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The plough travels 2 km in the first hour and 1 km in the second hour. | 0 |
There are numerous blood-groups in humans. | 0 |
By first expressing latex4 as a function latex5 of latex6 and latex7 , calculate latex8 and latex9 | 1 |
Assume contaminant is distributed uniformly through the water column. | 0 |
In one dimension, any force field latex0 that only depends on position can be represented by a potential latex1 defined by latex2 In words: latex1 is minus the work done in moving the particle from the reference position latex4 (where the potential is defined to be zero) to latex5 . | 0 |
**Hint:** You will need to recall latex5 and latex6 . | 0 |
In this part you will find the pressure field latex43 . | 1 |
An electric resistance strain gauge rosette, placed at the section as shown below indicates the following strains: latex5 Use Mohr's strain circle to determine the magnitude and direction of the principal strains at the site of the rosette. | 1 |
A boiler burns natural gas ( latex0 ). | 0 |
The optimum of an enzyme can be modelled using the formula below: latex0 * latex1 Rate constant of the enzyme (how fast it works) [embedded] * latex2 Rate constant at the enzyme's p*H* optimum [embedded] * latex3 Molar concentration of hydrogen ions, $ Using the quotient rule, differentiate the equation above with respect to latex3 . | 1 |
Bacterial mRNAs can have more than one protein-coding region, and therefore more than one start codon. | 0 |
Design a suitable cascade of active filters for an equalizer which will produce the desired effect. | 1 |
The researcher needs enough aliquots for each of the latex3 leaves in their experiment. | 0 |
**\[Boas 6.11.3]** Use Stokes' Theorem to evaluate: latex0 where latex1 and latex2 is the part of the surface latex3 above the latex4 plane. | 1 |
We can express latex1 as: latex7 where latex8 is a complete set of orthonormal functions. | 0 |
**(L7)**: Use Cramer's rule to find the intersection of the planes: latex0 | 1 |
Would this absorb photons of higher or lower wavelength than PS-I, given that the energy difference for its reaction centre is about latex13 ? | 1 |
The picture shows a mechanical accelerometer. | 0 |
Calculate the current flowing through the resistor latex2 . | 1 |
How would the fracture behaviour of the plate vary if the plate’s thickness was: * thicker than this value. | 1 |
In most boilers the water vapour in the flue gas must not be allowed to condense, since condensate can cause corrosion. | 0 |
A fracture toughness test is performed on a 3-point bend (3PB) sample. | 0 |
When the speed of latex0 is latex9 , the belt is suddenly shifted sideways from latex3 onto a pulley latex5 , which is freely mounted onto a shaft coaxial with latex3 . | 1 |
How close is this approximation to the true value of latex9 for latex10 ? | 1 |
Let latex0 and latex1 be the events corresponding to these measurements. | 0 |
What is the value of latex1 needed to sustain the speed within latex2 of the desired value latex3 ? | 1 |
Explain with your own words the meaning of the "Energetic" sediment transport concept. | 1 |
At one point, the Mach number is 1.3. | 0 |
Compute bed-load sediment transport latex5 using the Ribberink (1998) formulation. | 1 |
Carbon on earth consists of a mixture of three isotopes: two stable isotopes — latex0 latex1 and latex2 — and a trace amount of the radioactive isotope latex3 . | 0 |
To find the full solution for latex6 , we need to add this to the solution for the homogeneous differential equation. | 0 |
Which of the following sets of equations represent(s) possible three-dimensional incompressible flow cases?Flow between two plates parallel to the latex0 axis, where one plate is moving parallel to a second plate, which is located at latex1 , latex2 A 'sink' flow in two-dimensions latex3 A 'free vortex' flow latex4 The straining flow given in Set 2: latex5 where latex6 is a constant real number A model of the flow of water around a collapsing cavity whose radius is latex7 , and the velocity is given by latex8 Note that in spherical coordinates divergence is given as latex9 | 1 |
What do you conclude? | 1 |
