Arm BCD is connected by pins to crank AB at B and to a collar at C. Neglecting the effect of friction, determine the couple M required to hold the system in equilibrium when θ = 45°. 2000...
Two 10-lb disks and a small motor are mounted on a 15-lb rectangular platform which is free to rotate about a central vertical spindle. The normal operating speed of the motor is 180 rpm. If the...
An ideal gas refrigeration system with a regenerative HX uses air as the working fluid. Air enters the compressor at 270 K, 150 kPa at a flow rate of 0.1 m3/min and exits at 400 kPa. Compressed air...
The atomic masses of hydrogen-2 (deuterium), helium-4, and lithium-6 are 2.014102 amu, 4.002602 amu, and 6.0151228 amu, respectively. For each isotope, calculate (a) The nuclear mass (b) The nuclear...
A dibasic compound, B, has pKb1 = 4.00 and pKb2 = 6.00. Find the fraction in the form BH2 2+ at pH 7.00, using Equation 9 - 19. Note that K1 and K2 in Equation 9-19 are acid dissociation constants...
An air-conditioning system operates at a total pressure of 1 atm and consists of a heating section and an evaporative cooler. Air enters the heating section at 10C and 70 percent relative humidity at...
The heat capacities of a substance have been defined as use the defining relationship between H and U and the fact that H and U for ideal gases are functions only of temperature to prove that Cp = Cv...
A uniform slender rod of length 2L and mass m rests against a roller at D and is held in the equilibrium position shown by a cord of length a. Knowing that L = 200 mm, determine (a) The angle , (b)...
A particle of mass m is projected from point A with an initial velocity v0 perpendicular to OA and moves under a central force F along an elliptic path defined by the equation r = r0/(2 ?? cos)....
A long, V-shaped part is heat treated by suspending it in a tubular furnace with a diameter of 2 m and a wall temperature of 1000 K. The "vee" is I-m long on a side and has an angle of 60?. If the...
Find Vo in the network shown using Thevenins Theorem 100Lx
Spheres of 40-mm diameter heated to a uniform temperature of 400C are suddenly removed from the oven and placed in a forced-air bath operating at 25C with a convection coefficient of 300 W 1m:!. . K...
One end of a stainless steel (AISI 316) rod of diameter 10 mm and length 0.16 m is inserted into a fixture maintained at 200C. The rod, covered with an insulating sleeve, reaches a uniform...
An 8-ft-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.
Heating of air in a tube, a horizontal tube of 20 ft length is heated by means of an electrical heating element wrapped uniformly around it, Dry air enters at 5F and 40 psia at a velocity 75 ft/s and...
The flat roof on the refrigeration compartment of a food deli very truck is of length L = 5 m and width W = 2 m. It is fabricated from thin sheet metal to which a fiberboard insulating material of...
The block diagram of a special feedback control system is shown in Figure. Derive art expression for the closed-loop transfer function, Y(s)/D(s).
Reconsider Prob. 1621. Using EES (or other) software, study the effect of varying the percent excess air during the steady-flow process from 0 to 200 percent on the temperature at which 97 percent of...
A frictionless, thermally conducting piston separates the air and water in the cylinder shown in Fig. P5.100, the initial volumes of A and B are each 500 L, and the initial pressure on each side is...
To lower a pack of weight W to the hiker at C, the hikers at A and B have passed a rope ADB through a ring attached to the pack at D. The hiker at C is 64 ft below A and guides the pack using rope...
Consider the thin integrated circuit (chip) of Problem 3.136. Instead of attaching the heat sink to the chip surface, an engineer suggests that sufficient cooling might be achieved by mounting the...
The exposed surface of a power amplifier for an earth satellite receiver of area 130 mm by 130 mm has a diffuse, gray, opaque coating with an emissivity of 0.5. For typical amplifier operating...
A gas containing 50 mol% propylene in propane is to be separated with silica gel having the equilibrium properties shown in Figure. The final products are to be 90 mol% propylene and 75 mol% propane....
For 15 minimum equilibrium stages at 250 psia, calculate and plot the percent recovery of C3 in the distillate as a function of distillate flow rate for the distillation of 1,000 lbmol/h of a feed...
Ten kilograms of water in a piston/cylinder setup with constant pressure is at 450C and a volume of 0.633 m3. It is now cooled to 20C. Show the Pv diagram and find the work and heat transfer for the...
