A disk between vertebrae in the spine is subjected to a shearing force causing a 3.34 micrometer of shear deformation, find the stress, taking the disk to be a cylinder with shear modulus of 1×10^9 n/m^2 and 3 cm in height.
Answers
The shear modulus (also known as the modulus of rigidity) relates the shear stress to the shear strain in a material. It is given by:
G = τ/γ
where G is the shear modulus, τ is the shear stress, and γ is the shear strain.
In this problem, we are given the shear deformation, which is a measure of the shear strain. We can use this information to find the shear stress by rearranging the equation for the shear modulus:
τ = Gγ
We are also given the height of the cylinder (which represents the disk), which we can use to calculate the cross-sectional area A of the disk:
A = πr^2
where r is the radius of the disk. Since we are not given the radius, we cannot calculate the stress directly. However, we can use the fact that the volume of the disk is constant to relate the change in height to the change in radius:
h1 = h2
πr1^2 = πr2^2
r2 = sqrt(r1^2 - Δr^2)
where h1 is the original height of the cylinder, h2 is the height after the deformation, r1 is the original radius of the cylinder, r2 is the radius after the deformation, and Δr is the change in radius.
We are given that the shear deformation is 3.34 micrometers (or 3.34 × 10^-6 meters), so:
γ = Δr / h1 = Δr / (3 cm) = 3.34 × 10^-6 / 0.03 = 1.113 × 10^-7
Substituting this value and the given shear modulus into the equation for shear stress, we get:
τ = (1 × 10^9 N/m^2) × (1.113 × 10^-7) = 0.111 N/m^2
Note that this answer is independent of the dimensions of the cylinder, since we used the fact that the volume is constant to relate the change in height to the change in radius.
Related Questions
Two speakers are placed side by side and driven by the same frequency of 0.50 kHz. If the distance from a person to one speaker is 5.0 m and the person detects little or no sound, which of the following is a possible the distance from the person to the other speaker? The sound speed in the room is 340 m/s
Answers
The possible distance from the person to the other speaker is c) 8.1m
To determine the possible distance we first convert the frequency from kHz to Hz as follows;
As 1 kHz = 1000 Hz
Therefore; 0.50 kHz = 0.50 × 1000 = 500 Hz
Now we determine the wavelength as follows;
wavelength = v ÷ f
wavelength = 340 ÷ 500
wavelength = 0.68 meters
Half wavelength = 0.5 × wavelength = 0.5 × 0.68 = 0.34 meters
For the sound interference to be destructive, the second source must be an odd multiple of 1/2 wavelength away from the first, therefore we calculate the possible distance from the person to the other speaker as follows;
distance between the person and speaker + odd multiple of wavelength = possible distance from other speaker
5 m + 0.34 m = 5.34 m
5 m + 3 × 0.34 m = 6.02 m
5 m + 5 × 0.34 m = 6.7 m
5 m + 7 × 0.34 m = 7.38 m
5 m + 9 × 0.34 m = 8.06 m
5 m + 11 × 0.34 m = 8.74 m
The value closest to any options provided above is 8.06 m therefore the correct option is 8.1 m.
Although a part of your question is missing, you might be referring to this question:
Two speakers are placed side by side and driven by the same frequency of 0.50 kHz. If the distance from a person to one speaker is 5.0 m and the person detects little or no sound, which of the following is a possible distance from the person to the other speaker? The sound speed in the room is 340 m/s
a) 8.4 m
b) 9.1 m
c) 8.1 m
d) 7.7 m
To learn more about frequency; click here:
https://brainly.com/question/16962899
#SPJ4
Tarzan swings back and forth on a
vine with a period of 7.27 s. How
long is the vine?
(Unit = m)
Answers
Answer:
Considering Tarzan as a point mass at point L and using the equation for a simple pendulum:
P = 2 pi (L / g)1/2
P^2 = 4 pi^2 L / g
L = g P^2 / (4 pi^2) = 9.8 m/s^2 * 7.27^2 s^2 / (4 pi^2) = 13.1 m
Answer: 13.1
Explanation:
Find the final temperature of 375 grams of tea (c = 4.184 J/g°C) if its initial temperature is 95°C just before it is placed in the refrigerator and loses 137,460 Joules of energy.
