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What is this expressed in latex20 ? | 1 |
The air above the oil is at rest and considered to be inviscid. | 0 |
Sketch the behaviour of latex4 with respect to latex7 , labelling the value of latex7 for which latex9 , and state how the value of latex7 for which latex9 relates to your answer to the previous question? | 1 |
The collector is fed by an ideal latex4 source. | 0 |
At what time did it start snowing (i.e find latex5 )? | 1 |
Steam enters a turbine at latex0 and latex1 bar, and leaves at latex2 bar (all total conditions). | 0 |
Calculate and describe in words the operations given by: (i) latex2 (ii) latex3 (iii) latex4 For the matrix, latex5 show that there is a combination of elementary operations such that: latex6 where latex7 are elementary matrices adapted from part (a). | 1 |
Based on your results from part d), is linear theory appropriate for this problem? | 1 |
Calculate the matrix product for those combinations that *can* be computed. | 1 |
A Newtonian fluid with density latex9 and viscosity latex10 is contained in the gap between the cylinders. | 0 |
Find the angles latex4 and latex5 that the forward and rearward Mach lines form with respect to their local flow. | 1 |
The plate is latex2 wide and latex3 thick. | 0 |
Muons decay quickly to electrons, with a lifetime of latex0 when they are at rest. | 0 |
Which reference frame measures proper time for the light clock? | 1 |
In such cases, we can assume that latex3 . | 0 |
Evaluate the coefficient of performance latex19 , given that latex20 . | 1 |
A data acquisition card has an input range of latex0 to latex1 with a resolution of latex2 bits. | 0 |
What do you notice about latex14 , and what does that tell you about latex16 ? | 1 |
A fluid flows under shear force A fluid fills its container A fluid deforms indefinitely under shear force A fluid is one of the three states of matter | 0 |
Investigate and discuss with your peers and tutors: What is the standard rate and resolution used to store music digitally on a CD? | 1 |
The wind flows at a speed, latex3 , and the air has density, latex4 , and dynamic viscosity, latex5 . | 0 |
You may interpolate from tabulated values. | 0 |
**Figure (b)**: A snooker cue balancing on its base. | 0 |
Try to identify the relationship between latex4 and which derivative of the function is discontinuous. | 1 |
(Use the Data & Formulae Booklet to find material constants.) | 0 |
When sketching the elliptical orbit, think carefully about the locations of the periapsis (point of closest approach to the focus) and apoapsis (furthest point from the focus) relative to Biff. | 1 |
Critical damping is defined by latex18 . | 0 |
Calculate the bending moment acting at this cross-section. | 1 |
For an input step of amplitude latex0 , determine the steady error for the control system above, when: latex1 is a proportional control. | 1 |
Note that the solution to the homogeneous differential equation (derived in the lectures) decays away as latex7 , so this part is often ignored. | 0 |
In the life sciences we use a spectrophotometer to measure the absorbance of a solution of a coloured solute at a particular wavelength of light. | 0 |
What is the input impedance of this circuit at point "A”? | 1 |
Why is a maximum temperature as large as this acceptable in a reciprocating engine but not in a gas turbine engine? | 1 |
Find the magnitude of latex4 (express your answer as a surd). | 1 |
Is it padded with latex14 or latex3 ? | 1 |
You should therefore find that latex16 Using the same logic, find the time latex17 for the light pulse to return from the mirror to the detector in frame M in terms of latex8 , latex19 , and latex6 . | 1 |
Calculate latex3 and give an interpretation of this quantity. | 1 |
The half-life of a radioisotope, latex30 has a relationship with the decay constant latex19 from above. | 0 |
Sketch the output voltage waveform, latex2 , showing maximum and minimum values, and indicate the approximate DC voltmeter reading, when the component under test is: An open circuit. | 1 |
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 |
If the fluid originates from a large tank with nearly zero velocity and flows vertically downward for its latex3 length, estimate the magnitudes of kinetic and potential energy changes. | 0 |
Now use the fact that the edges of the top plate (the plate at latex2 ) are open to the atmosphere to justify the fact that latex50 should be constant. | 1 |
The substitution latex15 yields an integral of the form: latex16 You may also choose to make the subsitution latex17 in the final integration which leads to the latex18 form of the answer. | 0 |
For the triangle with vertices latex0 , latex1 , and latex2 , and the vector field latex3 , evaluate: latex4 around the triangle, proceeding clockwise as seen from latex5 . | 1 |
Give numerical values for latex10 using latex9 . | 1 |
latex7 , latex8 latex9 , latex10 | 0 |
Using the Blasius solution, estimate the bending moment at the root of the cantilever. | 1 |
Derive the following properties for Fourier transforms. | 1 |
