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A couple of photos are below. | 0 |
Show that a Mach cone must form. | 1 |
If the electrostatic potential energy in part (a) is equivalent to the average particle kinetic energy latex1 , estimate the required temperature if latex2 Referring to the website [embedded] , is your answer consistent with the ITER design parameters? | 1 |
A river discharges into a sea which has a uniform long-shore current of magnitude latex0 . | 0 |
* Crack length and fracture toughness determined in (b). | 0 |
For the following flows discuss if Bernoulli’s equation should apply Flow of water in a long pipe with a Poisueuille flow profile. | 1 |
The electric field of the light is latex1 and the force exerted by the field on the electron (charge latex2 ) is latex3 . | 0 |
Therefore, there must be a height latex15 from which the continuum assumption is no longer valid. | 0 |
The median sediment size is latex2 . | 0 |
Sketch the Otto cycle on a latex8 diagram and on a latex9 diagram. | 1 |
\ Find an expression for the diameter of any section along the nozzle latex3 as a function of the diameter at the throat latex4 and the non-dimensional distance from the throat latex5 . | 1 |
Why is this extra pressure needed? | 1 |
Then: latex8 , so latex9 . | 0 |
This should give you quite a lot of information spread over the domain, allowing you to \`join the dots' and sketch the streamlines in the regions intermediate to the curves too. | 0 |
If latex5 are each known to an accuracy of latex6 and latex4 is exact, find an expression for the resulting accuracy bounds for latex0 when latex9 . | 1 |
Repeat the step in Part (a) for a wall acting as a perfect absorber. | 1 |
An I beam has the following cross-section: depth latex0 , width latex1 , flanges latex2 thick, web latex3 thick. | 0 |
Two astronauts, of mass 75 kg and 150 kg, leave the International Space Station to have a game of tug of war. | 0 |
The block is initially moving at velocity latex1 m latex2 s latex3 . | 0 |
latex4 latex5 latex6 latex7 | 0 |
Tunnels are generally filled with air at temperature, latex3 , and pressure, latex4 . | 0 |
Show by building on your answers in (a) and (b) that the temperature gradient in the atmosphere must be latex12 . | 1 |
If the blunt edge is facing forward instead, what will be the pressure at point B? | 1 |
What are the gross and net calorific values of a fuel? | 1 |
For each of the following vector fields, calculate latex0 and hence deduce which, if any, represent conservative fields. | 1 |
In order to run the turbine at less than full load, the boiler exit steam is throttled to a pressure of latex2 bar before entering the turbine, by means of a well-insulated, partly-closed valve. | 0 |
Convert latex9 and latex10 back to the centre-of-mass frame and hence find latex22 , latex8 and latex24 . | 1 |
For each entry of latex2 , latex4 , compute the corresponding cofactor, and create a new latex0 matrix with each latex4 replaced by its cofactor latex7 . | 1 |
What DC voltage should be applied at point "C" for the DC (i.e time-average) output voltage to be latex3 ? | 1 |
Calculate the rate of heat removal at the cooling coil. | 1 |
In which direction should the gyroscope spin? | 1 |
As schematically shown in the figure below, the velocity field with respect to a Cartesian frame of reference is latex2 U_0=10 latex3 h=10 latex4 \mu=1\times 10^{-3} latex5 \mathrm{kg/(ms)}$, Compute the deformation tensor at any location in the flow field. | 1 |
Add the Carnot cycle to the latex9 diagram you sketched in part (a). | 1 |
If the flow is supersonic, and the fluid enters a diffuser, what happens to the velocity? | 1 |
**(L6):** Consider the latex0 determinant: latex1 | 0 |
In a binary system (i.e base- latex16 system), the list is reduced to just latex14 and latex3 . | 0 |
Consider a steam plant where the condenser pressure is latex0 bar (absolute) and the boiler pressure is latex1 bar (absolute). | 0 |
Show, using the Blasius solution to model the boundary layers, that along the centreline of the wind tunnel latex16 Derive an expression for the pressure gradient on the tunnel centreline, and evaluate it at latex17 , when latex18 , and air density is latex19 . | 1 |
The equation of a spherical wave in three dimensions is latex4 , where latex2 is the displacement vector. | 0 |
Evaluate this time if the initial height latex14 m and the coefficient of restitution latex15 . | 1 |
Show that latex15 . | 1 |
Work out how far she has travelled relative to the lake. | 1 |
Using the dimensions of the crack in question 2.1, where the material now has a yield stress of latex0 : Calculate the size of the plastic zone at the crack tip under **plane stress** conditions. | 1 |
What is the electrostatic potential at each charge in terms of latex3 and latex4 ? | 1 |
To measure the rod length in the moving frame correctly, you must measure both ends at the same time. | 0 |
What is the sum latex7 ? | 1 |
Post-process of the data shows that the mean velocity at that location is equal to zero and the RMS value of the velocity fluctuations is equal to latex5 latex6 for all the velocity components. | 0 |
You may wish to use . | 0 |
Light-weight missions to Mars rely on the use of parachutes deployed at supersonic speeds. | 0 |
Estimate latex4 , the area of the second throat required to choke the flow at section 3. | 0 |
