Calculate the stagnation temperature for air flowing at 200C and 1.5 atm if the velocity is 0.9 of the sonic velocity.

A vertical cylindrical reactor 2.5 m in diameter and 4 m high is cooled by spraying water on the top and allowing the water to flow down the outside wall. The water flow rate is 0.15 m 3 /min, and...

A vertical tubular condenser is to be used to condense 2,100 kg/h of ethyl alcohol. which enters at atmospheric pressure. Cooling water is to flow through the tubes at an average temperature of 30C....

An absorption column is fed at the bottom with a gas containing 5 percent benzene and 95 percent air. At the top of the column a nonvolatile absorption oil is introduced, which contains 0.2 percent...

Estimate the vapor pressure of ethanol at temperatures of T = 0, 50, 100, and 150C, using the following methods. A. The Antoine equation B. The Clausius-Clapeyron equation with H vap = 42.0 kJ/mol...

The reversible liquid-phase reaction A B is carried out in a 12-dm 3 CSTR with heat exchange. Both the entering temperature, T 0 , and the heat exchange fluid, Ta, are at 330 K. An equal molar...

The leaders power that is based on personal identification, imitation, and charisma is known as ______ power.

Laboratory tests of a membrane for \(\mathrm{H}_{2} / \mathrm{CH}_{4}\) separation gave a permeate composition of \(80 \% \mathrm{H}_{2}\) and a \(20 \%\) cut when the feed was \(50 \%...

A member having the dimensions shown is used to resist an internal bending moment of M = 90 kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown),...

The 200-kg block \(D\) is dropped from rest at a height \(h=1 \mathrm{~m}\) onto end \(C\) of the A992 steel W200 \(\times 36\) overhang beam. If the spring at \(B\) has a stiffness \(k=200...

What is the formal concentration (expressed as mol/L = M) of NaCl when 32.0 g are dissolved in water and diluted to 0.500 L?

What is the purpose of the trap in Figure 2-17 and the watchglass in Figure 2-20? Figure 2-17 Figure 2-20 Gooch filter crucible To air -Rubber adaptor -Glass funnel To house vacuum Porous glass Gooch...

When 22.63 mL of aqueous NaOH were added to 1.214 g of cyclohexylaminoethanesulfonic acid (FM 207.29, structure in Table 8-2) dissolved in 41.37 mL of water, the pH was 9.24. Calculate the molarity...

A 25.00-mL sample containing Fe3 [1] and Cu 2+ required 16.06 mL of 0.050 83 M EDTA for complete titration. A 50.00-mL sample of the unknown was treated with NH4F to protect the Fe 3+ . Then Cu 2+...

Convert the following potentials. The Ag | AgCl and calomel reference electrodes are saturated with KCl. (a) 0.523 V versus S.H.E. = ? versus Ag | AgCl (b) -0.111 V versus Ag | AgCl = ? versus S.H.E....

If a sample for spectrophotometric analysis is placed in a 10-cm cell, the absorbance will be 10 times greater than the absorbance in a 1-cm cell. Will the absorbance of the reagent-blank solution...

For each of the following systems, give two examples of how a mechanical engineer would be involved in its design. (a) Passenger automobile engine (b) Escalator (c) Computer hard disk drive (d)...

The wind power output per unit area swept by the rotor is 2.4 kW/m 2 . Convert this quantity to the dimensions of hp/ft 2 .

An engineer determines that a 40-cm-long rod of 1020 grade steel will be subjected to a tension of 20 kN. The following two design requirements must be met: The stress must remain below 145 MPa, and...

Convert the viscosity of mercury (1.5 x 10 -3 kg/(m s)) to the dimensions of slug/(ft s) and centipoise.

The fuel tank on a sport-utility wagon holds 14 gal of gasoline. How much heavier is the automobile when the tank is full compared to when it is empty?

The tie-down mount in Figure P5.23 is bolted to the deck of a cargo truck and restrains the steel cable under 1.2 kN of tension. Determine the shear stress in the 6-mm-diameter bolt. Neglect the...