Answers
Answer:
the final temperature of the tea is 7.39⁰C.
Explanation:
Given;
mass of the tea, m = 375 g
specific heat capacity of the tea, C = 4.184 JJ/g°C
initial temperature of the tea, t₁ = 95°C
the final temperature of the tea, t₂ = ?
Energy lost by the refrigerator, Q = 137,460 J
The energy lost by the refrigerator is given by the following formula;
-Q = mc(t₂ - t₁)
-137,460 =375 x 4.184(t₂ - 95°C)
-137,460 = 1569(t₂ - 95°C)
\(t_2-95 = \frac{-137,460}{1569} \\\\t_2-95 = -87.61\\\\t_2 = -87.61 + 95\\\\t_2 = 7.39 \ ^0 C\)
Therefore, the final temperature of the tea is 7.39⁰C.
2. a man is riding his bicycle at 8.5 m/s. when a car cuts in front of him, he decelerates
at a rate of -2.8 m/s. how long does it take him to stop? how far has he moved during
that time frame?
Answers
A man who is travelling at 8.5 m/s on his bicycle will slow down to force -2.8 m/s when a car cuts in front of him, stopping in 3 seconds after travelling distance 13 m.
Acceleration in mechanics refers to the rate of change in a moving object's velocity with respect to time. accelerations as a vector quantity (in that they have magnitude and direction). An object's acceleration in relation to a force depends on the magnitude of the net force acting on it.
v = u + at
Inferring from the results, 0 = 8.5 Plus (-2.8)
t = -8.5/-2.8t t = 3.03s 3s
In light of the fact that v2 - u2 = 2 at this time, s = (v2 - u2)/2a s = (02 - (8.5)2)/2 (-2.8)
s = -72.25/-5.6\ss = 12.90 m ~ 13 m
Learn more about force here
https://brainly.com/question/13191643
#SPJ4
PLEASE ANYONE CAN HELP ME !E.x/A block of metal has a volume of 0.09 m3
Calculate the buoyant force when it's Completely
immersed in brine ? density = 1200 kg/m3
Answers
Answer:
B = 1058.4 N
Explanation:
Given that,
The volume of a metal block, V = 0.09 m³
The density of fluid, d = 1200 kg/m³
We need to find the buoyant force when it's Completely immersed in brine. The formula for the buoyant force is given by :
\(B=\rho gV\)
g is acceleration due to gravity
\(B=1200\times 9.8\times 0.09\\\\B=1058.4\ N\)
So, the required buoyant force is 1058.4 N.
Jeremy is a naturally aggressive person. He seems to get into a lot of fights at school because people make him mad very easily. Jeremy joins the wrestling team at his high school so he can direct his aggression in a more appropriate way. What type of stress defense mechanism is this
Answers
The stress defense mechanism that Jeremy is using by joining the wrestling team to direct his aggression in a more appropriate way is known as sublimation.
What is sublimation?
Sublimation is a defense mechanism described in psychoanalytic theory, initially proposed by Sigmund Freud. It involves redirecting or channeling socially unacceptable impulses, such as aggression, into more socially acceptable outlets.
By participating in wrestling, Jeremy is engaging in a physical and competitive activity that allows him to express and release his aggressive tendencies within the context of a controlled and regulated environment.
By channeling his aggression into wrestling, Jeremy may find an outlet for his energy and emotions that is both constructive and socially acceptable. This redirection of his aggressive impulses can help him manage his anger and reduce the likelihood of engaging in harmful or destructive behaviors, such as getting into fights at school.
learn more about Sublimation here:
https://brainly.com/question/31846425
#SPJ4
Hence, the force of gravitation between Earth and Jupiter is 8.16 * 10 N
Enample 5: An apple with the mass of 200 g falls from a tree. What is the acceleration
of the apple towards the earth? What is the acceleration of the earth towards the apple?
(Given: mass of the earth = 6*10kg radius of the earth 6.4 10 m, G=6.67 * 10 " Nm
kg and neglecting height of the tree).
