0 stringlengths 10 969 | label int64 0 1 |
|---|---|
Find an estimate of the large-eddies time scale, latex9 . | 1 |
Regarding all properties as stagnation (total) values and the efficiency as the total-to-total value: Calculate the change in the exergy flow rate of the gas stream. | 1 |
Note: the thermal efficiency is greater than that of the Otto cycle of Q(4). | 0 |
The fire hose shown below discharges water at a rate latex0 . | 0 |
Figure 14.6 is replicated below as a reminder. | 0 |
Integrate the total energy falling on the solar panel per day, and compare to the amount that could be received if the panel was tilted during the day so as to always be normal to the flow of solar radiation. | 1 |
(*i.e * combine the two equations and solve for latex12 ). | 1 |
Explain your answer. | 1 |
The two fluids are assumed immiscible and the interface between them is fixed at latex7 . | 0 |
Recall the convolution theorem: Let latex0 be convoluted with latex1 . | 0 |
Using graph paper, draw a space-time diagram for the moving frame and indicate the positions of latex0 , latex1 and latex27 in this diagram. | 1 |
The diagram below shows a circuit for testing components in electronic teaching kits. | 0 |
Remember each input is either high (e.g latex1 ) or low ( latex2 -> ground). | 0 |
Ambient temperature is latex0 . | 0 |
What has gone wrong and why? | 1 |
Explain why latex9 is a function of latex1 only and find an expression for latex11 . | 1 |
What is the lifetime of the moving muon in the Earth's frame? | 1 |
Heat transfer occurs between the reaction mixture and the surroundings. | 0 |
When ripping a CD to disc, it is possible to resample the sound files. | 1 |
Where latex7 is the vector latex8 . | 1 |
Consider the equation latex0 where latex1 is a velocity field that depends on distance from the wall, latex2 , and ( latex3 ) are parameters (constants). | 0 |
* We are interested cases of small viscosity. | 0 |
To find the answer, use the cylindrical coordinate system attached to the rotating tank. | 0 |
Given that the waste has an activity of latex8 (the Becquerel is the SI unit of radioactivity), and that latex0 has a half-life of latex10 , how long would you need to wait until the activity has decayed to just latex11 ? | 1 |
In this question, you may take latex2 m/s latex3 and neglect viscous effects. | 0 |
From a latex0 potentiometer and a latex1 battery you need to build a power source in order to charge it. | 0 |
Find the downstream Mach number latex4 . | 1 |
The sediment size at the river bed is described by latex2 . | 0 |
As it flies along, aerodynamic forces induce shaft bending of latex7 of the mean axial stress. | 0 |
Rank the events from 1 to 5, with 1 occurring the earliest. | 1 |
The reservoir shown in the figure has latex0 m depth of water. | 0 |
Suppose that 7.15 seconds have elapsed between the observation of a lightning and the sound of the thunder. | 0 |
It is believed that on 07-11-1940, the vortex shedding frequency produced by the Tacoma Narrows bridge (USA) matched one the natural frequency of the bridge and led to its dramatic collapse. | 0 |
A rope has a mass per unit length of 1 kg m latex0 and is stretched so that the tension is 1000 N. The rope is shaken at 3 Hz, setting up a sinusoidal wave of amplitude 20 cm. | 0 |
Measurements made during steady-state operation reveal temperatures of latex2 and latex3 at the inner and outer surfaces, respectively. | 0 |
The courses of two ships are described by the equations: latex0 Are the two ships on a crash course? | 1 |
You are tasked with estimating the aircraft speed, based on the picture. | 1 |
The ballistic pendulum is a device for determining the speed of a projectile. | 0 |
** latex4 Calculate the remote (applied) stress on the plate. | 1 |
(In case you thought you had, a reminder that the correct formula is latex23 .) | 0 |
A company wants to make steel switch boxes by folding the four sides ninety degrees along the interrupted lines from the shape shown, which is latex0 thick, with a yield strength of latex1 . | 0 |
The diagram below schematically illustrates a constant pressure chamber setup, where a pressure sensor, which produces a pressure-proportional output voltage between latex0 and latex1 , is used to power an electric motor driving the compressor. | 0 |
Show that the total flux latex3 in spherical polar coordinates over this hemisphere is given by: latex4 Why do you think this the same as the flux through the circle that forms the base of the hemisphere? | 1 |
Consider a generic velocity vector latex0 in a cylindrical frame of reference. | 0 |
Evaluate the same integral using the divergence theorem. | 1 |
Assume the blood's properties are similar to those of water. | 0 |
As explained in the lecture, these cover approximately half of the inner surface of the cylinder, from 0 to 60 degrees, then from 60 to 180 degrees, then from 240 to 300 degrees. | 0 |
Which of the following statements are true after the collision? | 1 |
The energy lost in the exhaust duct from the heat recovery steam generator (HRSG), as a result of the exhaust gas being above ambient temperature, is latex1 of the energy supplied in the gas turbine fuel. | 0 |
Enter latex12 as 'log10(x)'. | 0 |
Bernoulli's equation Flow of water through a pipe with 5 cm diameter at a speed 50 cm/s. | 0 |
** Find the values of latex5 for both the Von Mises and Tresca yield criteria when the cylinder has **its ends fixed to rigid abutments**. | 1 |
A reflection in the latex1 -axis followed by a rotation of latex4 around the latex2 -axis. | 0 |