Then: latex2 where we can view latex3 as a filter modifying latex4 . | 0 |
You can treat any acceleration up until the point of reaching maximum speed as uniform and purely dependent on torque about the wheels. | 0 |
The flow downstream of the shock wave in the figure below is turned through a Prandtl-Meyer expansion at C, until it has returned to its original flow direction. | 0 |
Suppose that the same boat subject to the same drag force starts at rest. | 0 |
A sealed, rigid tank of volume latex0 contains an air-water mixture at a pressure of latex1 bar and temperature of latex2 . | 0 |
Calculate the work done by the force and show that this is the same as the kinetic energy gained by the block. | 1 |
The deflection angle is latex2 . | 0 |
Air enters a compressor at latex0 bar, latex1 and is compressed to latex2 bar (all total conditions). | 0 |
The specific version found in mitochondria oxidise ubiquinol ( latex0 ) to ubiquinone ( latex1 ) by removing two electrons (and two protons) and passing them to the next component of the electron transport chain: cytochrome-*c*. | 0 |
\ For Helium, latex4 , latex5 . | 0 |
∅ Watch the video below to aid your understanding of how the system moves. | 1 |
Fuel accounts for latex2 of the mass of the second stage. | 0 |
If latex7 ? | 1 |
The hill is 10 m high, the lake lies 2 m above sea level. | 0 |
The wheel, of radius latex0 and radius of gyration latex1 about its centre, rolls with angular velocity latex2 along a horizontal path towards a step of height latex3 ( latex4 ). | 0 |
In Cartesian coordinates ( latex0 , latex1 ,z) and for a mean flow with velocity components ( latex2 , latex3 , latex4 ) select the equations governing pollutant transport under the conditions that follow. | 1 |
Neglect friction effects. | 0 |
Find the area of the surface obtained by rotating this arch through latex3 about the latex4 - axis. | 1 |
Do we have that latex12 if and only if latex13 ? | 1 |
The angle made by the weight and the tube of the clinometer is latex2 . | 0 |
She walks to the other end of the plank. | 0 |
Calculate the safety factor for the cylindrical part, using both criteria. | 1 |
\[There is an issue with the way this question is evaluated in Lambda that I cannot fix at the moment - please just do this in Excel and compare your data with the model answer - SRC 2023-03-16] Using linear regression on the logged percentage survival against time to find the irradiation time giving the desired one percent survival | 1 |
Using a binomial or Maclaurin expansion, find the constant and latex3 terms in this series. | 1 |
Given that the sound signal is weak, all frequencies within the range of interest should be amplified by a factor of latex2 (or latex3 ). | 0 |
The circular helix expressed in parametric form latex3 and latex4 , from latex5 to latex6 . | 0 |
The function: latex0 has a minimum at the origin. | 0 |
Determine the time domain response of the closed loop system below when subject to a ramp input latex0 (for latex1 ). | 1 |
Optionally you can use the following . | 0 |
See the solutions for a more detailed breakdown of how the form is obtained. | 0 |
In which case you need to approximate the equation. | 1 |
*** In the input box, simply input the surface name: e.g , write 'torus', not 'a torus'. | 1 |
If the stator exit gas velocity is latex2 and the blade speed is latex3 , calculate: The rotor inlet and exit flow angles (relative to the blade). | 1 |
See the solutions for a more detailed breakdown of how the form is obtained. | 0 |
(i.e eliminate latex9 and latex10 from your expression for latex1 ) Compare the values of the two heads. | 1 |
As in the Joule cycle, the compressor and turbine processes are assumed to be adiabatic. | 0 |
(As this enzyme *consumes* NADH, the absorbance *decreases*, so this rate is technically negative, but please give the absolute value, as hat's what you'll need for the rest of the calculations) What was the rate of change of molarity in the cuvette? | 1 |
What colour is that? | 1 |
Given that the Red Bull car can achieve an acceleration of 1.3 latex0 , but only has a max speed of 2.8 m/s, will you beat them off the line into turn 1, a distance of 8m? | 1 |
It collides with a wall whose position is given by the equation latex2 . | 0 |
**(L5)**: A particle of mass latex0 with position vector latex1 relative to origin latex2 experiences a force latex3 , producing a torque latex4 . | 0 |
Verify that latex2 . | 1 |
Assuming elastic-perfectly plastic behaviour, and a yield strength of latex4 . | 0 |
Calculate the angle (in degrees) between latex6 and the normal to the plane defined by latex2 and latex3 . | 1 |
Note for air latex3 What is the pressure of the air at the stagnation point on the nose of the aircraft? | 1 |
The constant of proportionality between latex14 and latex16 is called the decay constant, symbolised latex19 . | 0 |
Show that the final speed of the second stage is equal to latex3 . | 1 |
The stagnation pressure and temperature are latex1 and latex2 . | 0 |
If it lands with speed latex1 , it bounces up with speed latex2 , where the coefficient of restitution latex3 is a positive constant less than 1. | 0 |
In the early days of boundary-layer theory, numerical solutions were not available and polynomial expansions were used as approximate solutions. | 0 |
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