Answer:
a) the maximum shear stress τ\(_{max}\) the bar is 16T\(_{max}\) /πd³
b) the angle of twist between the ends of the bar is 16tL² / πGd⁴
Explanation:
Given the data in the question, as illustrated in the image below;
d is the diameter of the prismatic bar of length AB
t is the intensity of distributed torque
(a) Determine the maximum shear stress tmax in the bar
Maximum Applied torque T_max = tL
we know that;
shear stress τ = 16T/πd³
where d is the diameter
so
τ\(_{max}\) = 16T\(_{max}\) /πd³
Therefore, the maximum shear stress τ\(_{max}\) the bar is 16T\(_{max}\) /πd³
(b) Determine the angle of twist between the ends of the bar.
let theta (\(\theta\)) be the angle of twist
polar moment of inertia \(I_p}\) = πd⁴/32
now from the second image;
lets length dx which is at distance of "x" from "B"
Torque distance x
T(x) = tx
Elemental angle twist = d\(\theta\) = T(x)dx / G\(I_{p}\)
so
d\(\theta\) = tx.dx / G(πd⁴/32)
d\(\theta\) = 32tx.dx / πGd⁴
so total angle of twist \(\theta\) will be;
\(\theta\) = \(\int\limits^L_0 \, d\theta\)
\(\theta\) = \(\int\limits^L_0 \,\) 32tx.dx / πGd⁴
\(\theta\) = 32t / πGd⁴ \(\int\limits^L_0 \, xdx\)
\(\theta\) = 32t / πGd⁴ [ L²/2]
\(\theta\) = 16tL² / πGd⁴
Therefore, the angle of twist between the ends of the bar is 16tL² / πGd⁴
What's the difference between sound waves and pressure waves?
Answer:
Since a sound wave consists of a repeating pattern of high pressure moving through a medium it is sometimes referred to as a pressure wave
Explanation:
Since a sound wave consists of a repeating pattern of high pressure moving through a medium it is sometimes referred to as a pressure wave
Answer:
Sound Waves:A sound wave is a pattern of disturbance caused by the movement of energy.
Pressure Waves:Pressure Waves may refer to one of the two main types of elastic body waves , called seismic waves in seismology.
hope it helps !!~
In hiking, what fitness component is required of you
At some instant and location, the electric field associated with an electromagnetic wave in vacuum has the strength 65.9 V/m. Find the magnetic field strength B, the total energy density u, and the power flow per unit area, all at the same instant and location.
Answer:
B = 2.19*10^-7 T
u = 1.92*10^-18 J/m^3
P = (4pi r^2)cεo E^2
Explanation:
In order to find the magnetic field strength of the electromagnetic wave you use the following formula:
\(B=\frac{E}{c}\) (1)
B: magnitude of the magnetic field
E: magnitude of the electric field = 65.9V/m
c: speed of light = 3*10^8m/s
\(B=\frac{65.9V/m}{3*10^8m/s}=2.19*10^{-7}T\)
The magnitude of the magnetic field 2.19*10^-7 T
The energy density of the electromagnetic wave is:
\(u=\frac{1}{2}\epsilon_oE^2\) (2)
εo: dielectric permittivity = 8.85*10^-12C^2/Nm^2
\(u=\frac{1}{2}(8.85*10^{-12}C^2/Nm^2)(65.9V/m)^2=1.92*10^{-8}\frac{J}{m^3}\)
The energy density of the electromagnetic wave is 1.92*10^-8J/m^3
The power is given by:
\(P=IA=c\epsilon_oE^2(4\pi r^2)\)
A toy car is given an initial velocity of 5.0 m/s and experiences a constant
acceleration of 2.0 m/s/s. What is the final velocity after 6.0 s?
The final velocity after 6.0 s is
1304.2 .
What is velocity?
velocityis the most fundamental quantity of physics . Work is said to be done when a force applied to an object cause a displacement of a object.
Solution -
As per the given-
Mass of runner m = 74kg
initial velocity of runner u=4.8 m/s
final velocity of runner v =0
Coefficient of friction ¥=0.7
Let's d be the distance moved by runner till the stop.
a- mechanical energy lost due to friction
As friction does negetive work causing the runner to stop.
As we know,
Mechanical energy lost= Kinetic energy of runner
Mechanical energy lost =
1/2 mv^2 = 1/2 ×74×4.8^2=852.2
Distance move by runner-
Work done by friction = mechanical energy lost
-¥×mg×d =852.2 j
-0.7×74×9.8×d = -491.2
Solving the equation we get
1304.2.