Water flows through a 5-cm-diameter pipe at the average velocity of 1.25 m/s. (a) In the dimensions of L/s, what is the volumetric flow rate? (b) If the diameter of the pipe is reduced by 20% at a...

In a pipeline that connects a production oilfield to a tanker terminal, oil having density 1.85 slug/ft 3 and viscosity 6 x 10 3 slug/(ft s) flows through a 48-in.-diameter pipeline at 6 mph. What...

A 3/8 -in.-diameter bolt connects the marine propeller to a boats 1 1/4 -in. driveshaft (Figure P5.30). To protect the engine and transmission if the propeller accidentally strikes an underwater...

(a) A luxury sports car has a frontal area of 22.4 ft 2 and a 0.29 coefficient of drag at 60 mph. What is the drag force on the vehicle at this speed? (b) A sport-utility vehicle has C D = 0.45 at 60...

A certain parachute has a drag coefficient of C D = 1.5. If the parachute and skydiver together weigh 225 lb, what should the frontal area of the parachute be so that the skydivers terminal velocity...

A thin-walled sampling tube must be fabricated to obtain good-quality undisturbed clay samples of 75 mm diameter. What is the maximum possible wall thickness?

If a mass-spring system has Coulomb friction on the surface rather than viscous friction, its equation of motion is where is the coefficient of friction. Develop a Simulink model for the case where...

Force F acts on the frame such that its component acting along member AB is 650 lb, directed from B towards A. Determine the required angle (0 45) and the component acting along member BC. Set F =...

Refer to Figure P3.3. Use Eqs. (3.10) and (3.11) to determine the variation of OCR and preconsolidation pressure 'c. Figure P3.3 Eqs. (3.10) Eqs. (3.11) Dry sand y = 16.5 kN/m3 1.5 m Groundwater...

Replace the loading system acting on the post by an equivalent resultant force and couple moment at point B. 650 N 500 N 30 300 N 1500 N - m 60 A -3 m -5 m- m

A 1.5 m 2.0 m rectangular foundation is placed at 1.0 m depth in sand where ' = 40 and = 18.5 kN/m 3 . Bedrock is present at 1.0 m below the foundation. Using Eq. (7.3), determine the ultimate...

A 2.0 m wide continuous foundation is placed at 1.5 m depth in a saturated clay where c u = 40 kN/m 2 and = 18.5 kN/m 3 . At 2.0 m below the ground level, this clay layer is underlain by a stiffer...

A 2 m wide continuous foundation is placed at 1 m depth within a 1.5 m thick sand layer that is underlain by a weaker clay layer. The soil properties are as follows: Upper sand layer: unit weight =...

A 2.0 m 4.0 m flexible loaded area shown in Figure P9.6 applies a uniform pressure of 150 kN/m 2 to the underlying silty sand. Estimate the elastic settlement below the center of the foundation....

Determine the length b of the triangular load and its position a on the beam such that the equivalent resultant force is zero and the resultant couple moment is 8 kNm clockwise. 6 kN/m 2 kN/m 4 m

A 400 mm 400 mm square precast concrete pile of 15 m length is driven into a sand where = 18.0 kN/m 3 and ' = 33. Assuming ' = 0.7' and K = 1.4 K o , determine the load-carrying capacity of the...

A concrete pile 15.24 m long having a cross section of 406 mm 406 mm is fully embedded in a saturated clay layer for which g sat = 19.02 kN/m 3 , = 0, and c u = 76.7 kN/m 2 . Determine the...

Determine the area and the centroid x of the parabolic area. h

Figure P12.36 shows a 3 5 pile group consisting of 15 concrete piles of 400 mm diameter and 12 m in length. What would be the maximum load that can be allowed on the mat with a factor of safety of...

A 1 m diameter straight drilled shaft is shown in Figure P13.7. Determine the load-carrying capacity of the drilled shaft with FS = 3. Take '/' as 0.8 for the sand. Figure P13.7. Sand y = 18 kN/m3 o'...

