Answers
Answer:
a) the maximum shear stress τ[tex]_{max}[/tex] the bar is 16T[tex]_{max}[/tex] /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[tex]_{max}[/tex] = 16T[tex]_{max}[/tex] /πd³
Therefore, the maximum shear stress τ[tex]_{max}[/tex] the bar is 16T[tex]_{max}[/tex] /πd³
(b) Determine the angle of twist between the ends of the bar.
let theta ([tex]\theta[/tex]) be the angle of twist
polar moment of inertia [tex]I_p}[/tex] = 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[tex]\theta[/tex] = T(x)dx / G[tex]I_{p}[/tex]
so
d[tex]\theta[/tex] = tx.dx / G(πd⁴/32)
d[tex]\theta[/tex] = 32tx.dx / πGd⁴
so total angle of twist [tex]\theta[/tex] will be;
[tex]\theta[/tex] = [tex]\int\limits^L_0 \, d\theta[/tex]
[tex]\theta[/tex] = [tex]\int\limits^L_0 \,[/tex] 32tx.dx / πGd⁴
[tex]\theta[/tex] = 32t / πGd⁴ [tex]\int\limits^L_0 \, xdx[/tex]
[tex]\theta[/tex] = 32t / πGd⁴ [ L²/2]
[tex]\theta[/tex] = 16tL² / πGd⁴
Therefore, the angle of twist between the ends of the bar is 16tL² / πGd⁴
Related Questions
1. How long will it take a car to accelerate from 15.2 m/s to 23.5 m/s if the car
has an average acceleration of 3.2 m/s2 ?
Solving for:
Formula:
Substitute known values:
Number answer:
Unit answer
Answers
Answer:
I have no clue I'm really really really really really but like really sorry this is so hard
19273)2
Woman
9272
Orchestra instruments are commonly tuned to match an A-note played by the principal oboe. The Baltimore Symphony Orchestra tunes to an A-note at 440 Hz while the Boston Symphony Orchestra tunes to 442 Hz. If the speed of sound is constant at 343 m/s, find the magnitude of difference between the wavelengths of these two different A-notes. (Enter your answer in m.)
Answers
Answer:
Δλ = 3*10⁻³ m.
Explanation:
At any wave, there exists a fixed relationship between the speed of the wave, the wavelength, and the frequency, as follows:[tex]v = \lambda* f (1)[/tex]
where v is the speed, λ is the wavelength and f is the frequency.
Rearranging terms, we can get λ from the other two parameters, as follows:[tex]\lambda = \frac{v}{f} (2)[/tex]
Since v is constant for sound at 343 m/s, we can find the different wavelengths at different frequencies, as follows:[tex]\lambda_{1} =\frac{v}{f_{1}} = \frac{343m/s}{440(1/s)} = 0.779 m (3)[/tex]
[tex]\lambda_{2} =\frac{v}{f_{2}} = \frac{343m/s}{442(1/s)} = 0.776 m (4)[/tex]
The difference between both wavelengths, is just the difference between (3) and (4):[tex]\Delta \lambda = \lambda_{1} - \lambda_{2} = 0.779 m - 0.776m = 3e-3 m (5)[/tex]
⇒ Δλ = 3*10⁻³ m.
as a person pushes a box across a floor, the energey from the person's moving arm is transfered to the box, and the box and the floor become warm during this processes what happens to energey?
a it is increased
b it is conversed
c it is decreased
d it is created
Answers
B: it is conversed
Someone please please please help me with this. I’ll give u whatever rating u want
Answers
The vertical forces add up to zero.
The net force on the object is 60N to the right.
F = m • a
60N right = (10kg) • (a)
a = (60N right) / (10kg)
a = 6 m/s^2 to the right
Multi-engine Commercial would be nice.
Batteries are usually identified by their voltage.
Which battery would be able to give 18 joules of energy to 12 coulombs of charge?
Question 7 options:
1.5 Volt battery
216 Volt battery
9 Volt battery
12 Volt battery
6 Volt battery
3 Volt battery
Answers
Answer:
Explanation:
Given parameters:
Electrical energy = 18J
Quantity of charge Q = 12C
Unknown:
Voltage = ?
Solution:
The expression of electrical potential energy is given as:
Electrical potential energy = [tex]\frac{1}{2}[/tex] c v²
c is the quantity of charge
v is the voltage
18 = [tex]\frac{1}{2}[/tex] x 12 x v²
18 = 6v²
v² = 3
v = 1.7v
If a 6-kg bowling ball is rolled down the bowling lane with a force of 12 N, what is the acceleration of the ball?
Answers
12N = 6kg * a
And solve for a.
2 m/s/s = a.