Find the missing properties and give the phase of the substance a. H2O u 2390 kJ/kg, T 90C h ? v ? x ? b. H2O u...
In a surface coating operation, a polymer (plastic) dissolved in liquid acetone is sprayed on a solid surface and a stream of hot air is then blown over the surface, vaporizing the acetone and...
You are to simulate a partial condenser module that converts a vapor feed stream (SF) containing a single condensable species at temperature TF(K) to liquid and vapor product streams (SL, SV) in...
A non-return-to-zero data stream (of amplitude levels ?1) is passed through a low-pa filter whose impulse response is defined by the Gaussian function where ? is a design parameter defined in terms...
Consider the counter flow, concentric tube heat exchanger of Example 11.1. The designer wishes to consider the effect of the cooling water flow rate on the tube length. All other conditions,...
A 10 wt% aqueous solution of NaOH at 100F and a flow rate of 30.000 lb/h is to be concentrated to 50 wt% by evaporation using saturated steam at 115 psia. (a) If a single-effect evaporator is used...
The dynamic behavior of the heat exchanger shown in figure can be described by the following transfer functions The valve lift x is measured in inches. Other symbols are defined in Figure.(a) Find...
In a manufacturing process, a long coated plastic rod (p = 2200 kg/m J c = 800 J/kg K, k =1 W/m K) of diameter D = 20 mm is initially at a uniform temperature of 25C and is suddenly exposed to a...
A rocket is fired vertically from the surface of the moon with a speed v0. Derive a formula for the ratio hn/hu of heights reached with a velocity v, if Newtons law of gravitation is used to...
Is it possible to produce a precipitation-hardened 2014 aluminum alloy having a minimum tensile strength of 425 MPa (61,625psi) and a ductility of at least 12%EL? If so, specify the precipitation...
To form a reinforced box section, two rolled W sections and two plates are welded together. Determine the moments of inertia and the radii of gyration of the combined section with respect to the...
The manufacturer of a heat flux gage like that illustrated in Problem 1 12 claims the time constant for a 63.2% response to be = (4d 2 pc p ) 2 k where p, c p, and k are the thermo physical...
A transmission cable having a mass per unit length of 1 kg/m is strung between two insulators at the same elevation that are 60 m apart. Knowing that the sag of the cable is 1.2 m, determine (a) The...
Data of Othmer and Agarwal [1] for the batch extraction of oil from soybeans by oil-free n-hexane at 80F are as follows: Determine whether these data are consistent with a constant effective...
Consider the liquid storage system shown in figure. Only volumetric flow rates, q and q, can be manipulated. Determine the model degrees of freedom, NF, and the control degrees of freedom,NFC. 96 42...
If the coefficient of static friction at B is ? s = 0.3, determine the largest angle and the minimum coefficient of static friction at A so that the roller remains self-locking, regardless of the...
If the drain current for the 2N3797 MOSFET of Fig. 6.34 is 8 mA, what is the maximum permissible value of VDS utilizing the maximum power rating?
A certain axial-flow turbine has an output torque M which is proportional to the volume flow rate Q and also depends upon the density , rotor diameter D, and rotation rate . How does the torque...
A spherical balloon initially 150 mm in diameter and containing R-12 at 100 kPa is connected to a 30-L uninsulated, rigid tank containing R-12 at 500 kPa. Everything is at the ambient temperature of...
An oil pipeline is supported at 6-ft intervals by vertical hangers attached to the cable shown. Due to the combined weight of the pipe and its contents, the tension in each hanger is 400 lb. Knowing...
Figure shows the magnetic circuit for a permanent-magnet loudspeaker. The voice coil (not shown) is in the form of a circular cylindrical coil which fits in the air gap. A samarium-cobalt magnet is...
This problem explores the effect of interchanging the order of two operations on a signal, namely, sampling and performing a memoryless nonlinear operation. (a) Consider the two signal-processing...
For the process described by the exact transfer function (a) Find an approximate transfer function of second-order-plus-time-delay form that describes this process.(b) Using Simulink, plot the...
Steam is to be condensed in the condenser of a steam power plant at a temperature of 60C with cooling water from a nearby lake that enters the tubes of the condenser at 15C at a rate of 140 kg/s and...
A long-range ballistic trajectory between points A and B on the earth??s surface consists of a portion of an ellipse with the apogee at point C. Knowing that point C is 930 mi above the surface of...
