged particleThe magnetic force on a charged particle is determined from the product of the magnetic field strength (B), speed of the charge (v) and magnitude of the charge (q).
The magnitude of the force is caculated using the following formula;
F = qvB
Magnetic force on a current carrying elementThe magnitude of the force is calculated using the following formula,
F = BILsinθ
when the angle of inclination = 90 degreesF = BIL
Where;
B is the magnetic field strengthI is currentL is length of the wireAt equal magnetic force, the magnetic field can be calculated as follows;
B = F/qv = F/IL
Thus, the magnetic field for a moving charge is the same as the magnetic field from a current element of length, dL, carrying current, I, provided that the quantity qv is replaced by 'IL'.
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The moving charge is the same as the field from a current element of length dl carrying current I provided that the quantity qv is replaced by "IL".
What is a magnetic field?It is the type of field where the magnetic force is obtained. With the help of a magnetic field. The magnetic force is obtained it is the field felt around a moving electric charge.
The magnetic force on the charged particle is found as;
[tex]\rm F = qvB[/tex]
The magnetic force on the current-carrying wire is found as;
[tex]\rm F = BIL sin \theta[/tex]
When the angle of inclination is at a right angle;
[tex]\rm F= BIL[/tex]
The magnetic field is;
[tex]\rm B = \frac{F}{qv} \\\\ B= \frac{F }{IL}[/tex]
The moving charge is the same as the field from a current element of length dl carrying current I provided that the quantity qv is replaced by "IL".
Hence the quantity qv is replaced by "IL".
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What does it mean for forces to be in equilibrium?.
Explanation:
If the size and direction of the forces on the object are exactly balanced , then there is no net force acting on the object
Where in their life cycle are stars on the main sequence?.
Answer ,,a main sequence stars burns through the hydrogen in it's core
Explanation:
When the stars go out
Eventually,reaching the end of its life cycle. At this point, it leaves the main sequence. Stars smaller than a quarter the mass of the sun collapse directly into white dwarfs
The cooper family hijacks a UAV (Unmanned Aerial Vehicle). What do you know about UAVs and how they are used today?
Interstellar movie☝️
Interstellar is a movie about the human race being faced with a
civilization ending blight. A small group of brave individuals explore
possible new habitable worlds for humans. The following questions
will help guide you through the movie and hopefully get you
thinking about the future.
1. The Cooper family hijacks a UAV (Unmanned Aerial Vehicle).
What do you know about UAVs and how they are used today?
2. While at the parent-teacher conference, Murphy’s teacher
mentions that the Apollo program -- the same program that
landed humans on the Moon -- was just propaganda to
convince the Soviet Union to bankrupt themselves trying to do
the same. The reason for this was to encourage children to
take care of their own planet, rather than wasting precious
resources day dreaming of leaving it. Which side of the fence
would you sit on? Would you look for ways to save Earth and
our ability to stay there, or would you look to the sky, and find
a new planet to live on? Why?
3. A) What natural disaster(s) is Earth suffering from in the beginning of Interstellar?
B) If one of these happened now what actions would you take to protect yourself?
4. Cooper, Doyle, Romilly, and Dr. Brand (female) rendezvous with the Endurance in orbit around Earth. Once
onboard, they begin to spin the Endurance. Why? (Think about the physics happening here!) Draw a diagram.
5. Why or why isn’t space exploration important for the people in the movie interstellar? Why or why isn’t
space exploration important in today’s society? Defend your answers.
6. Explain time dilation as best as you can.
7. A) Estimate how long Dr. Mann went without human contact while on the ice planet:
The Lazarus mission was __________ years ago. It takes _______ years to get to Saturn from Earth. Cooper
and Dr. Brand were on Miller’s planet for approximately __________ years. This means the total time Dr.
Mann went without human contact is: ___________ years.
B) Consider the longest time away from human contact you've experienced. What did you do to keep yourself
occupied?
Useful Vocabulary
Blight: A specific symptom affecting plants in
response to infection by a pathogenic organism. The
potato famine of Ireland was caused by blight.
Event horizon: Is a point in which not even light can
escape the gravitational influence of the black hole.
Maroon: The intentional action of leaving someone
in a remote area such as an inhabitable island.
Rendezvous: When two objects meet and typically
dock together while in space.
Time dilation: A difference of elapsed time between
two events as measured by observers either moving
relative to each other or differently situated from
gravitational masses.
UAV: Unmanned Aerial Vehicles are remote
controlled or autonomous flying vehicles.
Unmanned aerial vehicles (UAVs) are typically used for a variety of purposes such as:
Monitoring and surveillance.Remote sensingPhotographyDisaster responseWhat is an unmanned aerial vehicle?An unmanned aerial vehicle (UAV) is also referred to as a drone and it can be defined as an aircraft that is designed and developed to be piloted or controlled by a remote control (ground-based controller) and on-board computer systems.
This ultimately implies that, an unmanned aerial vehicle (UAV) is a class of aircrafts that can fly without any human pilot, cabin crew, or passengers on board.
In conclusion, unmanned aerial vehicles (UAVs) carries no human pilot and are typically used for a variety of purposes such as:
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