The acceleration is 2 m/s^2
1. Two boxes stacked on top of one another weigh 100 kg total. They apply
a friction force of 250N. You apply a force of 300N in the right direction.
What is the total net force and direction of the box?
Answers
Answer:
150
Explanation:
Please answer this question correctly
Answers
20 push ups
hope thats correct^^
Which equation will tell you the acceleration of the object?
Answers
Answer:
In summation, acceleration can be defined as the rate of change of velocity with respect to time and the formula expressing the average velocity of an object can be written as: a =Δ v/ Δt The other 4 equations: d = vit+ (1/2) at2
Explanation:
1) The cause of magnetism is
A. atoms forming “domains” that are arranged randomly
B. atoms forming "domains” that are arranged uniformly
C. atoms forming "dolomites” that are arranged randomly
D. atoms forming “dolomites” that are arranged uniformly
Answers
Answer:
I think it's A, I'm not sure though
If you double the compression of a spring it’s elastic potential energy will do what
Answers
Answer:
When you stretch or compress a spring you work against the restoring force of the spring. This work is stored as elastic potential energy in the spring. The more you stretch or compress the spring, the more work is done by you and more energy is stored.
This is also evident from the expression of the potential energy ( U ) -
U=(1/2)kx2
Where x is the displacement from the unstretched position of the spring. Greater is the x. more is the energy stored.
Why won’t anyone help me please anybody help me I really need help .
Answers
Answer:
1➡️ this is the method of decomposition
2➡️ H2 and O2
3➡️ b
sorry if I am wrong
A man standing on the Earth can exert the same force with his legs as when he is standing on the moon. We know that the mass of the man is the same on the Earth and the moon. We also know that F=ma is true on both the Earth and the moon. Will the man be able to jump higher on the moon than the Earth? Why or why not?
PLEASE HELPPPP
Answers
Answer:
yes
Explanation:
earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity
Earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The force on the moon is less than earth as gravity is 1/6 on the moon
When man jump than he will jump high on the moon than the earth.
Earth has gravity force that is high than the moon gravity force which is 1/6 of earth gravity.
To learn more about force refer to the link:
brainly.com/question/13191643
#SPJ2
What is the kinetic energy of a 30 kg dog that is running at a speed of 8.6 m/s (about 19 mi/h)?
Answers
Answer:
Uhm thags hsed
Explanation:
Dkrr
Trevor is charting the motion of his pet tortoise across the floor. The diagram below shows its position every 60 seconds.
A.The tortoise is moving at a constant speed
B. The tortoise’s speed is decreasing through time
C. The tortoise’s speed is increasing through time
D. The tortoise’s position is not changing through time
Answers
Answer:
A.The tortoise is moving at a constant speed
Explanation:
The chart shows the tortoise covering a distance of 0.5 meters every 60.0 seconds. Since this rate of motion is not changing, the tortoise is moving at a constant speed.
The diagram shows the tortoise moving at a constant speed. Thus the correct option is option A.
What is speed?Speed is defined as how far the object travels. It is also defined as the rate of change of distance per unit of time. Speed is the scalar quantity and the unit of speed is m/s.
Speed is denoted by the letter v. v = s/t, where s is the distance traveled along the path and t is the time taken by the object to move along the path. The SI unit of distance is meter and the unit of time is seconds.
When the object covers an equal distance at equal intervals of time is called uniform speed. When the object covers unequal distance with equal intervals of time or equal distance with unequal intervals of time is called Non-uniform speed.
The graph shows the Tortoise covers 0.5 m in 60 seconds is called uniform speed. Thus, option A is correct.
To learn more about Speed:
https://brainly.com/question/17661499
#SPJ2
An object is experiencing an acceleration of 12 m/s2 while traveling in a circle of radius 5.0 m. What is its velocity?
Answers
Answer:
v = 7.74 m/s
Explanation:
Given that,
The acceleration of the object, a = 12 m/s²
The radius of the circle, r = 5 m
We need to find the velocity of the object. The centripetal acceleration act on the object that is given by :
[tex]a=\dfrac{v^2}{r}\\\\v=\sqrt{ar} \\\\v=\sqrt{12\times 5} \\\\v=7.74\ m/s[/tex]
So, the velocity of the car is 7.74 m/s.
Is altitude abiotic or biotic or neither SCIENCE WORK NEEDED BY 11:59 HELP HELP HLEP
Answers
Answer:
abiotic
Explanation:
goggle:)))))))
Follow these steps to solve this problem: Two identical loudspeakers, speaker 1 and speaker 2, are 2.0 mm apart and are emitting 1700-HzHz sound waves into a room where the speed of sound is 340 m/sm/s . Consider a point 4.0 mm in front of speaker 1, which lies along a line from speaker 1, that is perpendicular to a line between the two speakers. Is this a point of maximum constructive interference, a point of perfect destructive interference, or something in between
Answers
Answer:
The point is neither maximum constructive interference nor perfect destructive interference, the interference is something in between.
