Power in a rotating body like shaft is the product of Torque and the angular speed of that shaft.
P = Tω
The Torque is related to the shearing stress is
T = π/16 xτ(Do³ -Di³)
* Given is the Torque T= 7.5 kN.m, the inner diameter Di = 0.075m, outer diameter Do= 0.1m
Then, the maximum shearing stress will be
7.5 x 10³ = π/16 xτ x (0.1³ - 0.075³)
τ = 66.125 MPa
Thus, the shearing stress is 66.125 MPa.
* From the Torque equation
T/J = Gθ/l
Where, J = π/32 (Do⁴ -Di⁴) = 0.00000671 m⁴
l = length of shaft = 2m, modulus of rigidity G = 80GPa = 80x 10⁹ Pa.
Substitute the values, we get the angle of twist
7.5 x10³ /0.00000671 = 80x 10⁹xθ/2
θ = 0.0279 rad.
Thus, the angle of twist is0.0279 rad.
* Power generated by the shaft is
P = 2πNT/60
where N = revolution/ minute = 200
Put the values, we get
P = 2π x 200 x 7500/60
P = 157 kW.
Thus, the power generated is 157 kW.
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why is it difficult to climb on a mountain through vertical path than a curved path
Answer: For less steep slope, less power is needed by the vehicle. The concept is that it will be easier for one to exert less control and that too for a more extended period. So the roads of the mountains are always made curvy and not straight.
When two surfaces interact, some mechanical energy leaves the system as thermal energy
due to
a) surrounding heat
b) water
c) friction
d) fusion
When two surfaces interact, some mechanical energy leaves the system as thermal energy due to Friction.
What is the direction of a current that experiences the magnetic force shown above
east
south
north
west
Answer: Up
Explanation:
Diffraction gratings with 10,000 lines per centimeter are readily available. Suppose you have one, and you send a beam of white light through it to a screen 2.00 m away. Find the angles for the first-order diffraction of the shortest and longest wavelengths of visible light (380 and 760 nm).
The angles for the first-order diffraction of the shortest and longest wavelengths of visible light are 22.33 ⁰ and 49.46 ⁰ respectively.
Angle for the first order diffractionThe angle for the first order diffraction is calculated as follows;
dsinθ = mλ
sinθ = mλ/d
For shortest wavelength (λ = 380 nm)d = 1/10,000 lines/cm
d = 1 x 10⁻⁴ cm x 10⁻² m/cm = 1 x 10⁻⁶ m/lines
sinθ = (1 x 380 x 10⁻⁹)/(1 x 10⁻⁶)
sinθ = 0.38
θ = sin⁻¹(0.38)
θ = 22.33 ⁰
For longest wavelength (λ = 760 nm)sinθ = (1 x 760 x 10⁻⁹)/(1 x 10⁻⁶)
sinθ = 0.76
θ = sin⁻¹(0.76)
θ = 49.46 ⁰
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i need help with this!!
Answer:
183
Explanation:
Ohm's Law states that Resistance = Voltage / Current, so:
220/1.2 = 183.333
What is the direction of a vector that has the following components: x = -44 m y = -59 m
The direction of a vector that has the following components is 233°.
What is direction of a vector?
The direction of a vector is where its endpoint points. However, when at least one of the characteristics mentioned above is different, we say that the vectors are different.
In this case, this calculus will be:
[tex]tan\theta= \frac{59}{44} \\\theta= tan^{-1}(\frac{59}{44})\\ \theta= 233\°[/tex]
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The vector with components x = -44 m and y = -59 m has a direction of approximately 52.16 degrees counterclockwise from the positive x-axis.
The direction of a vector with components x = -44 m and y = -59 m can be determined using trigonometry. In this case, we have:
x-component (x) = -44 m
y-component (y) = -59 m
We can use the inverse tangent function to find the angle.
The direction angle (θ) can be calculated as:
θ = arctan(y / x)
θ = arctan((-59 m) / (-44 m))
Calculating this expression:
θ ≈ arctan(1.341)
To find the actual angle, we can use a calculator or table to determine the inverse tangent of 1.341.