Answers
Answer:
Acceleration of the apple towards the earth is: 9.7705 m/s2.
Acceleration produced on earth towards the apple
\(0.325*10^{-24} \ \ m/s2.\)
Explanation:
Given :
\(m = 200 g\)
We have to convert into the kg ,
so
\(m=0.2 kg\)
M=\(6*10^{24}\) kg
\(R=6.4*10^{6} m\)
\(G= 6.67*10^{-11} \ Nm^{2} kg-2\)
As the gravitational force is existing among the earth and the apple
so
\(F=\frac{GMm}{R^{2} }\)
Putting the value of G,M,m and \(R^{2}\), we get
\(\frac{6.67*10^{-11} *6*10^{24} *0.2 }{(6.4*10^{6} )^{2} } \\\\F= 1.9541\ N\)
Consider a1 and a2 be a acceleration due to the gravitational force of earth attraction created on the apples
F= a1 *m
\(a1\ =\ \frac{F}{m}\)
a1=\(\frac{1.9541}{0.2}\)
\(a1=9.7705 \ m/s2\)
Acceleration of the apple towards the earth is: 9.7705 m/s2.
again
\(F= a2 *M\)
a2=\(\frac{F}{M}\)
\(a2=\frac{ 1.9541}{6**10^{24} } \\a2=0.325* 10^{-24}\ m/s2\)
So, Acceleration produced on earth towards the apple
\(0.325*10^{-24} \ \ m/s2.\)
You wish to obtain a magnification of -2 from a convex lens of focal lengthf. The only possible solution is to.
Answers
The object must be placed at a distance of 2f/3 from the convex lens to obtain a magnification of -2.
How to determine the distance between the object and the lens to achieve the desired magnification?A magnification of -2 indicates that the image formed by the convex lens is two times smaller than the object being viewed and is inverted. This can only be achieved if the object is placed between the focal point and the lens.
To find the distance between the object and the lens, we can use the formula for magnification:
m = -v/u
where m is the magnification, v is the image distance, and u is the object distance.
Since we want a magnification of -2, we can substitute m = -2 and solve for v:
-2 = -v/u
v = 2u
Next, we can use the lens equation to relate the object distance u, the image distance v, and the focal length f:
1/f = 1/u + 1/v
Substituting v = 2u, we get:
1/f = 1/u + 1/2u
Simplifying the right-hand side, we get:
1/f = 3/2u
Solving for u, we get:
u = 2f/3
Therefore, the object must be placed at a distance of 2f/3 from the convex lens to obtain a magnification of -2.
Learn more about lens equation
brainly.com/question/30618134
#SPJ11
what is uterus plese give the answer plese plese
Answers
Answer: the organ in the lower body of a woman or female mammal where offspring are conceived and in which they gestate before birth; the womb.
can't tell if you joking or not but thank you for the points
Using the correct IUPAC nomenclature, what is the correct name, formula,
and classification of a compound that contains two nitrogen atoms and one
oxygen atom?
O A. Mononitrogen dioxide, N20, covalent compound.
B. Nitrogen dioxide, NO2, ionic compound.
O C. Dinitrogen monoxide, N20, covalent compound.
D. Nitrogen oxide, No, ionic compound.
Answers
Answer: C is right
Explanation:
N and O are no-metals and forms covalent bonds.
Usually they need a. Prefix whic tells number of atoms in compound
Why does plasma challenge what we know about matter? How does it confirm what we already know?
Answers
Being made of charged particles, plasmas can do things gases cannot, like conduct electricity. And since moving charges make magnetic fields, plasmas also can have them. In an ordinary gas, all the particles will behave roughly the same way. Auroras, lightning, and welding arcs are also plasmas; plasmas exist in neon and fluorescent tubes, in the crystal structure of metallic solids, and in many other phenomena and objects. The Earth itself is immersed in a tenuous plasma called the solar wind and is surrounded by a dense plasma called the ionosphere.
Plasma is a type of matter in which many electrons freely roam around the nuclei of atoms.
What is plasma?Although plasma is commonly thought of as a subset of gases, the two states behave very differently. Plasmas, like gases, have no definite shape or volume and are denser than solids or liquids.
