Arm ab has a constant angular velocity of 16 rad/s counterclockwise. At the instant when theta = 60
Answers
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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Related Questions
If the two blocks are touching, what will happen to the thermal energy in this system?
Answers
Explanation:
What are the integers between -4 and +4?
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?
Answers
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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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
Answers
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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Which trait shared by dolphins and bats possibly lead to the evolution of echolocation in these two animal groups? the need to move quickly through dark environments the need to be able to send sound waves through the air the need to be able to send sound waves through the water the need to communicate with other species through echolocation.
Answers
A trait shared by dolphins and bats will be the need to move quickly through dark environments.
What is the evolution of echolocation?Our understanding of the evolution of echolocation in bats has shifted as a result of recent molecular phylogenies. These phylogenies imply that bats with advanced echolocation
According to one interpretation of these trees, laryngeal echolocation originated in the ancestor of all living bats. Echolocation may have been lost in Old World fruit bats
The vast adaptive radiation in echolocation call design is substantially controlled by ecology, demonstrating how environmental perceptual problems influence call design.
A trait shared by dolphins and bats that possibly led to the evolution of echolocation in these two animal groups will be the need to move quickly through dark environments.
Hence option A is correct.
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Answer:
D
Explanation:
What best describes the motion of the medium particles in a longitudinal wave? The medium does not move. The medium moves in all directions. The medium vibrates as it moves in a circular path around the wave. The medium vibrates parallel to the direction of the wave.
Answers
In the motion of the medium particles in a longitudinal wave, the medium vibrates parallel to the direction of the wave.
What is a longitudinal wave?A longitudinal wave is a wave that is transversing along the length. When the displacement of medium and travel of wave is the same in that condition wave is known as the longitudinal wave.
It requires some medium to travel. A mechanical and sound wave is an example of a longitudinal wave.
Hence in the motion of the medium particles in a longitudinal wave, the medium vibrates parallel to the direction of the wave.
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Answer:
d the medium vibrates parallel to the direction of the wave.
Explanation:
A circuit has a resistance of 2.5 N and is powered by a 12.0 V battery.
The current in the circuit, to the nearest tenth, is what ?
Answers
Current = (voltage) / (resistance)
= (12 V) / (2.5 ohms)
= 4.8 Amperes
Which force counteracts motion whenever two surfaces come into contact?.
Answers
Answer:
crush
Explanation:
because the body come into contact
Which has a greater energy, long wavelength red light or short wavelength uv light?.
Answers
the red lines on this
national weather
service weather map
connect areas of equal
air pressure. what do
meteorologists call
these lines?
a. isobars
b. cold fronts
c. air masses
d. isotherms
Answers
A stationary siren on a firehouse is blaring at 81Hz. Assume the speed of sound to be 343m/s. What is the frequency perceived by a firefighter racing toward the station at 11km/h
Answers
For a stationary siren on a firehouse is blaring at 81Hz. Assume the speed of sound to be 343m/s, the frequency perceived is mathematically given as'
F=81.721Hz
What is the frequency perceived by a firefighter racing toward the station at 11km/h?Generally, the equation for the doppler effect is mathematically given as
[tex]F'=\frac{vs+v}{vs}*f[/tex]
Therefore
F=81(343+3.05556)/343
F=81.721Hz
In conclusion, the frequency is
F=81.721Hz
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A 20 Ohm resistance is connected
across the secondary winding of a
single-phase power transformer
whose secondary voltage is 150 V.
Calculate the primary voltage if the
supply current is 5 A, neglecting
losses.
Answers
Answer: 225 V
Explanation:
Given:
Secondary voltage,V2 = 150v
Resistance is connected across secondary winding,∴R2 = 20Ω
Supply current, ie, I1 = 5A
[tex]\text{Now, secondary current,} \ $I_{2}=\frac{V_{2}}{R_{2}}=\frac{150}{20}=7.5$$$\therefore I_{2}=7.5 \mathrm{~A}$$For Transformers, we have $\frac{N_{2}}{N_{1}}=\frac{V_{2}}{V_{1}}=\frac{I_{1}}{I_{2}}$ so, Taking $\frac{N_{2}}{N_{1}}=\frac{l_{1}}{l_{2}}$ inserting all given \& obtained values, we get $\frac{N_{2}}{N_{1}}=\frac{5}{7.5}$$$\therefore \text { Turns ratio }=\frac{N_{1}}{N_{2}}=\frac{7.5}{5}=\frac{3}{2}=3: 2$$[/tex]
[tex]\text{Again taking,}\frac{N_{1}}{N_{2}}=\frac{V_{2}}{V_{1}}$ \\So, \\$V_{1}=\frac{N_{1}}{N_{2}} V_{2}\\$ inserting all values, we get, $V_{1}=\frac{7.5}{5} * 150=225$\\Therefore, \fbox{Primary voltage, {$V_{1}=225 \mathrm{~V}$}}[/tex]
13. A mass of 1 kg undergoes simple harmonic motion with amplitude of 1 m. If the period of the oscillation is 1 s, calculate the internal energy of the system.