The first sprocket is already connected to the engine output shaft and has 10 teeth. | 0 |
In that case, since different routes give different answers, the integral cannot be viewed as a function of the end point latex10 and there is no such thing as a potential function latex12 . | 0 |
For what range of values of latex2 would the mass flow rate through the nozzle remain unchanged? | 1 |
Show that the Jacobian for the change from latex3 to latex4 is equal to latex5 . | 1 |
A steel pipe with latex0 internal diameter, wall thickness latex1 , is subjected to an internal pressure of latex2 . | 0 |
Let latex6 as in the lectures. | 0 |
If two events are simultaneous give them the same ranking. | 0 |
However, we could not write an analytical form of the solution and we had to obtain the solution using numerical methods. | 1 |
Consider a sodium atom whose transition angular frequency is latex4 rad s latex5 . | 0 |
For which case will the adiabatic flame temperature be higher? | 1 |
Neglect the dependence of latex6 on height. | 0 |
What is the resulting concentration (in latex3 ) of DNA in the buffer? | 1 |
Write the total fluid stress on the bottom plate as a vector. | 1 |
Find a relationship between the Froude number and the Mach cone angle (insert inverse trig functions as arc\_\_\_). | 1 |
Using the results and assumptions from parts (a) and (b), and assuming that the aircraft designer is concerned with scales of order one meter, is it reasonable to use the continuum model for an airline at 10 km altitude? | 1 |
A symmetrical aerofoil with a rounded leading edge is flying at latex0 at zero incidence and at sea level conditions ( latex1 , latex2 ). | 0 |
Heat transfer between the turbine and its surroundings occurs at an average outer surface temperature of latex6 . | 0 |
Take latex10 , latex11 , latex12 , and latex13 . | 0 |
A pedestrian is waiting at a trafic light as the police car passes by.Sketch the situation as seen from the top. | 1 |
Assume the tidal current latex2 , and that the flow has an eddy diffusivity latex3 . | 0 |
Explain, by drawing a yield locus, why the answers are the same in (a), but different in (b). | 1 |
How many units of enzyme were therefore present in the assay? | 1 |
latex2 latex3 latex4 latex5 | 0 |
Using enthalpies read from the latex11 chart, except at the expansion valve inlet where the usual approximation for subcooled liquid properties should be used, calculate the heat transfer in the evaporator, per latex12 of R134a. | 1 |
At this speed, a latex3 diameter vinyl record weighing latex4 is dropped onto a turntable, slipping for a short period of time.\ *(Optional: See the video below for an explanation of how a record turntable works)* What is the immediate reduction in the speed of the turntable? | 1 |
Let latex14 be the viscous stress tensor. | 0 |
List the boundary conditions at the interface between the two fluids. | 1 |
In the extreme case we could say: latex28 This completes the expression for the inner solution, latex29 To model the whole system, combine (i.e add) the inner and outer solutions, noting that you will need to subtract the value latex30 because otherwise it will have been added twice - once from each solution. | 1 |
A heat engine with latex0 efficiency. | 0 |
Why does your answer in (b) vary from the findings in (a)? | 1 |
Show that for a perfect ideal gas the change in temperature ( latex8 ) is latex9 , where latex10 is the specific heat at constant pressure, latex11 is the specific volume. | 1 |
Consider the parallelepiped defined by the three vectors in latex0 : latex1 . | 0 |
In the manometer shown below, water has a density of latex0 kg/m latex1 , oil has a density of latex2 kg/m latex3 and mercury has a density latex4 kg/m latex1 .The pressure at the centre of the water pipe is latex6 kPa, and the pressure at the centre of the oil pipe is latex7 kPa. | 0 |
The fluid velocity is unidirectional and parallel to the plates, and equals latex6 m/s. | 0 |
A bullet of mass latex5 g is fired into a block of mass latex6 kg and the height rise latex4 is measured to be latex8 cm. | 0 |
The diameters of the inlet and outlet pipes are latex2 9 cm and latex3 3 cm, respectively, whilst the measured pressures are latex4 120 kPa and latex5 400 kPa. | 0 |