θ ≈ 52.16 degrees
Therefore, the direction of the vector is approximately 52.16 degrees in the counterclockwise direction from the positive x-axis.
The vector with components x = -44 m and y = -59 m has a direction of approximately 52.16 degrees counterclockwise from the positive x-axis.
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Which piece of furniture will have the most inertia and give the furniture movers the most difficulty in moving?
a 50kg couch
a 5kg dining chair
a 75kg dining table
an 10kg end table
Answer:75 kg
Explanation:
I took the test edge
A source charge of 3 µc generates an electric field of 2.86 × 105 n/c at the location of a test charge. what is the distance, to the nearest hundredth, of the test charge from the source charge?
Hi there!
Recall the equation for the electric field produced by a point charge:
[tex]E = \frac{kQ}{r^2}[/tex]
E = Electric field (2.86 × 10⁵ N/C)
k = Coulomb's Constant (8.99 × 10⁹ Nm²/C²)
Q = Charge (3 × 10⁻⁶ C)
r = distance from center of charge (? m)
Rearrange the equation to solve for 'r'.
[tex]r^2 = \frac{kQ}{E}\\\\r = \sqrt\frac{kQ}{E}}}\\\\r = \sqrt{\frac{(8.99\times10^9)(3\times10^6)}{(2.86\times 10^5)}} = \boxed{0.307 m}[/tex]
Answer:
0.307
Explanation:
edge22
How far must a 2.0-cm-diameter piston be pushed down into one cylinder of a hydraulic lift to raise an 9-cm-diameter piston by 30 cm
The distance the 2.0-cm-diameter piston must be pushed down to raise 9 cm diameter is 607.5 cm.
Distance the piston must be pushed down
The distance the piston must be pushed down is calculated as follows;
A₁d₁ = A₂d₂
πr₁²d₁ = πr₂²d₂
r₁²d₁ = r₂²d₂
(1)²(d₁) = (4.5)²30
d₁ = 607.5 cm
Thus, the distance the 2.0-cm-diameter piston must be pushed down to raise 9 cm diameter is 607.5 cm.
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Can you have curly hair even though your hair is short and soft? (Women)
What is the direction of the acceleration of an object, relative to the direction of its velocity, when that object is speeding up
Answer:
Same direction.
Explanation:
The acceleration in this instance will be in the same direction as the velocity if the velocity is increasing without changing direction .
What would happen to the magnetic field if she connects the battery in the opposite direction? the field would stop. the field would get stronger. the field would reverse its poles. the field would get weaker.
When the battery is connected in the opposite direction : ( C ) The field would reverse its poles.
Effect of reverse battery connection on electric fieldIn an electrical experiment, when the battery used is connected in opposite directions, the electric field would reverse its poles. because the poles of the battery is reversed the electric field will also be reversed in response.
Hence we can conclude that When the battery is connected in the opposite direction : ( C ) The field would reverse its poles.
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Answer:
The answer is c ez
Explanation:
A block glass of mass 187.5g is 5cm long t 2cm thick and 75cm high. calculate the density of the in kg/cm^3
Answer:.00025 or .25 x 10^-3
Explanation:weird units! Density=mass/volume=.1875 kg/(2x75x5).
Suppose you look at the huge clock on the Big Ben Tower in London and it reads 12 noon. If you could travel away from the clock at the speed of light and view it with a telescope, it would
Answer:
Remain at 12 noon - you would be traveling with the wavefront that reads 12 noon:
Also Δt' = Δt / (1 - β^2)^1/2
Where Δt is the proper time interval (at the clock)
Since the denominator is zero the measured time interval is also infinite and the time between "ticks" is infinite
The magnitude of the angular momentum of the two-satellite system is best represented by
The magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.
What is angular momentum.?The rotational analog of linear momentum is angular momentum also known as moment of momentum or rotational momentum.
It is significant in physics because it is a conserved quantity. the total angular momentum of a closed system remains constant. Both the direction and magnitude of angular momentum are conserved.