In the limit latex16 which term in the equation is actually smallest? | 1 |
Using your answer to (a), show that latex8 \[For example we might have for an ideal gas: latex9 .] | 1 |
Let latex10 be a real constant. | 0 |
All gases may be taken to have the properties of air, treated as a perfect gas. | 0 |
What is the relative error between Newton's sound speed for ideal gases and the one obtained in class? | 1 |
Calculate the values of the amplitude ( latex3 ) and phase ( latex4 ) in the steady state. | 1 |
The (complex) wave amplitude emitted by each source is latex10 , so that the total amplitude from all sources is latex11 irrespective of latex1 . | 0 |
You may neglect any changes in potential energy but you may not neglect the change in kinetic energy of the steam in this case. | 0 |
o latex6 Universal gas constant ( latex7 latex8 ) o latex9 Rate of sterically acceptable collisions between particles ( latex10 ) ( latex9 can also be written as latex12 , where latex13 is the rate of collisions and latex14 is a steric factor). | 0 |
As part of another design project, you are tasked with verifying whether a certain engine is suitable for driving the wheels of a lawn mower. | 1 |
Finally, as soon as Lucy and Rick receive Matt's light pulse, they each sent a light pulse back to Matt. | 0 |
Compute the air speed from this actual difference, including any effects of compressibility. | 1 |
Consider the latex0 th roots of a complex number latex1 : latex2 . | 0 |
\[Hint: Which of the independent variables can latex11 not depend upon? | 1 |
Calculate the ratios in parts (a), (b) and (c) for air ( latex7 ) Calculate the ratios in parts (a), (b) and (c) for Helium ( latex8 ) | 1 |
Determine the magnitude and the direction of the heat transfer per kilogram of carbon burnt. | 1 |
Show that a series LR circuit shown below is a Low-Pass filter if the output is the voltage across the resistor. | 1 |
If the coolant is a dielectric liquid for which latex4 , what is the maximum allowable power? | 1 |
Use this to demonstrate that when the maximum temperature is as high as the strength of the turbine materials would allow in a real engine, there is an optimum pressure ratio at which Joule cycle net specific work reaches a maximum. | 1 |
In this case, we write latex15 as a function of latex16 , latex17 . | 0 |
An instantaneous release of contaminant into a still lake from a pipeline, positioned far from the lake bed and free surface. | 0 |
Discuss your answer. | 1 |
The position of the mass as a function of latex1 . | 0 |
The sample is loaded at centre of the beams span. | 0 |
Calculate latex3 . | 1 |
Therefore, counting in this system leads to (if we limit ourselves to just four registries, i.e four bits): latex40 , latex41 , latex42 , latex43 , latex44 , latex45 , latex46 , latex47 , latex48 , latex49 , latex50 . | 0 |
In (b), we have conveniently converted the logistic map (1) into a much simpler map, called the *tent map* (3). | 0 |
**\[Boas 6.8.1]** Evaluate the line integral: latex0 along each of the following paths from latex1 to latex2 : latex3 latex4 from latex5 to latex6 ; then along the straight line joining latex7 to latex2 . | 1 |
latex3 latex4 | 0 |
Find the magnitude of the tensile stresses acting at a point on the two planes making an angle of latex2 to the axis of the rivet. | 1 |
For how long does the concentration exceed latex3 ? | 1 |
A velocity of latex4 in a water stream at latex5 with a convection coefficient of latex6 . | 0 |
The relative flow angle at inlet to the rotor blade row. | 0 |
It has diameter latex1 and a conical nozzle with end diameter latex2 as shown. | 0 |
Consider the function latex0 : latex1 In this question, we will demonstrate that in the limit latex2 : latex3 and thus that the limit of latex4 is the delta function. | 0 |
Find an expression for the change in density with altitude using latex17 for the density at ground level. | 1 |
Calculate the work transfer in the compressor, per latex12 of R134a. | 1 |
The solution to the Blasius equation is at the heart of any engineering calculation applied to a laminar boundary layer. | 0 |
Compute the roughness scale, latex3 . | 1 |
\ latex0 Determine latex1 latex2 Is latex1 positive or negative? | 1 |
Secondary creep strain rate, latex0 , is dependency on stress and temperature may be described by the relationship: latex1 Where latex2 is stress, latex3 is activation energy, latex4 is the Universal Gas Constant, latex5 is temperature in Kelvin, latex6 and latex7 are material constants. | 0 |
As was the case in previous questions, you can assume torque and acceleration are constant. | 0 |
At what position does the potentiometer need to be in order to guarantee operation at latex3 under full load? | 1 |
Select a resistor which, in combination with a latex5 capacitor, will reduce the ripple by latex10 . | 1 |
[In a previous year, students were challenged to work with their tutorial groups to invent new questions to appear on the problem sheets. | 0 |
The time-average operator (denoted by the *overbar*) is given by: latex11 where latex12 is a prescribed instant in time (the same applies to latex1 ). | 0 |
There is no general method for the matching process, but we show one approach here to patch the two solutions together. | 0 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.