The displacement of the air in the tube is described by latex2 The boundary condition that holds at a closed end of the tube is latex3 , whereas the boundary condition at an open end is latex4 . | 0 |
You may assume that the sphere experiences a linear resistive force of latex4 , where latex5 is the linear velocity and a resistive torque of latex6 opposing its rotation, where latex7 is the angular velocity. | 0 |
Calculate the heat transfer in the condenser, per latex12 of R134a. | 1 |
Determine the mass flow rate through the nozzle. | 1 |
If this result is to be used to measure the piston's weight, what would you do to improve the accuracy of the measurement? | 1 |
To test future parachute designs, a Mach 2 supersonic wind tunnel running on pure carbon dioxide needs to be constructed. | 0 |
Find the shortest distance from the origin to the plane. | 1 |
Calculate the drop in voltage across the battery’s internal resistance when the electrical circuit is used to, in addition to the interior lights, power the headlights, which dissipate latex4 at latex5 . | 1 |
Let latex4 equal the concentration of reactant at latex5 . | 0 |
An engine was left running in a large unventilated garage, resulting in a steady-state concentration of carbon monoxide, latex0 . | 0 |
Write down an expression for the path difference latex13 . | 1 |
Apply the divergence theorem to the volume bounded by the surface and the plane latex8 . | 1 |
When the Reynolds number is high, and the cups are relatively far from the shaft latex14 , and the number of cups is fixed, the problem can be reduced to latex15 where the dimensionless function latex16 is unknown and the drag coefficients are defined below. | 1 |
Consider a small cube of fluid with edges latex0 , latex1 and latex2 as shown in the diagram below. | 0 |
For the system shown in the block diagram obtain the transfer function and the differential equation relating latex0 and latex1 (eliminating latex2 ). | 1 |
At a central point in a boiler rivet, the material of the rivet is undergoing a shear stress of latex0 while resisting movement between the boiler plates and a tensile stress of latex1 due to the extension of the rivet. | 0 |
It seems obvious that we can find the inverse Lorentz transformations by swapping the primes and reversing the sign of latex0 (or equivalently latex1 ), that is latex2 becomes latex3 Show this is true by explicitly solving the first set of equations for latex4 and latex5 . | 1 |
Find the value of latex1 when latex7 = latex5 . | 1 |
Using the Blasius solution, estimate the displacement thickness at the tail end of the fin. | 1 |
This equation is designed to resemble the Navier--Stokes equations (so latex4 are viscosity, velocity scale, and length scale, respectively; latex5 is dimensionless and assumed latex6 ). | 0 |
The isentropic total-to-total efficiency is latex3 . | 0 |
Show that an area element on the hyperboloid surface is: latex4 *** **Hint:** Take the point on the surface as latex5 and then: latex6 gives the result surprisingly cleanly. | 1 |
Draw the \`line of simultaneity' (i.e of equal time) in the moving frame from the event of the light pulse arriving at Lucy. | 1 |
Generalise this derivation to the case of latex3 particles. | 1 |
In consequence, the coordinates of the ball are functions of time latex3 : latex4 Find latex5 as a function of latex6 . | 1 |
What is the rate of heat loss through a wall that is latex4 on a side? | 1 |
The dam has a small trap door of height latex2 m and width latex2 m, and it is situated latex4 m below the surface (and latex5 m) above the bottom (it is used to bring the water level down quickly). | 0 |
A toy car track shown below consists of a sloping section latex0 , a circular loop latex1 of radius latex2 , and a straight horizontal section latex3 . | 0 |
Here, latex1 , latex2 , latex3 , and latex4 are fixed scalars, and latex5 is a fixed unit vector in latex6 . | 0 |
The bottom plate moves with steady speed latex7 , and the top one moves with steady speed latex8 . | 0 |
Explain why. | 1 |
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