The device is used to hold an elevator door open. If the spring has stiffness k and it is compressed a distance , determine the horizontal and vertical components of reaction at the pin A and the...
Determine the moment of inertia for the overhung crank about the x axis. The material is steel having density . Units Used: Mg = 1000 kg Given: = 7.85Mg/m3 a = 20 mm b = 20 mm c = 50 mm d = 90 mm e...
Gas absorption or gas scrubbing is a commonly used method for removing environmentally undesirable species from waste gases in chemical manufacturing and combustion processes. The waste gas is...
The flat-bed trailer has weight W1 and center of gravity at GT. It is pin-connected to the cab at D. The cab has a weight W2 and center of gravity at GC. Determine the range of values x for the...
A cylindrical shell of inner and outer radii, ri and r0, respectively, is filled with a heat-generating material that provides a uniform volumetric generation rate (W/m3) of q. The inner surface is...
A rectangular bar is cut from an AISI 1020 cold-drawn steel flat. The bar is 2.5 in wide by 3/8 in thick and has a 0.5-in-dia. hole drilled through the center as depicted in Table A151. The bar is...
Determine Zi Zo, and Vo for the network of Fig. 8.76 if Vi = 20 mV. +20 V 2 kS2 82 /oss= 12 mA z, Z, Cs 610
A solar flux of 700 W/m 2 is incident on a flat-plate solar collector used to heat water. The area of the collector is 3 m 2 , and 90% of the solar radiation passes through the cover glass and is...
A liquid mixture containing 30.0mole% benzene (B) 25.0% toluene (T) and the balance xylene (X) is fed to a distillation column. The bottoms product contains 98.0 mole% X and no B. and 96.0% of the X...
A thermocouple is inserted into a hot air duct to measure the air temperature. The thermocouple (T 1 ) is soldered to the tip of a steel thermocouple well of length L = 0.15 m and inner and outer...
A tube bank uses an aligned arrangement of 30-mm-diameter tubes with ST = SL = 60 mm and a tube length of 1 m. There are 10 tube rows in the flow direction (N L = 10) and 7 tubes per row (NT = 7)....
A chip that is of length L = 5 mm on a side and thickness t = 1 mm is encased in a ceramic substrate, and its exposed surface is convectively cooled by a dielectric liquid for which h = 150 W/m 2 K...
Determine the magnitude of the reactions on the beam at A and B. Neglect the thickness of the beam. Given: F1 = 600 N F2 = 400 N = 15 deg a = 4 m b = 8 m c = 3 d = 4 F1 F1 A, , -b
Determine the force in each member of the half hip truss shown. State whether each member is in tension or compression. IEN 12 1.36 -126 -126 ie m
You've experienced convection cooling if you've ever extended your hand out the window of a moving vehicle or into a flowing water stream. With the surface of your hand at a temperature of 30C,...
The Prandtl number, Npr, is a dimensionless group important in heat transfer calculations. It is defined as CP/k, where CP is the heat capacity of a fluid, is the fluid viscosity, and k is the...
Determine the force in each member of the Fink truss shown. State whether each member is in tension or compression. 42 IN D. 28AN 25IN 15m 1.5
An array of electronic chips is mounted within a sealed rectangular enclosure, and cooling is implemented by attaching an aluminum heat sink (k = 180 W/m K). The base of the heat sink has dimensions...
The extent to which the tip condition affects the thermal performance of a fin depends on the fin geometry and thermal conductivity, as well as the convection coefficient. Consider an alloyed...
A commercial refrigerator with refrigerant-134a as the working fluid is used to keep the refrigerated space at - 30oC by rejecting its waste heat to cooling water that enters the condenser at 18oC at...
Determine the moment of inertia of the beam's cross-sectional area about the x' axis. Given: a = 40 mm b = 120 mm c = 40 mm d = 40 mm tot a
Consider an infinitely thin flat plate of chord c at an angle of attack a in a supersonic flow. The pressures on the upper and lower surfaces are different but constant over each surface; i.e., p u...
Determine Vcc for the network of Fig. 5.154 if Av = -160 and ro = 100 kO. 3.3 k 82 k 5.6 k CE
A commercial enclosed gear drive consists of a 20 spur pinion having 16 teeth driving a 48-tooth gear. The pinion speed is 300 rev/min, the face width 2 in, and the diametral pitch 6 teeth/in. The...
A 7.5-lb collar is released from rest in the position shown, slides down the inclined rod, and compresses the spring. The direction of motion is reversed and the collar slides up the rod. Knowing...
As part of a heat treatment process cylindrical, 304 stainless steel rods of 100-mm diameter are cooled from an initial temperature of 500C by suspending them in an oil bath at 30e. If a convection...
