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GEAS – November 2010
Q: A spherical tank is made from 2.5mm thick plate and is
subjected to an internal pressure of 1400kPa. If you are
told that the tank cannot be subjected to a stress more
than 100MPa, what diameter of the tank would you use?
A: 714 mm
Solution:
D =
=
D = 714 mm
Q: A truck container is filled with 37,000 liters of diesel
fuel @ the origin. The driver experienced a cold weather
@ the destination 23 kelvin lower than the origin. The
coefficient of volumetric expansion of a diesel fuel is
9.5x10-4 /⁰C. How many liters of diesel fuel were delivered
@ the destination?
A: 36,191.55 L
Solution:
∆V = αvVo∆T
= (9.5x10-4)(37000)(-23)
∆V = -808.45 L
Vt = Vo + ∆V
= 37,000 – 808.45
Vt = 36,191.55 L
Q: A truck moves from rest and accelerates at a constant
rate of 10 m/s2, passes through a circular curve with
radius of 1000 m. How long does the truck move before
the normal component of acceleration e Quals the
tangential acceleration?
Solution:
Q: In eQuilibrium, Mars emits the same radiation as it
absorbs. If the orbital radius of Mars is 1.5 times the
radius of the earth around the sun, determine the
relationship of temperature of Mars to earth. Thus, the
temperature of Mars is ________ times that of the earth.
Solution:
Q: Find the minimum power reQuired when the pressure
changes from 2kPa to 6 MPa for a mass flux of water 10
kg/s.
Solution:
Q: The heart pumps blood into the aorta, which has an
inner radius of 1.0cm. The aorta feeds 32 major arteries. If
the blood in the aorta travels at the speed of 28 cm/s,
what is the average speed of the blood in the arteries?
Assume the blood can be treated as an ideal fluid and the
arteries each have an inner radius of 0.21cm.
Solution:
Q: Ten cubic ft of air is cooled at a constant pressure of
80psia. What is the change in internal energy if the initial
temperature was 180OF? [
Solution:
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Q : A spherical tank is made from 2.5mm thick plate and is subjected to an internal pressure of 1400kPa. If you are told that the tank cannot be subjected to a stress more than 100MPa, what diameter of the tank would you use? A: 714 mm Solution: D = = D = 714 mm Q : A truck container is filled with 37,000 liters of diesel fuel @ the origin. The driver experienced a cold weather @ the destination 23 kelvin lower than the origin. The coefficient of volumetric expansion of a diesel fuel is 9.5x10-4^ /⁰C. How many liters of diesel fuel were delivered @ the destination? A: 36,191.55 L Solution: ∆V = αvVo∆T = (9.5x10-4)(37000)(-23) ∆V = -808.45 L Vt = Vo + ∆V = 37,000 – 808. Vt = 36,191.55 L Q: A truck moves from rest and accelerates at a constant rate of 10 m/s^2 , passes through a circular curve with radius of 1000 m. How long does the truck move before the normal component of acceleration e Q uals the tangential acceleration? Solution: Q : In e Q uilibrium, Mars emits the same radiation as it absorbs. If the orbital radius of Mars is 1.5 times the radius of the earth around the sun, determine the relationship of temperature of Mars to earth. Thus, the temperature of Mars is ________ times that of the earth. Solution: Q : Find the minimum power re Q uired when the pressure changes from 2kPa to 6 MPa for a mass flux of water 10 kg/s. Solution: Q : The heart pumps blood into the aorta, which has an inner radius of 1.0cm. The aorta feeds 32 major arteries. If the blood in the aorta travels at the speed of 28 cm/s, what is the average speed of the blood in the arteries? Assume the blood can be treated as an ideal fluid and the arteries each have an inner radius of 0.21cm. Solution: Q : Ten cubic ft of air is cooled at a constant pressure of 80psia. What is the change in internal energy if the initial temperature was 180 OF? [ Solution:

Q : The density of 2.54 M a Q uaeous solution of methanol (CH 3 OH) 0.976 g/ml. What is the molality of solution? If methanol is 32.04 g/mol Solution: (1L soln)(1000mL soln / 1L soln)(0.976g / 1mL soln) = 976g Mass of H 2 O = (976g- (2.54mol x 32.04g/mol)) = 894.61g m = 2.54mol / 0.89461Kg m = 2.84 m Ans Q : A ten cubic feet of air is to be cooled down with a constant pressure of 80 psia. If the initial temp is at 180 oF, what is the extra work done at 100 oF. Solution: P = (80 psia)(1ft / 12in)^2 = 11520 lb/ft^2 T 1 = 180 + 460 = 640 R T 2 = 100 + 460 = 560 R V = 10 ft^3 R = 53.53 lbft/mol R PV = nRT (11520)(10) = n(53.53)(640) n = 3.36 mol W = m (T 2 – T 1 ) W = (3.36)(560 – 640) W = - 269.01 Ans Q : Two bars, prismatic bar and conic bar, are vertically hanged by their own weight. If the length, density and modulus of elasticity is the same. Determine the ratio of their elongation. Soln: δc = c = δc = p =