Two small spheres A and B, with masses of 2.5 kg and 1 kg, respectively, are connected by a rigid rod of negligible mass. The two spheres are resting on a horizontal, frictionless surface when A is...
A long uniform rod of 50-mm diameter with a thermal conductivity of 15 W/m K is heated internally by volumetric energy generation of 20 kW/m 3 . The rod is positioned coaxially within a larger...
A 12-ft3 rigid tank contains refrigerant-134a at 40 psia and 55 percent quality. Heat is transferred now to the refrigerant from a source at 120F until the pressure rises to 60 psia. Assuming the...
Air is throttled from 50C and 800 kPa to a pressure of 200 kPa at a rate of 0.5 kg/s in an environment at 25C. The change in kinetic energy is negligible, and no heat transfer occurs during the...
The combustion of a fuel usually results in an increase in pressure when the volume is held constant, or an increase in volume when the pressure is held constant, because of the increase in the...
Steam enters a convergingdiverging nozzle at 1 MPa and 500C with a negligible velocity at a mass flow rate of 2.5 kg/s, and it exits at a pressure of 200 kPa. Assuming the flow through the nozzle to...
Boxes are transported by a conveyor belt with a velocity v0 to a fixed incline at A where they slide and eventually fall off at B. Knowing that k = 0.40, determine the velocity of the conveyor belt...
Flow of a polymeric film work the problem in S2.2 for the power law fluid. Show that the result simplifies properly to the Newtonian result.
(a) Write an expression for the modulus of elasticity for a hybrid composite in which all fibers of both types are oriented in the same direction. (b) Using this expression, compute the longitudinal...
For the distillation operation indicated in figure, calculate the minimum number of equilibrium stages and the distribution of the nonkey components by the Fenske equation, iCs 15 kmol/h 700 kPa...
Air enters a compressor at ambient conditions of 15 psia and 60F with a low velocity and exits at 150 psia, 620F, and 350 ft/s. The compressor is cooled by the ambient air at 60F at a rate of 1500...
Show that the transmission line model shown in Fig. 2-37 (P2.4) yields the same telegraphers equations given by Eqs. (2.14) and (2.16)
A disk having an outer diameter a fits loosely over a fixed shaft having a diameter b, if the coefficient of static friction between the disk and the shaft is s, determine the smallest vertical force...
Consider the series solution, Equation 5.39, for the plane wall with convection. Calculate mid plane (x* = 0) and surface (x* = 1) temperatures * for Fo = 0.1 and I, using Bi = 0.1, 1, and 10....
Bars AB and BE, each of weight 8 lb, are welded together and are pin-connected to two links AC and BD. Knowing that the assembly is released from rest in the position shown and neglecting the masses...
A thick plate of pure iron at 1000C is subjected to a carburization process in which the surface of the plate is suddenly exposed to a gas that induces a carbon concentration C c,s at one surface....
A saturated-liquid feed stream containing 40 mol% n-hexane (H) and 60 mol% n-octane is fed to a plate column. A reflux ratio L/D equal to 0.5 is maintained at the top of the column. An overhead...
Professor Walter Tunnel must measure velocity in a water tunnel. Due to budgetary restrictions, he cannot afford a pitot-static tube, so he inserts a total-head probe and a static-head probe, as...
A gas mixture at 300 K and 200 kPa consists of 1 kg of CO2 and 3 kg of CH4. Determine the partial pressure of each gas and the apparent molar mass of the gas mixture.
Determine the moments of inertia of the shaded area shown with respect to the x and y axes. -2a-
Consider a concentric tube heat exchanger characterized by a uniform overall heat transfer coefficient and operating under the following conditions: What is the maximum possible heat transfer rate?...
Suppose processes P 0 and P 1 share variable V 2 , processes P 1 and P 2 share variable V 0 , and processes P 2 and P 3 share variable V 1 . a. Show how the processes can use enableInterrupt ( ) and...
A 1-in-diameter rod, 3 ft long, of unknown material is found in a machine shop. A variety of inexpensive nondestructive tests are readily available to help determine the material, as described below:...
In the figure for Prob. 820, the bolts have a diameter of in and the cover plate is steel, with D = in. The cylinder is cast iron, with E = 5/8 in and a modulus of elasticity of 18 Mpsi. The -in...
An adiabatic heat exchanger is used to heat cold water at 15C entering at a rate of 5 kg/s by hot water at 90C entering at a rate of 4 kg/s. If the exit temperature of hot water is 50C, the exit...