Additional details about the spool are given below: The outer discs forming the spool have diameter latex0 cm. | 0 |
Select all that apply. | 1 |
Evaluate the following limits: latex0 latex1 | 1 |
*(Take the rotation of the motor to be in the positive direction)* | 0 |
The dynamic viscosity latex10 of the liquid depends on the temperature and is assumed to vary linearly across the bath: latex11 where latex12 is a constant parameter. | 0 |
Plot the velocity field (by hand or computer). | 1 |
Design a low pass filter that will reduce the possible aliasing to latex5 of the ADC range. | 1 |
Advection only and in latex0 -direction. | 0 |
Make sure you put a "\*" between items that need to be multiplied together. | 0 |
Parts (a-b) of the question below start with the description of the collision in the centre-of-mass frame and converts everything to the lab frame. | 0 |
Same as (b) but the roller is lowered by latex6 . | 0 |
(ii) the percentage saving in fuel energy (considering fuel consumed on site and in power stations)? | 1 |
What is the relationship between the pressures latex0 and latex1 ? | 1 |
latex10 if and only if latex11 . | 0 |
The Foucault pendulum is a simple experiment to demonstrate Earth's rotation. | 0 |
After a transient period the water in the tank settles into a solid-body rotation, i.e stationary with respect to the tank. | 0 |
The secondary creep rate is latex10 at stresses of latex11 and latex12 and temperatures of latex13 and latex14 , respectively. | 0 |
If you want to store information about all of the motion, how much computer memory would be required? | 1 |
The ambient temperature of the environment surrounding the heat exchanger is latex3 . | 0 |
Sketch this curve. | 1 |
A robot arm with transfer function latex0 is used to perform vision medical check-up of the cornea in the eye. | 0 |
If latex6 and latex7 , determine the natural frequency latex8 and the damping constant latex9 that will result in damping ratio latex10 . | 1 |
Is it consistent with your answer to Q2.1(d)? | 1 |
**Separating controls into prevention and mitigation** In the example of crossing the road, the control measure was to take care, i.e to stop, look and listen. | 0 |
For each of the npn transistors shown below, for which latex0 : 1. | 1 |
What is the probability that the C at position 3 will mutate (to any other base) but that *none* of the other bases in the sequence will mutate? | 1 |
What is the probability of a transversion of any one specific adenine residue in the DNA? | 1 |
Solve the differential equation with the initial condition latex1 . | 1 |
Introduce a complex variable latex8 , where latex9 . | 1 |
In a development plan, a mall is planed to be built extending latex4 perpendicular to the river and latex5 parallel to the river. | 0 |
What is the resolution (mm) of the linear position measurement? | 1 |
How large is the error if you follow the above procedure to calculate the distance to the lightning? | 1 |
Compare you sketch to the answers in the next part. | 1 |
For each of the cases, determine the *deflection of the beam* at the point of application of the load and find the *maximum stress* in the beam after the load has been applied. | 1 |
Give a numerical value in the case of air. | 1 |
Which ones can it depend on?] | 1 |
No pressure gradient is applied in the latex5 direction. | 0 |
Explain your reasoning in detail. | 1 |
Oil flows in the central part of the pipe. | 0 |
Show that the dryness fraction of the steam at the turbine exhaust is latex8 . | 1 |
In order to adjust the buckling temperature, one end mounting can be screwed-in to compress the strip axially. | 0 |
It accelerated until the ammonium perchlorate-based fuel, which burned at a constant rate of latex1 , was exhausted. | 0 |
It is pressurised to latex3 Calculate the safety factor for the hemispherical ends, using both Tresca and Von Mises criteria. | 1 |
The acceleration of an object moving around a circle of radius latex2 at speed latex3 is latex4 . | 0 |
The mole fraction of each component. | 0 |
The velocity latex2 of the plough is given by latex3 where latex4 is a constant. | 0 |
Show that the complex Fourier series of latex2 is given by: latex3 Rewrite the above to a sum from latex4 to latex5 . | 1 |
Determine the following quantities downstream of the continuous latex0 convex corner shown below, with the flow upstream of the corner being at Mach 2: The Mach number, latex1 . | 1 |
(Based on P2.12, White) Give all of your answers as fractions. | 0 |
What is the probability that the C in position 3 of the DNA sequence mentioned above will mutate during one round of replication (assume all possible mutations are equally likely)? | 1 |
** Use the polar representation of complex numbers, latex3 , to obtain the roots: latex4 for latex5 . | 1 |
Indicate which of the dashed lines are oblique shocks and which are P-M expansion fans Use shock-expansion theory to calculate the pressure in region 3 as a fraction of the upstream pressure ( latex2 ). | 1 |
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