The magnitude of the angular momentum of the two-satellite system is best represented as;
L=∑mvr
L=m₁v₁r₁-m₂v₂r₂
Hence, the magnitude of the angular momentum of the two-satellite system is best represented as, L=m₁v₁r₁-m₂v₂r₂.
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A screw having 50% efficiency is driven by a rod and 25 cm. The pitch of the screw is 1/10cm Calculate velocity ratio and mechanical advantage of the screw.
(a) The velocity ratio of the screw is 1570.8.
(b) The mechanical advantage of the screw is 785.39.
Velocity ratio of the screw
The velocity ratio of the screw is calculated as follows;
V.R = 2πr/P
where;
P is the pitch = 1/10 cm = 0.1 cm = 0.001 mr is radius = 25 cm = 0.25 mV.R = (2π x 0.25)/(0.001)
V.R = 1570.8
Mechanical advantage of the screwE = MA/VR x 100%
0.5 = MA/1570.8
MA = 785.39
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To 25 percent
d. o 14 to 19 percent
172. what type of assessments are based on repeatable, measurable data?
a. o objective assessments
b. o subjective assessments
c. o body composition assessments
The type of assessments are based on repeatable, measurable data are objective assessments.
What is an assessment?The reason behind an assessment is to achieve a pre determined goal. There are several types of assessment that can be undertaken based on particular need.
The type of assessments are based on repeatable, measurable data are objective assessments.
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a waddling armadillo of mass 500kg moves at 5 m/s. how much kinetic energy does it have?
Answer:
K=6.250 J
Explanation:
m=500kg
v=m/s
Kinetic energy= ½mv²=½(500×25) J= 6.250 J
Question 25 (Mandatory) (1 point)
◄) Listen
Explain the value of being able to disagree respectfully with another person.
A
It's very important for an individual to possess the ability to disagree respectfully with another person because strengthens one's relationships.
What is a conflict?A conflict is any form of disagreement, misunderstanding, or struggle that arises between two (2) or more parties, especially due to any of the following reasons;
Differing opinionsIncompatibilitiesA difficult challengeSuperiorityHowever, it's very important for an individual to possess the ability to disagree respectfully with another person because of the following:
Working through conflicts peacefully.It strengthens one's relationships and understanding of others.It mitigates the chances of physical confrontations and assaults.Read more on conflict here: brainly.com/question/24769299
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Sound waves move the most quickly through which materiel?
A. Water
B. Iron
C. Milk
D. Air
A baseball is thrown horizontally at 55m/s. The ball slows down at a rate of -10 m/s2. How long is the ball in the air before coming to rest?
The time of motion of the ball before coming to rest is determined as 5.5 s.
Time of motion of the ball
The time of motion of the ball before coming to rest is calculated as follows;
v = u + at
when the ball comes to rest, v = 0
0 = u + at
0 = 55 + (-10)t
0 = 55 - 10t
10t = 55
t = 5.5s
Thus, the time of motion of the ball before coming to rest is 5.5 s.
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A proton in a high-energy accelerator is given a kinetic energy of 50.0 GeV. Determine (a) the momentum and (b) the speed of the proton.
(a) The momentum of the proton is determined as 5.17 x 10⁻¹⁸ kgm/s.
(b) The speed of the proton is determined as 3.1 x 10⁹ m/s.
Momentum of the protonThe momentum of the proton is calculated as follows;
K.E = ¹/₂mv²
where;
m is mass of proton = 1.67 x 10⁻²⁷ kgv is speed of the proton = ?Speed of the protonv² = 2K.E/m
v² = (2 x 50 x 10⁹ x 1.602 x 10⁻¹⁹ J)/(1.67 x 10⁻²⁷)
v² = 9.6 x 10¹⁸
v = 3.1 x 10⁹ m/s
Momentum of the protonP = mv = (1.67 x10⁻²⁷ x 3.1 x 10⁹) = 5.17 x 10⁻¹⁸ kgm/s
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Sound waves...
I. travel in a vacuum
II. are invisible
III. move through water
OI and II
O I and III
O I, II, and III
O II and III
Answer:
Option 3
Explanation:
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You tmuc
Sound waves are invisible and can move through the water, therefore the correct answer is option D.
