Other Engineering Answers

Sand is leaking from the back of a dump truck and forming a conical pile on the ground. The sand is leaking at the rate of 0.2 m3 per hour. If the base radius of the pile is always 0.4 times the height, how fast is the base radius changing when the height is 1.5 m? Show all the working.
(Volume of cone of height h and base radius r is V = 1πr2h.)
need step by step working out

At a building site, an iron girder of mass 400 kg is suspended from a crane by a steel cable. Assume that the cable has a circular cross-section of diameter 24 mm.
a.What is the tensile force in newtons on the cable given that force = mass × g (where the acceleration due to gravity, g = 9.8 m s−2). Ignore the mass of the cable.
(2 marks)

b.Calculate the cross-sectional area of the cable in square metres.
(3 marks)

c.Show that the stress on the cable is 8.67 × 106 N m−2. Again ignore the mass of the cable.
(3 marks)

d.If the Young’s modulus of the steel cable is 200 × 109 N m−2, calculate the strain in the cable.
(3 marks)

e.When it is loaded with the iron girder, the steel cable stretches by 0.78 mm. Calculate what the original length of the steel cable was (i.e. its length prior to loading).
(4 marks)


TOTAL: 15 marks

Can i submit a Subject so you can write a literature review of Flying Robots?

In a well, the vertical depth is 6,615 ft and the well is filled to the top with a incompressible oil of density 48 lbs/ft^3 . The valve has been closed so that all flow has stopped. The pressure gauge (p1) at that point reads 4410 psia. At the bottom end of the long horizontal extension is the entry point of the well. The pipe is plugged with a 10 cm long porous cylinder separating it from the reservoir fluid at pressure p2. The permeability of the plugging material is 100 mD (milli darcy). The vertical piping is 15 cm in diameter, the horizontal piping is 8 cm inner diameter.

a) what is the reservoir pressure p2?

b) assume the valve is opened fully so that under steady state flow, the pressure p1 becomes 14.7 psia. assume the fluid has 5 cp viscosity. what is the flow rate out through the valve?

An ideal gas flows into one end of a porous cylinder at a temperature of 400 K degrees and out the other end at a temperature of 600 K degrees. The input pressure is 20 atmospheres and the output pressure is 10 atmospheres. If the input volume flow rate is 100 cm^3/sec what is the output flow rate?

Olive oil with a density of 830 kg/m^3 ,in a food factory needs to be pumped in a 30mm diameter pipe to a tank 10m above the pump with a rate of 18m^3/hr. The depth of fluid in the tank is 2.75m, what pressure must be added to lift the oil to the upper tank. Friction losses as 5kpa using this equation
P1+p v1^2 + h1 pg + trianglePe = P2+p v2^2 + h2 pg + trianglePf
2 2
trianglePe= pumping energy trianglePf=frictional losses
given that Power= pressure=volume flow

Give 16 bit representation to represent the number -15.25 using the following format:


Sign |------------Exponent -------------------------------------|-------------mantissa ------------------|

0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

i) Bit 0 should be 0 if the number is positive and 1 if the number is negative.
ii) Exponent should be stored as number in 8th -complement form, (i.e., base=8)

For part (b)-section ii of the assignment, I use the equation of complex velocity potential for simple flows (as seen in the attachment). Now the second term n/2 pi needs to be 1 so that I can have z + 1/z which I can subsitute and prove the required. However can someone please explain to me how is n/2 pi equal to 1 for my question?