Unique characteristics of biologically active materials such as fruits, vegetables, and other products require special care in handling. Following harvest and separation from producing plants,...
An aluminum plate 4 mm thick is mounted in a horizontal position and its bottom surface is well insulated. A special, thin coating is applied to the top surface such that it absorbs 80% of any...
Each of the four forces acting at E has magnitude F. Express each force as a Cartesian vector and determine the resultant force. Units used: kN = 103 N Given: F = 28kN a = 4 m b = 6 m c = 12 m FEC...
A two-dimensional Rankine half body, 8 cm thick, is placed in a water tunnel at 20°C. The water pressure far upstream along the body centerline is 120 kPa. What is the nose radius of the...
In the double-reduction gear train shown, shaft a is driven by a motor attached by a flexible coupling attached to the overhang. The motor provides a torque of 2500 lbf in at a speed of 1200 rpm....
A stream of pure cyclopentane vapor flowing at a rate of 1550 L/s at 150C and 1 atm enters a cooler in which 55% of the feed is condensed at constant pressure. (a) What is the temperature at the...
Superheated steam at 575C is routed from a boiler to the turbine of an electric power plant through steel tubes (k = 35 W/m K) of 300 mm inner diameter and 30 mm wall thickness. To reduce heat loss...
Beam AB, which lies on the ground, supports the parabolic load shown. Assuming the upward reaction of the ground to be uniformly distributed, (a) Write the equations of the shear and bending-moment...
Determine the horizontal and vertical components of force which the pins at A, B, and C exert on member ABC of the frame. Given: F1 = 400 N F2 = 300 N F3 = 300 N a = 1.5 m b = 2 m c = 1.5 m d = 2.5 m...
Nitric acid is used extensively for the production of inorganic and organic nitrates, for metal treatments of various kinds, and for photoengraving. It is produced by oxidizing ammonia to nitric...
An uninsulated, thin-walled pipe of 100-mm diameter is used to transport water to equipment that operates outdoors and uses the water as a coolant. During particularly harsh winter conditions, the...
If a system expands in volume by an amount V (m 3 ) against a constant restraining pressure P(N/m 2 ), a quantity PV(J) of energy is transferred as expansion work from the system to its surroundings....
The following feed mixture is to be separated by ordinary distillation at 120 psia so as to obtain 92.5 mol% of the nC4 in the liquid distillate and 82.0 mol% of the iC5 in the bottoms. (a) Estimate...
The factor of safety for tipping of the concrete dam is defined as the ratio of the stabilizing moment about O due to the dams weight divided by the overturning moment about O due to the water...
The drag on the hull of a ship depends in part on the height of the water waves produced by the hull. The potential energy associated with these waves therefore depends on the acceleration of...
Ethanol is produced commercially by the hydration o ethylene: C 2 H + H 2 0 C 2 H 5 OH some of the product is converted to diethyl ether in the side reaction 2C 2 H 5 OH (C 2 H 5 ) 2 O + H 2 O the...
A published study of a chemical reaction A ? P, indicates that if the reactor initially contains A at a concentration C A0 (g/L) and the reaction temperature, T, is kept constant, then the...
Each of the double pulleys shown has a centroidal mass moment of inertia of 0.25 kg ?? m2, an inner radius of 100 mm, and an outer radius of 150 mm. Neglecting bearing friction, determine (a) The...
A flowchart of a methanol synthesis process is shown below. A. Fresh feed?a mixture of CO. H 2 , N 2 , and CO 2 B. Feed to the reactor?30.O mole% CO, 63.0% H 2 , 2.0% N 2 , and 5.0% CO 2 . Reactor...
Three blocks are supported using the cords and two pulleys. If they have weights of WA = WC = W, WB = kW, determine the angle θ for equilibrium. Given: k = 0.25 B
The Weather channel reports that it is a hot, muggy day with an air temperature of 90F, a 10 mph breeze out of the southwest and bright sunshine with a solar insulation of 400 W/m2. Consider the wall...
A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20_ pressure angle as shown. The power is...
Europium is a lanthanide element found in parts per billion levels in natural waters. It can be measured from the intensity of orange light emitted when a solution is illuminated with ultraviolet...
A thermostat control with dial markings from 0 to 100 is used to regulate the temperature of an oil bath. A calibration plot on logarithmic coordinates of the temperature, T(?F) versus the dial...
Compute the atomic packing factor for the diamond cubic crystal structure (Figure 12.15). Assume that bonding atoms touch one another, that the angle between adjacent bonds is 109.5, and that each...
