Answer:
see explaination for all the answers and full working.
Explanation:
deflection=8P*DN/Gd^4
G(for steel)=70Gpa=70*10^9N/m^2=70KN/mm^2
for outer spring,
deflection=8*3*50^3*5/(70*9^4)=32.66mm
for inner spring
deflection=8*3*30^3*10/(70*5^4)=148.11mm
max stress=k*8*P*C/(3.14*d^2)
for outer spring
c=50/9=5.55
k=(4c-1/4c-4)+.615/c=1.2768
max stress=1.2768*8*3*5.55/(3.14*9^2=.66KN.mm^2
for inner spring
c=6
k=1.2525
max stress=2.29KN/mm^2
Answer:
M2 = 0.06404
P2 = 2.273
T2 = 5806.45°R
Explanation:
Given that p1 = 10atm, T1 = 1000R, M1 = 0.2.
Therefore from Steam Table, Po1 = (1.028)*(10) = 10.28 atm,
To1 = (1.008)*(1000) = 1008 ºR
R = 1716 ft-lb/slug-ºR cp= 6006 ft-lb/slug-ºR fuel-air ratio (by mass)
F/A =???? = FA slugf/slugaq = 4.5 x 108ft-lb/slugfx FA slugf/sluga = (4.5 x 108)FA ft-lb/sluga
For the air q = cp(To2– To1)
(Exit flow – inlet flow) – choked flow is assumed For M1= 0.2
Table A.3 of steam table gives P/P* = 2.273,
T/T* = 0.2066,
To/To* = 0.1736 To* = To2= To/0.1736 = 1008/0.1736 = 5806.45 ºR Gives q = cp(To* - To) = (6006 ft-lb/sluga-ºR)*(5806.45 – 1008)ºR = 28819500 ft-lb/slugaSetting equal to equation 1 above gives 28819500 ft-lb/sluga= FA*(4.5 x 108) ft-lb/slugaFA =
F/A = 0.06404 slugf/slugaor less to prevent choked flow at the exit
Answer:a) recovery factor = 53.3% ,bi) volume of oil per acre-ft = 11090.64bbl/acre-ft
bii) bulk volume of the reservoir in acre-ft = 1000 acre-ft
c) 62214.74 cubic feet
Explanation: a) recovery factor is the percentage amount of oil that can recovered from a reservoir, it is the oil produced divided by oil initially in place
Recovery factor= 1 - (Soi/1-Swi)
= 1 - (0.35/1-0.25)
= 0.533 × 100%
= 53.3%
bi) volume of oil which may be recovered per acre-ft = 7758.porosity.(1- Swi-Soi)
= 7758 x 0.2 x (1-0.25-0.35)
= 620.64 bbl/acre-ft
bii) bulk volume of the reservoir in acre-ft= Area x thickness
= 100 acres x 10 ft
= 1000 acre-ft
c) total volume of oil in cubic feet
since we have gotten volume as 1000 acre-ft we simply multiply it by the volume of oil gotten in answer bi)
= 1000 acre-ft x 620.64 bbl/ acre-ft
= 620640bbl
So we convert from barrel(bbl) to cubic feet, and 1 barrel is equal to 5.609 cubic feet, so to convert the answer from barrel to cubic feet we multiply the answer 620640 bbl by 5.609
= 620640 bbl x 5.609
= 3481580.711 cubic feet
This is a very very difficult one for me, let me get back to you with the proper answer.
Of course they are needed because without them the society wouldn’t be as nice as it is right now and plus there would be no more buildings ! :)