Please show all of your work.
Answers
first we need omega
T=1sHence
[tex]\\ \rm\rightarrowtail \omega=\dfrac{2\pi}{T}=2\pi[/tex]
Now
Total energy:-
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}m\omega ^2A^2[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(1)(2\pi)^2(1)^2[/tex]
[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(4\pi ^2[/tex]
[tex]\\ \rm\rightarrowtail 2\pi ^2[/tex]
[tex]\\ \rm\rightarrowtail 2(3.14)^2[/tex]
[tex]\\ \rm\rightarrowtail 19.72J[/tex]
One square megameter is equal to 1. 0×106 square kilometers. How many square megameters are in 4,000,000 square kilometers?
Answers
Answer:
One has 1E6 km^2 / MM
4E6 km^2 / (1E6 km^2/MM) = 4 MM or 4 megameter
In 4000,000 square kilometers, there are 4 square megameters if the one square megameter is equal to 1. 0×106 square kilometers.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We have:
One square megameter = [tex]1\times10^6[/tex]
Let's suppose the x square megameters in the 4,000,000 square kilometers
Then x can be found as follows:
[tex]\rm x = \frac{4,000,000}{1\times10^6}[/tex]
x = 4 square megamters
Thus, in 4000,000 square kilometers, there are 4 square megameters if the one square megameter is equal to 1. 0×106 square kilometers.
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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.
Answers
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~
hope this helped!
brainliest please!
What two forces propel the acceleration of change in human societies today?
Answers
Answer:
Collective behavior and social movements
Explanation:
Social movements are a collective behavior but are organized efforts and goal driven. It can range from local to national and can even reach globally. Groups that are behind social movements usually want to either create or resist social, political, economic, or cultural change.
The use of fossil fuels such as coal, oil, natural gas, and technical advancements in the contemporary age is driving the acceleration of change in human cultures today.
What are fossil fuels?Fossil fuels are obtained beneath the earth's crust, which is formed due to buried plants and animals. The excessive heat under the earth crust heats the plants and animals.
The use of fossil fuels such as coal, oil, natural gas, and technical advancements in the contemporary age is driving the acceleration of change in human cultures today.
Hence, the use of fossil fuels such as coal, oil, and natural gas, and technical advancements are two forces that propel the acceleration of change in human societies today
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What parts are found in an electric generator? select 4 options. an armature a battery a permanent magnet an electromagnet brushes slip rings
Answers
The parts found in an electric generator for the conversion of electric energy into other forms of energy such as mechanical or chemical energy are an armature, a permanent magnet, an electromagnet brushes, and slip rings.
What is electric generator?
An electric generator is a device that converts motive power into electric power for use in an external circuit.
Parts of electric generators include the following;
an armaturea permanent magnetan electromagnet brushesslip ringsThese parts of electric generator helps in the generation of electricity or conversion of electric energy into mechanical energy or light energy or chemical energy.
Thus, the parts found in an electric generator for the conversion of electric energy into other forms of energy such as mechanical or chemical energy are an armature, a permanent magnet, an electromagnet brushes, and slip rings.
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Answer:
armature
permanent magnet
electromagnet
brushes
slip rings
Explanation:
edge 2022-2023
Photoelectrons are emitted from the surface of a metal when light shines on it. If the wavelength of the light is decreased
Answers
Answer:
what are your answer choices if you have any?
Explanation:
(my ask question thingy isnt working)
Melissa's hair stands up on end after she takes her wool hat off in the winter but not in the summer
Answers
Answer:
Static electricity
Explanation:
A static reaction is transpiring with the surrounding air as well as her hair.
a girl walks 2 meters north 4 meters west and 2 meters south her final displacement is:
Answers
Convert 95°F into degree centigrade.
