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Find the smallest number in an array and calculate total no. of comparison operators, assignment operations, and how many times the loop will be executed and total time it will take.
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
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)
what is patch extraction in matlab?
what is bilateral filtering in matlab?
what is the most common formula for gamma function and when we can use it ??
A 4 m long steel wire having 40 mm in diameter, a Young`s modulus of 20 × 〖10〗^10 N/m^2 and an elastic limit of 2.5 × 〖10〗^8 N/m^2 is used to support a weight of 100 KN .
a) By how much does the wire stretch under this load ?
b) what is the maximum weight the steel wire is able to support without being permanently deformed?
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