Explanation:
Given data in the question;
first we find the wavelength of the sound λ
Then we find the path-length difference to the point from the two speakers, and divide it by the wavelength.
wavelength λ = velocity / frequency = 340 m/s / 1700 Hz = 0.2 m
L1 = 4 m
L2 = √(4² +2² ) m
delta L = L2 - L1 = √(4² +2² ) m - 4 m = 0.472 m
x = deltaL / λ
If the result is nearly an integer, the waves reinforce at the point.
If it is nearly an integer + 0.5, the waves interfere destructively at the point.
If it is neither, the point is "something in between".
so we solve for x
x = 0.472 m / 0.2m
x = 2.36
since its not an integer, it is not point maximum constructive interference
delta L = ( 2x + 1 ).λ/2
x = ((2deltaL/λ) - 1)/2
x = (((2×0.472)/0.2) - 1)/2
x = 3.72 / 2
x = 1.86
Here also, it is not an integer, so it is not a point perfect destructive interference.
Therefore, The point is neither maximum constructive interference nor perfect destructive interference, the interference is something in between.
The floor on a dance hall can take a pressure of 3.5MPa before getting damaged. A lady of mass 60kg wears high heeled shoes. What is the smallest area of the sole of a heel she could wear such that it won't permanently damage the floor
Answers
Answer:
smallest area of the heel is 0.000168 m^2
Explanation:
Recall that pressure is defined as: Force / area. Therefore to reach a pressure of 3,500,000 Pa using a force: m * g = 60 kg * 9,8 m/s^2 = 588 N, one needs:
Area = 588 / 3500000 m^2 = 0.000168 m^2
Calculate the x-component of the electric field at point P due to charge Q1. Write your answer in units of N/C.
Answers
This question is incomplete, the complete question is;
A positive charge of magnitude Q1 = 6.5 nC is located at the origin.
A negative charge Q2 = -3.5 nC is located on the positive x-axis at x = 16.5 cm from the origin. The point P is located y = 10.5 cm above charge Q2.
Calculate the x-component of the electric field at point P due to charge Q1. Write your answer in units of N/C.
Answer:
the x-component of the electric field at point P due to charge Q1 is 1291.33 N/C
Explanation:
Given the data in the question;
Q1 = 6.5 nC, Q2 = -3.5 nC
from the image below, to get our angle ∅
tan∅ = opp/adj
tan∅ = 10.5 / 16.5
tan∅ = 0.636363
∅ = tan⁻¹( 0.636363 )
∅ = 32.47°
also, r1 = √( 16.5² + 10.5²)
r1 = √( 272.25 + 110.25 )
r1 = √382.5
r1 = 19.55 cm = 0.1955 m
Now, the x-component of the electric field at point P due to charge Q1 will be;
Ex = E2cos32.47°
= (kQ1/r1²)cos32.47°
we know that; k is Coulomb's law constant ( 9 × 10⁹ N.m²/ C²
Q1 = 6.5 nC = 6.5 × 10⁻⁹ C
so we substitute
= ((9 × 10⁹ × 6.5 × 10⁻⁹) / (0.1955)²) cos32.47°
= (58.5 / 0.03822025) × 0.843672
= 1291.33 N/C
Therefore, the x-component of the electric field at point P due to charge Q1 is 1291.33 N/C
A car company is doing crash tests and has installed forcesensors in the chairs and seatbelts to measure the forces thatare exerted on crash test dummies during a crash. In oneparticular test the sensors measure a horizontal net force onthe dummy of 39,400 N when the car comes to a complete stopfrom an initial speed of 35 m/s in 1.4 m. Treating the dummyas a point particle and assuming it comes to rest in the samedistance, what is the mass of the test dummy used during thistest
Answers
Answer:
[tex]m=90.1kg[/tex]
Explanation:
From the question we are told that
Force F=39400
Initial speed [tex]V_1=35m/s[/tex]
Distance[tex]d=1.4m[/tex]
Generally the equation for acceleration is mathematically given by
[tex]a=\frac{V^2-U^2}{2d}[/tex]
[tex]a=\frac{0^2-35^2}{21.4}[/tex]
[tex]a=\frac{0^2-35^2}{21.4}[/tex]
[tex]a=-437.5m/sec^2[/tex]
Generally the equation for mass is mathematically given by
[tex]F=ma\\m=F/a[/tex]
[tex]m=\frac{-39400}{-437.5}[/tex]
[tex]m=90.1kg[/tex]
Minimum interplanar spacing required for Bragg's diffraction is:
Answers
Answer:
Explanation:
\frac{\lambda }{2} is the minimum interplanar spacing which is required for Bragg's diffraction to occur.
A 30kg uniform solid cylinder has a radius of 0.18m. if the cylinder accelerates at 0.023 rad/s^2 as it rotates about an axis through its center, how large is the torque acting on the cylinder? With work please
Answers
Answer:
0.011 N-m
Explanation:
Given that
The mass of a solid cylinder, m = 30 kg
The radius of the cylinder, r = 0.18 m
The acceleration of the cylinder, [tex]\alpha =0.023\ rad/s^2[/tex]
It rotates about an axis through its center. We need to find the torque acting on the cylinder. The formula for the torque is given by :
[tex]\tau=I\alpha[/tex]
Where
I is the moment of inertia of the cylinder,
For cylinder,
[tex]I=\dfrac{mr^2}{2}[/tex]
So,
[tex]\tau=\dfrac{mr^2\alpha }{2}\\\\\tau=\dfrac{30\times (0.18)^2\times 0.023 }{2}\\\\\tau=0.011\ N-m[/tex]
So, the required torque on the cylinder is 0.011 N-m.
Chemistry Sem 2
Points Possible: 20
Name: Caleb Peterson
Date:
1. Several solids, liquids, and gases can be found in your home. List three
examples of each. (9 points) Think about where solids, liquids, and gases might
be found in your refrigerator, bathroom, or basement/garage.
Answers
Answer:
Solids - Bricks , wood , Pottery, Bucket
Liquid - Water, soap, Sanitizers.
Gases - Aerosol in Deodorants, Chlorofluorocarbons in Fire extinguishers , Butane in lighters.
A toaster has a resistance of 30 ohms. It draws 2A of current from the outlet. What is the potential difference ?
A. 60v
B. 2v
C. 15v
D.30v
Answers
Answer:
60V
Explanation: . V = IR = 1
30*2=60
1. Since sleep is so important, we might wonder why people so often fail to get a sufficient amount
of sleep. What factors do you think are most important in preventing people from getting enough
sleep?
2. What factors prevent you from getting enough sleep in your own life?
3. How could factors that prevent people from getting enough sleep be addressed? If you were
designing an intervention to promote healthy sleep, what would you try to do?
4. Some careers involve regular sleep deprivation (e.g., flight attendants and jet lag: doctors and
night shifts). How does learning about sleep deprivation change your opinion about these
careers? Should they be regulated in some way, and if so, how?
Answers
Answer: 9/10
Explanation:
because it's really important and makes you energetic
how does different color show exist
Answers
Answer:Light is made up of wavelengths of light, and each wavelength is a particular colour. The colour we see is a result of which wavelengths are reflected back to our eyes. The visible spectrum showing the wavelengths of each of the component colours. The spectrum ranges from dark red at 700 nm to violet at 400 nm.
Explanation:
hope it helps
Answer:When light hits an object, the object reflects some of that light and absorbs the rest of it. Some objects reflect more of a certain wavelength of light than others. That's why you see a certain colour. For example, a lemon reflects mainly yellow light.
Explanation:
Suppose that the air resistance a car encounters is independent of its speed. When the car travels at 15 m/s, its engine delivers 20 hp to its wheels. What is the power delivered to the wheels when the car travels at 30 m/s
Answers
Answer:
22.5 hp
Explanation:
The power delivered to an object is given by :
[tex]P=F\times v[/tex]
Where
F is force and v is velocity of the car.
For the same force, power is directly proportional to the velocity.
So,
[tex]\dfrac{P_1}{P_2}=\dfrac{v_1}{v_2}\\\\P_2=\dfrac{P_1v_2}{v_1}\\\\P_2=\dfrac{15\times 30}{20}\\\\P_2=22.5\ hp[/tex]
So, the new power is 22.5 hp.
Consider a 2 m wide and 5 m long slab resting on flat, fixed, earthen bed. The slab is 20 cm thick with uniform properties. You may assume the slab is much longer and wider than it is thick. Write the reduced form of the governing equation for the slab. Clearly identify your coordinate system on a sketch and state your assumptions identifying which terms you are eliminating and why.
Answers
Answer:
Explanation:
The coordinate sketch for the system is shown in the attached file below. Also, in the cartesian coordinate system, since the height is less than the length and width, we did neglect the height. Thus, we eliminate the height and converted it to a two-dimension.
3. An ecosystem is different from all of
the other groups because it contains
things.
O only living
O only nonliving
O both living and nonliving
Answers
Answer:
I think it is O only nonliving