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ayuden ha resolver este ejercicio porfa
Answer:
un café y a seguir pensando porque no se la respuesta xd
Which electromagnetic wave transfers the least amount of energy?
Answer:
microwave
Explanation:
A peacock is flying around and its velocity v as a function of time
t is given in the graph below where rightwards is the positive velocity direction.
Answer: 3
Explanation:
khan academy
Which property of a substance can be determined using a pH indicator?
O acidity
OB. boiling point
Oc density
OD. electrical conductivity
OE. thermal conductivity
Answer:
Acidity
Explanation:
pH measures how acidic or basic a substance is.
Answer:
a) Acidity
More to know The pH scale is a mixture of indicator which on dissolving indicate whether the substances is acidic in nature or basic . The value between 1 to 7 is acidic The value between 7 to 14 is basic The value 7 is neutralAcids are sour in taste and turn blue litmus ( indicator) to red Base are bitter in taste and turn red litmus to blue. Salts are neutral and obtain by the reaction between acid and bases.Acceleration is defined as ____.
Answer:
change on velocity..........
Answer:
change in velocity
Explanation:
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15. a) The diagram below shows to answer the question that follow show State and explain the effect on the height, h, when the thistle funnel is of the liquids (2 marks) ved upwards towards the surface
When the thistle funnel is moved upwards towards the surface of the liquids, the height (h) decrease.
What happens when the thistle funnel is moved upward?
An important principle outlined by Pascal's law states that any fluid (in this instance, liquids) experiences equal transmission of force in every direction within it. Hence, there is an intimate relationship between the height of a liquid column and its pressure.
Raising a thistle funnel reduces this height causing loss of weight from above this point thus decreasing its pressure.
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See complete question in the attached image.
A car goes around a circular track at 30 m/s. If the radius of the curve is 90 m, what is the period of the car's revolution around the track?
Answer:
18.9s
Explanation:
Using the formula;
ω = v/r
Where;
ω = angular velocity (rad/s)
v = linear velocity (m/s)
r = radius of the circular track (m)
According to the given information, v = 30m/s, r = 90m
ω = v/r
ω = 30/90
ω = 3/9
ω = 0.3333 radians/seconds.
Since ω = 2π/T
Where;
π = 3.142
T = period (s)
ω = angular velocity
0.333 = 2 × 3.142/T
T = 2 × 3.142/0.333
T = 6.284/0.333
T = 18.87s
T = 18.9s
The net force on a box F as a function of the vertical position y is shown below.
What is the work done on the box from y=0 to 6.0m?
The work done on the box from y=0 to 6.0m is 120 J.
To calculate the work done on the box from y=0 to 6.0m, we need to find the area under the force vs. position graph over that interval.
First, we can find the work done from 0 m to 2 m. Since the force is constant at 40 N over this interval, the work done is simply:
W = F * d = 40 N * 2 m = 80 J
From 2 m to 6 m, the force is constant at -20 N, so the work done is:
W = F * d = (-20) N * 4 m = -80 J
Note that the negative sign indicates that the work is done by the box on the force (since the force is in the opposite direction of the displacement).
Therefore, the total work done on the box from y=0 to 6.0m is:
W_total = 80 J - 80 J = 0 J
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The following graph of velocity versus time represents that of an automobile that travels in a straight line. From this graph, one can conclude that:
The true statement is that the acceleration in the first two seconds is 6 m/s^2.
What is acceleration?The term acceleration is defined as the rate of change of velocity with time. The graph as shown is a velocity time graph. The graph shows the changes that occur in the velocity over a given time interval.
Now we have;
Initial velocity = 0 m/s
Final velocity = 12 m/s
Time taken = 2s
Acceleration = 12 - 0/2
= 6 m/s^2
Thus the true statement is that the acceleration in the first two seconds is 6 m/s^2.
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Marta , who is only 5years old , heard her mother use a curse word and is now repeating that word much to the embarrassment of her parents. It was especially upsetting when she used it ik n church! By explaining to Marta that word is not nice and then ignoring her use of the word , her parents are pleased when the word disappeared from her vocabulary. Which concept of learning does this mostly demonstrate?
The rings on all the gas giants are made of ________ and ________
Answer:
Ice and Rock
Explanation:
There's also dust and sand mixed up
can any one help me with this?
where is the mask of the vehicle that has 50,000 N and 25 m/s/s
The vehicle has a 2000kg mass.
briefly? Is the formula for F MA in Newtons?Take a mass's acceleration into account. Use the formula F = m a to determine the force's value. Kilogram-meter/second-squared will be used as the unit of force. The short name for this unit, which is made up of the three basic SI units, is newton.
F= ma
m= F/a
m= 50000/25
m= 2000 kg
What is an easy way to define Newton's second law?According to Newton's Second Law of Motion, acceleration (gaining speed) occurs whenever a force acts on a mass (object). This law of motion is best demonstrated by riding a bicycle. The mass is your bicycle. The force that propels you forward on your bicycle comes from your leg muscles.
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Which trait do you think is most important for a boss or supervisor to have?
Answer:
A high EQ (emotional intelligence)
In today's transitioning workplace, having a high EQ is the most important trait of a good boss. Bosses must be able to discern between their own personal beliefs and the thoughts and beliefs of others, and other generations (boomers, Gen X, xennials, millennials and now Gen Z).
Explanation:
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Derive the expression for the electric field.
Answer:
To derive the expression for electric field due to an electric dipole, consider AB is an electric dipole of two point charges – q and + q separated by small distance 2d and then consider that P is a point along the axial line of the dipole at a distance r from the midpoint O of the electric dipole.
Formula used: E=1/4π∈∘.q/x²
If a radioactive substance has a half-life of 262 years, and I have 2 grams of that substance initially, how much would I have left after 262 years? I
ElectroMagnetic---WaveLength Range (Meters)
Electronegativity, symbol χ, measures the tendency of an atom to attract a shared pair of electrons (or electron density). An atom's electronegativity is affected by both its atomic number and the distance at which its valence electrons reside from the charged nucleus.
A planet exerts a gravitational force of magnitude 4e22 N on a star. If the planet were 3 times closer to the star (that is, if the distance between the star and the planet were 1/3 what is is now), what would be the magnitude of the force on the star due to the planet
Answer:
\(3.6\times10^{23} N\)
Explanation:
\(F=\frac{GmM}{r^2}=4\times10^{22} N\)
\(F'=\frac{GmM}{(r/3)^2}=9\frac{GmM}{r^2}=9\times4\times10^{22}=3.6\times10^{23} N\)
if the planet were 3 times closer to the star, the magnitude of the force on the star due to the planet would be \(\( 3.6 \times 10^{23} \, \text{N} \).\)
The gravitational force between two objects is given by Newton's law of universal gravitation:
\(\[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \]\)
where:
F is the gravitational force between the two objects,
G is the gravitational constant \((\( G \approx 6.67430 \times 10^{-11} \, \text{m}^3/\text{kg}\cdot\text{s}^2 \)),\)
\(\( m_1 \)\) and \(\( m_2 \)\) are the masses of the two objects, and
r is the distance between the centers of the two objects.
Let's assume the planet is \(\( m_1 \)\) and the star is \(\( m_2 \).\)
Given that the original force is \(\( 4 \times 10^{22} \, \text{N} \)\), we have:
\(\[ F_{\text{original}} = 4 \times 10^{22} \, \text{N} \]\)
Let's denote the original distance between the planet and the star as \(\( r_{\text{original}} \).\)
Now, when the planet is 3 times closer to the star, the new distance \((\( r_{\text{new}} \))\) will be \(\( \frac{1}{3} \)\) of the original distance:
\(\[ r_{\text{new}} = \frac{1}{3} \cdot r_{\text{original}} \]\)
To find the new magnitude of the force \((\( F_{\text{new}} \))\) on the star due to the planet, we use the same formula with the new distance:
\(\[ F_{\text{new}} = \frac{G \cdot m_1 \cdot m_2}{r_{\text{new}}^2} \]\)
Substitute \(\( r_{\text{new}} \)\) with \(\( \frac{1}{3} \cdot r_{\text{original}} \):\)
\(\[ F_{\text{new}} = \frac{G \cdot m_1 \cdot m_2}{\left( \frac{1}{3} \cdot r_{\text{original}} \right)^2} \]\)
Simplify the expression:
\(\[ F_{\text{new}} = \frac{G \cdot m_1 \cdot m_2}{\frac{1}{9} \cdot r_{\text{original}}^2} \]\)
Multiply both the numerator and denominator by 9 to get rid of the fraction:
\(\[ F_{\text{new}} = \frac{9 \cdot G \cdot m_1 \cdot m_2}{r_{\text{original}}^2} \]\)
Now, we can see that \(\( F_{\text{new}} \)\) is simply 9 times the original force \(\( F_{\text{original}} \):\)
\(\[ F_{\text{new}} = 9 \times F_{\text{original}} \]\)
Substitute the value of \(\( F_{\text{original}} \):\)
\(\[ F_{\text{new}} = 9 \times 4 \times 10^{22} \, \text{N} \]\[ F_{\text{new}} = 36 \times 10^{22} \, \text{N} \]\[ F_{\text{new}} = 3.6 \times 10^{23} \, \text{N} \]\)
So, if the planet were 3 times closer to the star, the magnitude of the force on the star due to the planet would be \(\( 3.6 \times 10^{23} \, \text{N} \).\)
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measurement of mass and measurement of length
Answer:
measurement of mass means a measure of mass in an object and measurement of length is the distance from one point to another.
Explanation:
i think so lol
A geographer wants to organize data on the changing economies of two
countries. The data show that one country's economy grew rapidly over 10
years, while the other country's economy declined slightly over the same
period.
The best way for the geographer to organize these data would be a
Answer:
line graph. A line graph is the best way to show changes in data over time. The geographer can plot the economic growth of one country as a line going up over the 10 years, and the economic decline of the other country as a line going down slightly over the same period. This will allow for a clear visual comparison of the changes in the economies of the two countries over time.
*
Check all of the things that can affect power
Time
Work
Distance
Force
Answer:
fhddmvxmvydlyghclhchc
I don't know what I'm doing wrong I just can't seem to get the answers right. Help please.
The current and potential difference in the lumped element model of electrical circuits are dealt with by Kirchhoff's circuit laws, which are two equalities. German scientist Gustav Kirchhoff published the first account of them in 1845. This was done before James Clerk Maxwell and generalized Georg Ohm's work.
Because the sum of the currents entering and leaving the junction is equal, Kirchhoff's first law is based on the conservation of charge. The algebraic sum of potential drops in a closed circuit must equal zero, according to Kirchhoff's second law. Therefore, it is based on energy conservation.
A stream of charged particles—such as electrons or ions—moving through a conductor for electricity or into empty space is known as an electric current. It is determined by measuring the net rate of electric charge flow through a surface or into a control volume.
The amount of resistance in an electrical circuit represents the resistance to current flow. The Greek letter omega (Ω), which stands for resistance, represents ohms.
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while on a luge run in the olympics the sled (mass=157 kg) rounds a horziontal curve of radius 5.8m with a speed of 18.5 m/s assuming there is no friction what is the normal force exerted by the track on the sled
In a circular motion the normal force is also called centripetal force. The centripetal force is given by:
\(F=\frac{mv^2}{r}\)where m is the mass, v is the velocity and r is the radius.
Plugging the values given we have:
\(undefined\)
One car is traveling with a speed of 40 miles per hour. A second car is traveling with a speed of 50 miles per hour. They crash into each other. It is a very different accident if they crash into each other head on, or if the faster one hits the slower one from behind. What does this have to do with the word velocity?
Answer:
Velocity is a vector whose magnitude is called speed. Collision study needs to analyse the transfer of momentum, which is another vector quantity associated with the velocity vector of each object
Explanation:
The important concept to recall is that velocity is a vector quantity, which has direction apart from just magnitude (as speed is). So in the transfer of momentum (another vector quantity) that takes place in a collision, it is extremely important to know the direction of the velocity vector, since there is much larger transfer of momentum if the cars collide heads on, than if the cars collide from behind while going in the same direction.
until a train is a safe distance from the station, it must travel at 5 m/s. Once the train is on open track , it can speed up to 45 m/s. If it takes a train 8 seconds to reach 45 m/s, what is the acceleration of the train?
Answer:
5
Explanation:
The figure shows a jet engine suspended beneath the wing of an airplane. The weight of the engine is 14900 N and acts as shown in the figure. In flight the engine produces a thrust of 61500 N that is parallel to the ground. The rotational axis in the figure is perpendicular to the plane of the paper. With respect to this axis, find the magnitude of the torque due to (a) the weight and (b) the thrust.
We have that for the Question, it can be said that With respect to this axis, the magnitude of the torque due to the weight and ,the thrust is
TW=19740N-mTT=130387.39N-mFrom the question we are told
The figure shows a jet engine suspended beneath the wing of an airplane. The weight of the engine is 14900 N and acts as shown in the figure. In flight the engine produces a thrust of 61500 N that is parallel to the ground. The rotational axis in the figure is perpendicular to the plane of the paper. With respect to this axis, find the magnitude of the torque due to (a) the weight and (b) the thrust.
a)
Generally the equation for the Torque due to weight is mathematically given as
\(TW=Engine weight*2.50*sin32\\\\TW=14900*2.50*sin32\)
TW=19740N-m
b)
Generally the equation for the Torque due to thrust is mathematically given as
\(TT=Engine thrust*2.50*cos32\\\\TT=61500*2.50*cos32\\\\\)
TT=130387.39N-m
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