Plasma is a sort of matter in which numerous electrons freely roam around the nuclei of atoms.
Plasma has been described as the fourth state of matter, alongside solid, liquid, and gas.
Normally, electrons in a solid, liquid, or gaseous sample of matter remain bound to the same nucleus.
Thus, plasma is considered a distinct phase because it does not conform to the standard descriptions and physical laws that are used to describe the standard three states of matter.
For more details regarding states of matter, visit:
https://brainly.com/question/9402776
#SPJ2
Which type.of diversity is being lost as the population of rhinoceros become very small
Answers
I think all Rhino species are being lost plz let me know if I am wrong thank u bro I am glad to help any time.
A(n) __________ is the attribute in the supertype entity that determines to which entity subtype each supertype occurrence is related.
a. subtype discriminator
b. inheritance discriminator
c. specialization hierarchy
d. entity supertype
Answers
A subtype discriminator is the attribute in the supertype entity that determines to which entity subtype each supertype occurrence is related. Option (a) is correct.
The entity supertype is a concept in a database schema that represents a group of entities that share the same attributes or characteristics. A subtype is a subset of entities that possess specific distinguishing characteristics or attributes that are not present in the supertype. A subtype will have at least one different attribute or relationship, apart from all of the characteristics that the supertype contains.
A subtype is a refinement of a supertype entity. An entity type, known as the supertype, has multiple subtypes that can be derived from it. Subtypes may be exclusive (disjoint) or nonexclusive (overlapping). Exclusive subtypes contain nonoverlapping entities, whereas nonexclusive subtypes have overlapping entities.
Supertype and subtype entities can be used in conjunction with the entity-relationship model. A subtype is a distinct entity that has one or more attributes that are specific to it but not present in its supertype. The subtype of an entity is said to be derived from its supertype by extension or specialization.
Therefore, option (a) is correct.
Learn more about supertype: https://brainly.com/question/31140073
#SPJ11
A motorcycle is stopped at a traffic light. When the light turns green the motorcycle accelerates to a speed of 77 km/h over a distance of 50 m.
(a) What was the average acceleration of the motorcycle over this distance?
(b) Assuming the motorcycle maintained a constant acceleration, how far is it from the traffic light after 3.0 s?
Answers
Answer:
good luck
Explanation:
.....................
assume an ideal-offset model with for both diodes. if , , and , find the current through the diode, and the voltage across the diode, .
Answers
In an ideal-offset model for diodes, we assume that the diodes have an infinite resistance in the reverse direction and zero resistance in the forward direction. Using this model, we can calculate the current through and voltage across the diode. If we have and in the forward direction, we can assume that the voltage across the diode is zero. This means that the current through the diode will be determined solely by the resistor value. Therefore, the current through the diode will be .
In the reverse direction, the voltage across the diode will be equal to the voltage across the resistor, which is . Since the diode has an infinite resistance in the reverse direction, no current will flow through it, and the current through the resistor will be zero.To summarize, the current through the diode in the forward direction is , and the voltage across the diode is zero. In the reverse direction, the voltage across the diode is , and no current flows through it.
To know more about diodes visit :-
https://brainly.com/question/31496229
#SPJ11
Which of the following questions could best be answered by the work of warren Washington?
Answers
8. An object accelerates 12.0 m/s2 when a force of 6.0 newtons is applied to it.
What is the mass of the object?
Answers
Answer:♂️
Explanation:
5. There are 15 chairs inside Room 6M. These chairs are exerting force of gravity
towards each other but they are not moving even a single inch towards one
another. They remain in place, not moving. Why is this so?*
Answers
Answer:
nevermind
Explanation:
The rate at which a cricket chirps, R (in chirps per minute), depends on the temperature of its environment, F (in degrees Fahrenheit). For a specific chick species, this relationship can be modeled by the function R(F) 4F-160. a. Determine R¹(P) and interpret its meaning b. Compute R(60) and R¹(60) and interpret the meaning of each. Compute R (60).