What is a sound wave?It is a particular variety of mechanical waves made up of the disruption brought on by the movements of the energy. In an elastic medium like the air, a sound wave travels through compression and rarefaction.
Sound waves cannot travel in a vacuum, and they are invisible in nature.
While electromagnetic waves are transverse waves, sound waves are longitudinal waves, and the temperature of the medium in which they travel greatly affects the speed of the sound.
The mathematical expression for the speed of the sound in air is given by
v= √γRT
where v is the speed of the sound
R is the ideal gas constant
T is the temperature
γ is the adiabatic index
The speed of sound in air at 0° Celcius is 330 m/s.
Since sound waves can travel through water and are invisible, option D is the appropriate answer.
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What type of chemical reaction is this
Cu + 2AgNO3 → Cu(NO3)2 + 2Ag
Answer:
redox reaction
Explanation:
We have a really confusing question and I would appreciate the help
Q. consider how much each type of energy transfer plays a role in heat loss/insulating a building and why?
Thermal insulation reduces unwanted heat loss and also reduces unwanted heat gain.
What is insulation?Insulation creates a barrier between the hot and the cold object by reducing heat transfer by either reflecting light radiation.
Insulating materials are bad conductors of electricity and heat. So, insulating reduces the heat loss via conduction.
Thermal energy is prevented to increase the temperature of building in summers and decrease in winters. The thermal energy transfer plays vital role in insulating a building.
Thus Thermal insulation reduces unwanted heat loss and also reduces unwanted heat gain.
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After three half-lives have elapsed, the amount of an 8.0 g sample of a radionuclide that
(hint: pizza slices)
a. remains undecayed is 1.0 g
b. has decayed is 7.09
c. remains undecayed is one-third the original amount
d. more than one correct response
e. no correct responsel
After three half-lives have elapsed, the amount of an 8.0 g sample of a radionuclide that remains undecayed is 1.0 g.
What is Half-Life?Half-Life refers to the time it takes for half the amount of a substance to disappear or change.
The nucleus of the atoms of radioactive elements disintegrate to half their starting amounts after every Half-Life.
After three half-lives one-eight of the original atoms remain.
Therefore, after three half-lives have elapsed, the amount of an 8.0 g sample of a radionuclide that remains undecayed is 1.0 g.
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what were two weakness of america government under the articals of confederation did the philadelphia mutiny highlight
The weaknesses of the America government under the articals of confederation in which the Philadelphia mutiny highlighted include:
Inability to regulate commerce.Inability to form a military.What is a Mutiny?This is a rebellious act among group of people in order to oppose a certain authority or government.
The government couldn't give soldiers a good working condition due to lack of funds which led to mutiny.
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Three cars, car x, car y, and car z, begin accelerating from rest, at the same time. car x is more massive than car y, which is more massive than car z. the net force exerted on each car is identical. after 10 seconds, which car has the most amount of momentum?
When the net force exerted on each car is identical. after 10 seconds, the amount of momentum is same for all cars.
What is impulse?The change in momentum is equal to the product of impact force applied while colliding and time for that impact.
F. t = m (Vf -Vi)
where, Vf is the final velocity and Vi is the initial velocity.
For car X, Fx x t = Mx Vx
For car Y, Fy x t = My Vy
For car Z, Fz x t = Mz Vz
The force applied is same for all and the the time is also same equal to 10 seconds. The impulse is same for all the cars.
Thus, the three cars have same momentum.
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The diagram shows an incomplete scale drawing to find the resultant of two 10N forces acting at a point in the direction shown
The resultant of the two 10N forces acting at a point in the given direction is the single force which will have the same effect as all the forces acting at that point.
What is the resultant of forces?The resultant of two or more forces is that single force which will have the same effect as all the forces acting at that point in a given direction.
Since forces are vector quantities, the resultant force is obtained by vector addition.
The direction of the forces are also obtained.
Therefore, the resultant of the two 10N forces acting at a point in the given direction is the single force which will have the same effect as all the forces acting at that point.
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In which stage of life will the sun undergo the most change?.