Two flow control loops axe shown in the drawing. Indicate whether each system is either a feedback or a feed-forward control system. Justify your answer. It can be assumed that the distance between...
The horizontal platform ABCD weighs 60 lb and supports a 240-lb load at its center. The platform is normally held in position by hinges at A and B and by braces CE and DE. If brace DE is removed,...
A process instrument reading, Z (volts), is thought to be related to a process stream flow rate V(L/s) and pressure P(kPa) by the following expression: Process data have been obtained in two sets of...
Draw the shear and moment diagrams for the beam. Units Used: kip = 103 lb Given: F1 = 20 kip F2 = 20 kip w = 4 kip/ft a = 15 ft b = 30 ft c = 15 ft
The Cookenwythe Gas Company pumps propane gas to the nearby Noxious Chemicals, Inc., polypropylene production plant. The gas is metered at the noxious plant at 400m 3 /h at 4.7atm gauge and 30C. The...
For the beam and loading shown, (a) Draw the shear and bending-moment diagrams, (b) Determine the maximum absolute values of the shear and bending moment. 4 kips 1 kip 2 kips 3 ft' 3.6 ft 3.6 ft 3 ft
Liquid toluene is flowing through a pipe at a rate of 175m 3 /h. (a) What is the mass flow rate of this stream in kg/min? (b) What is the molar flow rate in mol/s? (c) In fact, the answer to part (a)...
Member AB is supported at B by a cable and at A by a smooth fixed square rod which fits loosely through the square hole of the collar. If F = {20i ? 40j ? 75k}, determine the x, y, z components of...
The hood of the automobile is supported by the strut AB, which exerts a force F on the hood. Determine the moment of this force about the hinged axis y. Given: F = 24 lb a = 2 ft b = 4 ft c = 2 ft d...
A vapor stream that is 65 mole% styrene and 35 mole% toluene is in equilibrium with a Liquid mixture of the same two species. The pressure in the system is 150 mm Hg absolute. Use Raoults law to...
The lid of a roof scuttle weighs 75 lb. It is hinged at corners A and B and maintained in the desired position by a rod CD pivoted at C; a pin at end D of the rod fits into one of several holes...
Consider weather conditions for which the prevailing wind blows past the penthouse tower on a tall building. The tower length in the wind direction is 10m and there are 10 window panels. (a)...
The system docosane-diphenylhexane (DPH)-furfural is representative of more complex systems encountered in the solvent refining of lubricating oil. Five hundred kilograms per hour of a 40 wt% mixture...
The permissible shear stress for the weldment illustrated is 20 kpsi. Estimate the load, F that will cause this stress in the weldmentthroat. 8 in T in
A solid mixture weighing 0.5485 g contained only ferrous ammonium sulfate hexahydrate and ferrous chloride hexahydrate. The sample was dissolved in 1M H2SO4, oxidized to Fe3+ with H2O2, and...
The thermal decomposition of dimethyl ether (CH 3 ) 2 O (g) CH 4 (g) + H 2 (g) + CO (g) is to be carried out in an isothermal 2.00-liter laboratory reactor at 600C. The reactor is charged with pure...
A spherical thermocouple junction 1.0 mm in diameter is inserted in a combustion chamber to measure the temperature T of the products of combustion. The hot gases have a velocity of V = 5 m/s. (a)...
The base B has pKb = 5.00. (a) What is the value of pKa for the acid BH+? (b) At what pH is [BH+] = [B]? (c) Which is the principal species at pH 7.00: B or BH+? (d) What is the quotient [B]/[BH+] at...
An eccentric, compressive 250-kN force P is applied to the end of a column. Replace P with an equivalent force-couple system at G. 30 mm
A dilute aqueous solution of sulfuric acid at 25C is used to absorb ammonia in a Continuous reactor, thereby producing ammonium sulfate, a fertilizer: 2 NH 3 (g) + H 2 SO 4 (aq) (NH 4 ) 2 SO 4 (aq)...
A 2.4-m-long boom is held by a ball-and-socket joint at C and by two cables AD and BE. Determine the tension in each cable and the reaction at C. ism 0.3 m. 24 m ssO N
Locate the center of gravity for the homogeneous half-cone. 2 = (a/h)y
Determine the normal force, shear force, and moment at a section passing through point D of the two-member frame. Units Used: kN = 103 N Given: w1 = 200N/m w2 = 400N/m a = 2.5 m b = 3 m c = 6 m W2...
Freshwater and seawater flowing in parallel horizontal pipelines are connected to each other by a double U-tube manometer, as shown in Fig. P169, determine the pressure difference between the two...
A ski jumper starts with a horizontal take-off velocity of 25 m/s and lands on a straight landing hill inclined at 30o. Determine(a) The time between take-off and landing,(b) The length d of the...
Paper is being dried with recirculating air in a two-stage drying system operating at 1 atm. The air enters the first dryer at 180"F, where the air is adiabatically saturated with moisture. The air...
A mixture of 75 mole% propane and 25 mole% hydrogen is burned with 25% excess air. Fractional conversions of 90% of the propane and 85% of the hydrogen are achieved: of the propane that reacts. 95%...
Consider the following reagents: zinc, copper, mercury (density 13.6 g/mL), silver nitrate solution, nitric acid solution. (a) Given a 500-mL Erlenmeyer flask and a balloon can you combine two or...
Determine the moments of inertia for the shaded area about the x and y axes. Given: a = 3 in b = 3 in c = 6 in d = 4 in r = 2 in - a - -b-
At the instant shown the tensions in the vertical ropes AB and DE are 300N and 200N, respectively. Knowing that the mass of the uniform bar BE is 5kg, determine, at this instant, (a) The force P, (b)...
Falling-cylinder viscometer (see Fig. 2C.4) A falling-cylinder viscometer consists of a long vertical cylindrical container (radius R), capped at both ends, with a solid cylindrical slug (radius KR)....
The derrick is pin-connected to the pivot at A. Determine the largest mass that can be supported by the derrick if the maximum force that can be sustained by the pin at A is Fmax. Units Used: kN =...
The figure shows a pair of shaft-mounted spur gears having a diametral pitch of 5 teeth/in with an 18-tooth 20¦ pinion driving a 45-tooth gear. The horsepower input is 32 maximum at 1800...
The energy flux associated with solar radiation incident on the outer surface of the earth's atmosphere has been accurately measured and is known to be 1353 W/m 2 . The diameters of the sun and earth...
A common procedure for measuring the velocity of an air stream involves insertion of an electrically heated wire (called a hot-wire anemometer) into the air flow, with the axis of the wire oriented...
The viscosity ? of a glass varies with temperature according to the relationship where Qvis is the energy of activation for viscous flow, A is a temperature-independent constant, and R and T are,...
Define a system and simplify the open-system energy balance (Equation 7.4-15) for each of the following cases. State when possible whether nonzero heat and shaft work terms are positive or negative....
A colored dye compound decomposes to give a colorless product. The original dye absorbs at 608 nm and has an extinction coefficient of 4.7 104 M-1 cm-1 at that wavelength. You perform the...
Determine the components of F that act along rod AC and perpendicular to it. Point B is located a distance f along the rod from end C. Given: F = 600 N c = 4 m a = 4 m d = 3 m b = 6 m e = 4 m f = 3 m...
The cross section of a concrete dam is as shown. For a dam section of unit width, determine (a) The reaction forces exerted by the ground on the base AB of the dam, (b) The point of application of...
A cross-flow heat exchanger consists of a bundle of 32 tubes in a 0.6-m 2 duct. Hot water at 150C and a mean velocity of 0.5 m/s enters the tubes having inner and outer diameters of 10.2 and 12.5 mm....
Two cables BG and BH are attached to the frame ACD as shown. Knowing that the tension in cable BG is 450 N, determine the components of the force exerted by cable BG on the frame at B. 0.7 m 15 m...
Sulfur trioxide (SO 3 ) dissolves in and reacts with water to form an aqueous solution of sulfuric acid (H 2 SO 4 ). The vapor in equilibrium with the solution contains both SO and H 2 O. If enough...
Titanium has an HCP unit cell for which the ratio of the lattice parameters c/a is 1.58. If the radius of the Ti atom is 0.1445 nm, (a) Determine the unit cell volume, and (b) Calculate the density...
A thermocouple has the following characteristics when it is immersed in a stirred bath: Mass of thermocouple 1g. Heat capacity of thermocouple = 0.25 cal/g C I-feat transfer coefficient = 20 cat/cm2...
A deethanizer is to be designed for the separation indicated in figure. Estimate the number of equilibrium stages required, assuming it is equal to 2.5 times the minimum number of equilibrium stages...
Each cord can sustain a maximum tension T. Determine the largest weight of the sack that can be supported. Also, determine θ of cord DC for equilibrium. Given: T = 200 lb θ1 = 30 deg...
A stream containing H 2 S and inert gases and a second stream of pure SO 2 are fed to a sulfur recovery reactor, where the reaction 2H 2 S + SO 2 ? 3S + 2H 2 0 takes place. The feed rates are...
During transient operation the steel nozzle of a rocket engine must not exceed a maximum allowable operating temperature of 1500 K when exposed to combustion gases characterized by a temperature of...