Consider a horizontal 6-mm-thick, 100-mm-Iong straight fin fabricated from plain carbon steel (k = 57 W/m K, = 0.5). The base of the fin is maintained at 150C, while the quiescent ambient air and...
Bars AB and BC each of length l and of negligible weight are attached to two spring each of constant k. The springs are undeformed and the system is in equilibrium when θ1 =...
A chain of length l and mass m lies in a pile on the floor. If its end A is raised vertically at a constant speed v, express in terms of the length y of chain which is off the floor at any given...
The heat of solution of ammonia in water at 1 atm is Hs (25C, r = 2 mol H2O/mol NH3) = 78.2 kJ/mol Calculate the enthalpy change that accompanies the dissolution of 400 mol of NH3 in 800 mol of water...
A process that can be modeled as a time delay is controlled using a proportional feedback controller. The control valve and measurement device have negligible dynamics and steady-state gains of Kv =...
A process to be controlled has two controlled variables Y1 and Y2, and three inputs that can be used as manipulated variables, U1, U2, and U3. However, it is desired to use only two of these three...
Hydrogen at 15C and at a pressure of 1 atm is flowing along a flat plate at a velocity of 3 m/s. If the plate is 0.3 m wide and at 71C, calculate the following quantities at x = 0.3 m and at the...
The wall shear stress w in a boundary layer is assumed to be a function of stream velocity U, boundary layer thickness , local turbulence velocity u, density , and local pressure gradient dp/dx....
The fork lift has a weight W1 and center of gravity at G. If the rear wheels are powered, whereas the front wheels are free to roll, determine the maximum number of crates, each of weight W2 that the...
The sheet metal part has the dimensions shown. Determine the location (xc, yc, zc) of its centroid. Given: a = 3 in b = 4 in c = 6 in B
Consider the plunger actuator of figure. Assume that the plunger is initially fully opened (g = 2.25 cm) and that a battery is used to supply a current of 2.5 A to the winding. a. If the plunger is...
A process is characterized approximately by the transfer function (a) If its input u changes linearly, that is, u(t) = EtHow much would the response y(t) appear to lag the input u(t) fort >> ?1?(b)...
In an effort to move the two crates, each of weight W, which are stacked on top of one another, the man pushes horizontally on them at the bottom of crate A as shown. Determine the smallest force P...
For the frame and loading of Prob. 6.99, determine the internal forces at a point J located halfway between points B and E. -200- -200- 150 300 150 Dimensions in mm
A light train made up of two cars is traveling at 55 mi/h when the brakes are applied to both cars. Knowing that car A has a weight of 55,000 lb and car B has a weight of 44,000 lb and that the...
The 4-in.-radius wheel shown rolls to the left with a velocity of 45 in./s. Knowing that the distance AD is 2.5 in., determine the velocity of the collar and the angular velocity of rod AB when (a) ...
The properties and flow rates for the hot and cold fluids of a heat exchanger are shown in the following table. Which fluid limits the heat transfer rate of the exchanger? Explain yourchoice. Hot...
Underground water is being pumped into a pool whose cross section is 3 m 4 m while water is discharged through a 5-cm-diameter orifice at a constant average velocity of 5 m/s. If the water level in...
Is the isentropic process a suitable model for compressors that are cooled intentionally? Explain.
Knowing that WA = 40lb, WB = 52 lb, and θ =25°, determine (a) Whether the system is in equilibrium, (b) The magnitude and direction of the friction force. H, =0.35 H =0.25
One kilomole of an equimolar mixture of benzene and toluene is fed to a batch still containing three equivalent stages (including the boiler). The liquid reflux is at its bubble point, and L/D = 4....
The composition of moist air is given on a molar basis to be 78 percent N2, 20 percent O2, and 2 percent water vapor. Determine the mass fractions of the constituents of air.
An ideal steam power plant is designed to operate on the combined reheat and regenerative cycle and to produce a net power output of 10 MW. Steam enters the high-pressure turbine at 8 MPa, 550C, and...
A 250-kg crate B is suspended from a cable attached to a 20-kg trolley A which rides on an inclined I-beam as shown. Knowing that at the instant shown the trolley has an acceleration n of 0.4 m/s2 up...
Two 2.4-kg slender rods are bent to form two square frames which are welded at the one-third points of the 600-mm shaft AB to form the assembly shown. Knowing that the assembly rotates with an...