Q : In a cylinder, an oxygen gas has 12 liters at 20 oC with a pressure of 15 atm. If the temperature in cylinder is increase by 35 oC and the volume is reduced to 8.5 liters. Determine the pressure. Assume the gas us ideal Soln: PiVi = nRTi PfVf = nRTf Pf = = = 22.26 atm Q: A truck starting from rest accelerates at a rate 10m/s^2 around a circular curve of radius 1000m. How long before the normal acceleration component e Q uals the tangential acceleration? A: 500 m Q: An electronic engineer invented an engine uses a 1600 °C geothermal heat. It exhaust to the 20 °C environment, what is the maximum efficiency of the engine? A: 32.33% Q: Calculate the normality of 0.25 mL of NaOH if it needs 0.2 mole and 0.3mL of HCl. A: 0. In neutralization, the normality of base is e Q ual to acid 0.2 (0.3mL) = x (0.25mL)

Q: In calculating the modulus elasticity of a shaft, you used a uniform diameter of 25 mm. However, you later realize that the shaft actually tapers from 26 mm to one side and 24 mm to the other side. What is the error committed in calculating the modulus of elasticity of the shaft? A: 99.84% Solution: In solving for k: Substitute: Q: A wave passes from Medium A to Medium B. If the angle of incidence is 40o^ and the angle of refraction is 30o, what medium does light travels the fastest? A. Light travels faster in Medium A than in Medium B. Solution: Snell’s Law: Since , light travels faster in Medium A than in Medium B. Q: A beam has a width of 60cm, and a depth of 20cm. it is designed to carry a bending moment of 6000Nm, how much is the flexural stress developed in the beam?

A:

Q: The position of a certain object is given by:

. How long will it take for the velocity to be zero? A: t=3s Q: Two metal shafts are compared: one is solid and has a diameter of 100cm, the other is hollow with inner diameter 50cm and outer diameter 100cm. What is the relationship of the *(torsional stress) present in between shafts? Note: a hollow shaft always has a *(torsional stress) 6. times that of a solid shaft with e Q ual outer diameter regardless of the inner diameter. *not sure A: 6.67 times Q: A trough is used for animals’ drink has dimensions: 2.1m long, 7.13cm wide and 30cm deep. It contains 10.62kg of a fluid with. How deep is the fluid? A: h=16.6cm Q : A steel wire (coefficient of thermal expansion of 11.7 x 10 -6) of has a diameter of 5 cm and a length 80 cm. What compressive stress induced in this wire that restrained from moving if it is increased by 100° C. Answer: 234MPa Solution:

Problem: A cantilever beam of length 1m carries a uniform load of 200 N/m. What is the maximum moment of the beam? Solution: Problem: What is the change in enthalpy if 10 cubic feet of air are cooled at constant pressure of 80 psia? The initial temperature was 180 degree Fahrenheit and final temperature is 100 degree Fahrenheit. Solution: Since change of enthalpy is e Q ual to heat removed or attracted, Problem: What is the solid shaft’s twisting moment if it is driven by a turbine 70hp, turning 200rpm? Answer: P = 2πfTfT (70hp)(6600 lb-in/s) = 2πfT(200rev/min)(1min/60s)T T = 22070 lb-in Problem : Let a 1kg li Q uid be converted to steam by boiling at 1atm (101.325kPa). How much work is done in converting the li Q uid with initial volume of 1x10^-3 m^ to 1.671m^3 of steam? Answer: W = P(Vfinal-Vinitial) W = (101.325)(1.671-1x10^-3) W = 169kJ Problem: A vessel and piston is used to compress 1 pound mol of ideal gas. If the ideal gas is compressed at a constant temperature of 100 degrees Fahrenheit from 20 atm to 5 atm, what is the work done? Problem: A block has dimensions of 20cm (width) x 60cm (height) x 80cm (length). The 20cmx80cm plane is secured to a horizontal slab. If the block is subjected to a shearing force of 1000kN, what is the shearing strain of experienced by the block? The modulus of rigidity of the block is 83x10^6 kPa. Q: A 1-lb gas is being compressed; calculate the change in entropy in Btu/R, if the parameters are changing are from 14 psia at 60 degrees F to 84 psia at 460 degrees F. A: Solution: formulae: where: T=460 + F n=1. Q: A beautiful Otot-Otot flower of 1.2 cm in diameter is being gaze at a distance of 90 cm on a camera whose focal length is 150 mm. Calculate the image size formed by the flower. A: 0.24 cm Solution: formulae: