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itisarainyday
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ml_classifier_bert_training

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Assuming adiabatic processes: Complete the diagram below by sketching the variation of total temperature, static temperature, total pressure and static pressure through a reaction turbine stage followed by a diffuser.
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As before, give the coordinates of latex1 , latex21 .
1
The beam has an I-section with the dimensions shown below.
0
Derive an expression for the divergence of the velocity field (note the use of spherical coordinates).
1
For the functions below, find the Fourier transform.
1
Find the speed of the ships, latex6 , as they move together.
1
Obtain from first principles the first derivative of latex0 .
1
However, as soon as a living thing dies, it stops incorporating latex3 , and the proportion of latex3 in the dead remains drops over time.
0
(Give 2 significant figures) What will be the Mach number at the second throat once the tunnel is running steadily?
1
Why does food cook more quickly in a pressure cooker than in a conventional, open pan?
1
Which sketch best represents the streamlines?
1
The combustion process can be approximated to a heat addition of 900 kJ/kg.
0
A tank of water is accelerated along a straight, horizontal track with a constant acceleration latex0 where latex1 is the magnitude of acceleration due to gravity.
0
Tests on a model propeller in a wind tunnel at sea level (air density latex0 ) gave the following results for the thrust at a number of forward velocities.
0
*** You are asked to input the nature of the intersection of the planes.
1
Find latex5 .
1
Similarly, the *multiplication* and *division* operations are more advanced counting operations.
0
In general the terms in the series will be proportional to: latex2 in the limit of large latex1 .
0
If latex0 , where latex1 and latex2 are plane polar coordinates, express this equation in terms of Cartesian coordinates latex3 , with latex4 as the subject, and show it is a parabola.
0
The resistor values are latex2 and latex3 .
0
There is no pressure gradient along latex2 .
0
What are the maximum hoop, radial and shear stresses, if the axial stress is zero **when treated as a thick cylinder**.
1
*** Biff decides it might be less dangerous to throw harder (although not hard enough for the rock to escape the asteroid’s gravity altogether).
0
On test the following temperatures (in latex1 ) were recorded: [table] Draw the processes on the psychrometric chart Calculate the mass flow rate of condensate.
1
*PETROL vs DIESEL Engines - An in-depth COMPARISON*.
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Assuming it operates continuously at a fixed pressure and temperature, calculate the maximum pressure that can be applied to the pipe for rupture to be avoided in 20 years.
1
How far apart do you have to be to experience the same force as the weight of the elephant?
1
It currently takes electricity from a network where the power stations have an average electricity generation efficiency of latex3 , and produces heat from onsite boilers with an efficiency (i.e heat output / energy in fuel burned) of latex4 .
0
The medium sediment size is latex2 .
0
Leave your answer as a surd if relevant.
0
Give a numerical value of latex7 for latex8 using latex9 .
1
And what is the frequency of the *Cf* allele ( latex0 )?
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When will latex0 = latex1 ?
1
Assume a two dimensional description as indicated.
0
Implement the solution in part (b) for the velocity profiles from the Wind Tunnel.
0
* (iii) latex15 where latex16 is the energy and latex17 is the energy lost in one period of oscillation.
0
On which two quantities does the efficiency of the ideal Joule (or Brayton) cycle depend?
1
The maximum inversion temperature of helium is latex1 .
0
latex1 is an integral control.
0
The quality factor is latex10 .
0
Show that the rate of change of angular momentum latex8 is equal to the applied torque.
1
Assume that after impact, the train and the moving part of the buffer move together.
0
For the general pressure field latex3 show that the pressure force per unit volume of the fluid equals latex4 .
1
(i) For a Diesel cycle which has the same compression ratio latex4 and the same states at the start and end of the heat rejection process as an Otto cycle, use a latex5 diagram to demonstrate that the Diesel cycle has a lower thermal efficiency than the Otto cycle.
1
Show your working.
1
You should now consider the diesel engine: Start by drawing the P-v and T-s diagrams for this engine.
1
After anchoring itself firmly, Biff throws a small rock sideways, parallel to the ground.
0
Show that the line integral: latex0 of the force latex1 is independent of the path latex2 .
1
Based on the simplifications in part (c), find the value of latex19 when the wind speed is steady.
1
Refrigerators and heat pumps are both examples of reversed heat engines.
0
Hint: Note that the coordinate vectors can be converted using the following formulae: latex8 You might also find the following trigonometric identities useful: latex9 Hence draw the streamlines.
1
Evaluate the same integral by means of the divergence theorem.
1
Calculate the Reynolds number for this flow assuming the dynamic viscosity of water is 0.001 Pa s. Is the flow laminar or turbulent?
1
Although they all have equal areas, the plate at the equator is intercepting latex0 sunbeams, the mid-latitude one 3, and the high latitude one only latex1 .