Answers
R(F) = 4F - 160
a. R¹(P) represents the temperature at which a cricket chirps at a rate of P chirps per minute.
b. R(60) refers to the chirping rate of the cricket when the temperature is 60 degrees Fahrenheit, while R¹(60) represents the temperature at which the cricket chirps at a rate of 60 chirps per minute.
What is the relationship between temperature and cricket chirping rate?The equation R(F) = 4F - 160 represents the relationship between the temperature of the cricket's environment (F) and its chirping rate (R). By plugging in different temperature values, we can determine the corresponding chirping rate.
For example, when we calculate R(60), we find the chirping rate at 60 degrees Fahrenheit.
In this case, R(60) = 4(60) - 160 = 240 - 160 = 80 chirps per minute.
On the other hand, when we calculate R¹(60), we are looking for the temperature at which the cricket chirps at a rate of 60 chirps per minute. Solving the equation 60 = 4F - 160, we find F = 70 degrees Fahrenheit. Therefore, R¹(60) = 70.
Learn more about chirping rate
brainly.com/question/29017815
#SPJ11
the gravitational attraction between two objects with masses m1 and m2, separated by distance x, is f=gm1m2/x2, where g is the gravitational constant.
Answers
The gravitational force of attraction between bodies is obtained using the Newton's law.
Newton's law of gravity;According to Newton's law of gravity, the gravitational force of attraction between two masses m1 and m2 is proportional to the product of the masses and inversely proportional to the square of the distance (x) between the masses.
Mathematically;
\(F = \frac{G m1m2}{x^{2} }\)
Hence, the gravitational force of attraction between bodies is obtained using the Newton's law.
Learn more about gravity: https://brainly.com/question/1479537
Which describes refraction?
the reflection of light as it passes through a substance
the focusing of light as it passes through a substance
the emission of light as it passes through a substance
the bending of light as it passes through a substance
Answers
Answer:
A
Explanation:
Image result for Which describes refraction? the reflection of light as it passes through a substance the focusing of light as it passes through a substance the emission of light as it passes through a substance the bending of light as it passes through a substance
When electromagnetic radiation, in the form of visible light, travels from one substance or medium into another, the light waves may undergo a phenomenon known as refraction, which is manifested by a bending or change in direction of the light.
A student takes notes in class.
Sound Waves
I. Created by a vibration
A. Vibration: something that causes air molecules to move
back and forth quickly and steadily
II. Move through a medium
A. Solid
B. Liquid
C. Gas
Which line of her notes contains an error?
I
I A
II B
II C
Answers
The wrong statement is that sound waves created vibration Option A.
What are sound waves?Sound is a type of waves that moves in compressions and rare factions. This implies that sound is a mechanical wave. Recall that a mechanical wave is one that requires a material medium for propagation. Now we know that if we set the medium into vibration, that is when the sound waves begins to vibrate. That brings us to the idea that it is the vibration that causes the sound waves and not the sound waves that creates the vibration.
Thus, knowing that sound is a mechanical wave which moves through solids liquids and gas and that the vibration of the source of sound is what causes the air to vibrate, we conclude that the wrong statement is that sound waves created vibration Option A.
Learn more about sound waves:https://brainly.com/question/11797560
#SPJ1
Answer:
a
Explanation:
There are five different types of muscles in exercise physiology.
A.
True
B.
False
Answers
Answer: The answer is B) False
Explanation: There are only three muscle types in the exercise physiology.
Skeletal Muscle
Smooth Muscle
Cardiac Muscle
Cleo stated that light travels through air in straight paths, and when it moves from air to water, light changes direction, speeds up, and bends toward the normal.
Which statement best describes Cleo’s mistake?
A. Light travels through air and water in angled, scattered paths.
B. Light does not change direction when it moves from air into water.
C. Light slows down when it moves from air into water.
D. Light bends away from the normal when it moves from air into water.
Answers
Answer:
light bends away from the normal when it moves from air into water-refraction
Answer: C.) Light slows down when it moves from air into water.
Explanation: i hope this helps :)
HELP PLEASE! DUE TONIGHT! If the wind speed in the top figure increased, what would happen to the plane’s ground speed?