Answers
35
Explanation:
95 =9/5*x +32
63=9/5x
9x=63*5
x=35
A fighter plane is descending at 30 m/s. The pilot ejects, and the ejector seat accelerates him upwards at 120 m/s2 for 2 seconds. What is his velocity at the end of the 2 seconds?
Answers
Answer:
210m/s upwards
Explanation:
u= -30m /s
a= 120m/s^2
t=2s
v=u+at
=(-30)+(120x2)
=240-30
=210m/s
its about dirve its about power
Answers
Answer:
We stay hugely we devour
Explanation:
It's the rock
When a thermometer is emersed in ice cold water, the Mercury thread is observed to rise before dropping steadily in the capillary tube. Explain
Answers
a woman weighs 580 N . what is her mass?
Answers
Answer:
The mass of woman is 59.18 kg.Given data:Weight of women is, .An object on the surface has its weight such that it is determined by the force of gravity acting on the object. Mathematically, the weight of object is calculated by multiplying the gravitational acceleration with mass of object.Then,Here, m is the mass of woman and g is the gravitational acceleration.Solving as,Thus, the mass of woman is 59.18 kg.
Explanation:
59.18 kg
Hope this helps! :)
A fish swimming at a constant speed of 0.5 m/s suddenly notices a shark
appear behind it. Five seconds later, the fish is swimming in the same
direction at a speed of 3.5 m/s. Calculate the fish's acceleration?
PLEASE HELP <33
Answers
t he fish's acceleration is 0.4m/s².
If the body temperature of a person is recorded as 37°C, what is the person’s body temperature in K? Round your answer to the nearest whole number.If the body temperature of a person is recorded as 37°C, what is the person’s body temperature in K? Round your answer to the nearest whole number.
Answers
K= 310.15
Round to the nearest whole number
310K
Activity 1. Circuit Designer
DIRECTIONS: Draw the corresponding circuit diagram and symbols using the given
number of components. If the diagram is given identify its components.
Please answer this correctly thank you.
Answers
The circuit diagram is a representation of an electric system. It represents the components of the system with symbols. Drawings in the attached file.
What is a circuit diagram?The circuit diagram is an electrical circuit representation, including the sequence of electrical components or devices.
These diagrams make use of different symbols to represent the elements in the electrical circuit and make clear the connections to one another.
Some of the components composing the electrical circuits are
Single electric cell ⇒ It is represented with two perpendicular lines. The larger line indicates the positive terminal, and a shorter line represents the negative terminal.
The battery ⇒ combination of cells. Two or more cells together
NOTE: Some authors represent the battery as a single cell. You should draw your diagrams considering this. In my representations, I will consider a battery as two cells.
Switch ⇒ plug key that allows or stops the current flow. It is represented as two circles and a line between them. If it is open, it is a perpendicular line. If it is closed, it is a horizontal line.Wire ⇒ connection between devices. It is represented as a continuous line.
Bulb ⇒ devise that glows when connected to electricity. It might be represented as a cross in a circle.
The resistor ⇒ regulates the amount of energy provided by the source. It is represented as a zig-zag line or a rectangle.
The ammeter ⇒ measures the current. Represented with an A.
Voltmeter ⇒ It measures the voltage. Represented with a V.
In the attached files, you will find the representations and the components. Please remember that a single battery is represented as two single cells. Make changes in your drawings if necessary.
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The term group polarization refers to the tendency for.
Answers
Polarization refers to the tendency for acquiring specific orientation by the oscillation.
What is polarization?Polarization is a property that specifies the geometrical orientation of the oscillations. In a transverse wave, the direction of the oscillation is perpendicular as compared to other that have parallel.
So we can conclude that Polarization refers to the tendency for acquiring specific orientation by the oscillation.
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A very long straight wire carries a current i in the z direction
Answers
Answer:
what are you calculating put the full question so I can help you out: )
Explanation:
its quite confusing just a little lol
how far does a 1.2g bullet with kinetic energy of 1.2 j go in 2 seconds ?
Answers
Answer:
To calculate the energy in joules, simply enter the mass of ammunition (in grams) that you use, and the fps that you've read from your Chrono unit.