0
(Based on P3.169, White) A tank is filled with water and is open to the atmosphere, as shown below.
0
The ball neither slips nor rebounds, as pictured below: The ball's radius latex0 and mass latex1 .
0
The change in specific entropy of the mixture.
0
Let the initial temperature the house is heated to by the woodburner be latex4 .
0
Find the lengths of the following curves: The catenary latex0 from latex1 to latex2 .
1
Calculate the heater electrical power input.
1
Determine the values of latex0 and latex1 of the closed loop system below in order to achieve a damping of latex2 and a natural frequency of latex3 .
1
A small disturbance is initiated at one end of the channel and raises the water level by a small amount ( latex0 ).
0
Suppose there is another lengthscale, latex16 , that is relevant near the wall.
0
The diagram shows two concentric cylinders, the inner one of which has radius latex6 and is fixed, while the outer one has radius latex7 and rotates with angular velocity latex8 .
0
The benefit of working with (3) rather than (1) lies in the much simpler form of (3), relative to (1).
0
**Note:** Use e.g latex4 in the response area to denote latex5 .
0
If the yield stress of the material is latex5 at what fraction of the yield stress does fracture occur?
1
At a speed of 5 m/s, what is the Reynolds number at the trailing edge of the plate?
1
**(L11)**: Show that the following three vectors are linearly independent; latex0 Can these vectors be used as a basis set in latex1 ?
1
The specific exergy transfer by heat loss to the surroundings.
0
Divide the following functions up into their even and odd parts: latex0 latex1
1
For the matrix, latex0 Find the eigenvalues and normalised eigenvectors of latex1 .
1
Differentiate these expressions: latex0 latex1 latex2 latex3
1
The relative nozzle velocity of the exhaust gas had a constant value latex2 , and the nozzle exhausted at atmospheric pressure throughout the flight.
0
(ii) Find the spring constant of the bungee cord.
1
Assume elastic-perfectly plastic behaviour, and a yield strength of latex0 .
0
Why is the element volume latex0 at which the continuum volume is valid, larger for blood than water?
1
A Poiseuille flow is irrotational.
0
What is the moment about the hinge?
1
This is because latex7 is produced in the upper atmosphere by cosmic rays at an approximately constant rate, and therefore living things are always consuming latex8 (or consuming food *derived* from that latex8 ) that contains an approximately constant proportion of latex7 .
0
Show that the range measured along the slope is largest when latex1 Given that the shells leave the gun at initial speed latex2 , find the maximum range measured along the slope when latex3 .
1
Since the spore survival shows exponential decay with time, you should now understand that a plot of latex0 versus latex1 will be a straight line.
0
Assuming there is no slip, determine the initial angular acceleration of the car if it does a wheelie.
1
Consider the 2D, steady and laminar boundary-layer which develops on a flat plate in the absence of a pressure gradient.
0
Show that the total mass M of the contaminant in the system is conserved, i.e \~that latex5 (assume that the equation is to be solved on an unbounded domain, or that the flux of contaminant across boundaries is negligible).
1
Bearing in mind that our solution is only valid for small angles, is it easier to balance a cue on its tip or its base?
1
The exergy destruction (or irreversibility).
0
The mass of water which condenses.
0
Given that the human ear has problems resolving frequencies above latex0 what do you think the minimum sampling frequency should be?
1
Using the compositions given in Table 8.4 of the lecture notes, calculate the products and oxygen requirements for stoichiometric combustion of pure oxygen with latex0 of: Oil.
1
The shedding frequency depends on the deck thickness, the bridge length, the wind velocity, the air density latex4 and dynamic viscosity latex5 .
0
Show that the threshold speeds, latex0 and latex1 , at which the nature of the rock’s trajectory changes are given by latex2 where latex3 is the gravitational constant, latex4 is the mass of the asteroid, and latex5 is the radius of the asteroid.
1
In the demonstration flow loop, what is the pressure gradient in the direction of the flow in each section?
1
We know this is true for heat transfer rate latex8 but why is the rate of exergy transfer by heat, latex7 , not an exact differential?
1
(*Challenge*): The sine function can be approximated on the interval latex0 by a second-order polynomial, latex1 , that satisfies latex2 For the interval latex3 the function is just defined as the *odd continuation* of the positive interval.
0
Show that the velocity latex0 of a rocket starting from rest and accelerating against the Earth’s gravity is given by latex1 The exhaust speed is latex2 , the initial mass is latex3 , and the mass after time latex4 is latex5 .
1
And the procedure goes on.
0
The pressure in the tank, where the velocity is negligible, is latex1 , and the temperature is latex2 .
0
Now suppose we can't solve the general equation - as is the case with the N-S equations.
0
It is designed to deliver latex0 of conditioned air.
0