Answers
Answer: Flying into the wind provides more lift, but reduces the plane's “ground speed”, the speed of the plane relative to the ground hope this helps
7. In an airplane crash a woman is holding an 8.18 kg, 18 pound, baby. In the crash the woman experiences a horizontal de-acceleration of 88.2 m/s2. How many g's is this de-acceleration? How much force must the woman exert to hold the baby in place?
Answers
Answer:
721.5 N
Explanation:
F= m X a F=8.18 kg x 88.2 m/s² = 721.5 N
not sure if this is correct just guessing
721.5 N
F= m X F=8.18 kg x 88.2 m/s² = 721.5 N
To reduce the speed slow down and decelerate a car. 2: to decrease the rate of progress of decelerate growth decelerate soil erosion. intransitive verb. : to move at decreasing speed.
What is called deceleration?Deceleration is a slowing down: the unexpected deceleration of your car might mean that you've run out of gas. Use the noun deceleration when you talk about a gradual decrease in speed.
Learn more about deceleration at
https://brainly.com/question/75351
#SPJ2
a contact lens is made of plastic with an index of refraction of 1.50. the lens has an outer radius of curvature of 12.00 cm and an inner radius of curvature of 12.50 cm. what is the focal length of the lens?
Answers
The focal length of the contact lens is 96.15 cm.
To find the focal length of a lens with given radii of curvature and refractive index, we can use the lens maker's formula:
1/f = (n - 1) × (1/R1 - 1/R2)
where f is the focal length, n is the refractive index of the lens material, R1 is the radius of curvature of the first surface (the outer surface in this case), and R2 is the radius of curvature of the second surface (the inner surface in this case).
Plugging in the given values, we get:
1/f = (1.50 - 1) × (1/12.00 - 1/12.50)
Simplifying the right-hand side, we get:
1/f = 0.50 × (-0.0208)
1/f = -0.0104
Multiplying both sides by -1, we get:
1/f = 0.0104
Therefore, the focal length of the lens is:
f = 1/0.0104 = 96.15 cm
for such more question on focal length
https://brainly.com/question/24305458
#SPJ11
A beam of light in air us incident on a glass plate. will the transmitted beam emerge shifted laterally (sideways) from the direction of the incident beam?
Answers
Yes, when a beam of light in the air is incident on a glass plate, the transmitted beam will emerge shifted laterally (sideways) from the direction of the incident beam.
When light travels from one medium to another, such as from air to glass, it undergoes a change in speed and direction due to the difference in refractive indices of the two media. This phenomenon is known as refraction. According to Snell's law, the angle of refraction depends on the angle of incidence and the refractive indices of the two media involved.
In the case of a beam of light incident on a glass plate, the change in direction occurs because light travels at different speeds in air and glass. As the light enters the glass, it slows down and changes its direction. When the transmitted beam emerges from the other side of the glass plate back into the air, it speeds up again and changes direction once more. This change in direction causes the transmitted beam to appear shifted laterally from the direction of the incident beam.
The lateral shift, also known as lateral displacement or transverse shift, is a result of the refraction process and is a characteristic behavior of light when it passes through a transparent medium with a different refractive index.
Find more about incident beam on:
https://brainly.com/question/24007263
#SPJ11
An aircraft has a liftoff speed of 30m/s. What minimum constant acceleration does this require if the aircraft is to be airborne after a takeoff run of 240 m ?
Answers
Answer:
a = 1.875 [m/s²]
Explanation:
The plane begins to move from rest to reach the take-off speed, by means of the following equation of kinematics we can calculate the acceleration.
\(v_{f}^{2} =v_{o}^{2}+2*a*x\\\)
where:
vf = final velocity = 30 [m/s]
vo = initial velocity = 0
a = acceleration [m/s²]
x = distance = 240 [m]
\((30)^{2}=0 +2*a*240\\900=480*a\\a=1.875 [m/s^{2} ]\)
What is the density of a box measuring 100 grams and 10 ml?
Answers
Answer:
In order to convert density to grams, you have to put the mass on one side of the equation, and the density and the volume on the other. Therefore, d * v = m. Multiply the density by the volume. Using the example in step 1, you would multiply 2 g/mL by 4mL.
Explanation:
ok