Refer to Figure P13.9. Assume the botton 8 m to be hard rock and the following values. Spacing of discontinuity in rock = 500 mm Thickness of individual discontinuity in rock = 3 mm Estimate the...

Figure P17.1 shows a gravity retaining wall retaining a granular (c' = 0) backfill. The same soil is present at the bottom of the wall and on the left. The unit weight and the friction angle of the...

Determine the factor of safety of the retaining wall shown in Figure P17.3 with respect to overturning, sliding, and bearing capacity failure. Given: unit weight of concrete = 24.0 kN/m 3 , ' = 2/3',...

Locate the centroid (x,y) of the shaded area. 6 in. 3 in. 6 in. 6 in.

Determine the moment of inertia for the shaded area about the y axis. y -y? = 1 - x 1m 1 m -1m -

Determine the moment of inertia I x of the shaded area about the x axis. y -100 mm-100 mm- - 150 mm - 150 mm 75 mm 150 mm

Which geometric characteristics never reference datums? Why?

What is the difference between pound-mass and pound-force?

Reconsider Prob. 323E. Using appropriate software, determine the missing properties of water. Repeat the solution for refrigerant-134a, refrigerant-22, and ammonia.

An industrial engineer is investigating the effect of four assembly methods (A, B, C, D) on the assembly time for a color television component. Four operators are selected for the study. Furthermore,...

An AISI 4142 steel Q&T at 800F exhibits S yt = 235 kpsi, S yc = 285 kpsi, and f = 0.07. For the given state of plane stress, (a) Determine the factor of safety, (b) Plot the failure locus and the...

A rigid, adiabatic container is filled through a single opening from a source of working fluid whose properties remain fixed. How does the final specific entropy of the single-phase contents of this...

The maximum safe air pressure of a tire is typically written on the tire itself. The label on a tire indicates that the maximum pressure is 35 psi (gage). Express this maximum pressure in kPa. FIGURE...

Reconsider Prob. 2103. Using appropriate software, investigate the effect of the convection heat transfer coefficient on the surface temperature of the plate. Let the heat transfer coefficient vary...

A Segway Personal Transporter (PT) is a two-wheeled vehicle in which the human operator stands vertically on a platform. As the driver leans left, right, forward, or backward, a set of sensitive...

Repeat Problem 19 using nodal equations. Data From Problem 19: Find the transfer function, G(s) = V o (s)/V i (s), for each network shown in Figure P2.5. Solve the problem using mesh analysis. +...

Experience has shown that a manufacturer of rewritable CDs produces, on the average, only 1 defective CD in 100. Suppose that of the next 4 CDs manufactured, at least 1 is defective. What would you...

Solve the following state equation and output equation for y(t), where u(t) is the unit step. Use the Laplace transform method. -3 x+ u(t) -1 y = [1 0]x; x(0) =

Given the following system represented in state space, solve for Y(s) using the Laplace transform method for solution of the state equation: -2 -4 1 x+ |0 0 e- 0 -6 y = [0 0 1]x; x(0) =

Given the following state-space representation of a system, find Y(s): 1 x + sin 3t -3 3. y = [1 2]x; x(0) = %3D

Figure P4.16 shows the step response of an electric vehicles mechanical brakes when the input is the drive torque (N-m) and the output is the hydraulic brake pressure (bar) (Ringdorfer, 2011). a....

Two uniform spheres are positioned as shown. Determine the gravitational force which the titanium sphere exerts on the copper sphere. The value of R is 40 mm. y opper 2R 6R 35 R Titanium Problem 1/6

A train which is traveling at 80 mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 60 mi/hr as it passes a point 1/2...

Two configurations for raising an elevator are shown. Elevator A with attached hoisting motor and drum has a total mass of 900 kg. Elevator B without motor and drum also has a mass of 900 kg. If the...

The standard test to determine the maximum lateral acceleration of a car is to drive it around a 200-ft-diameter circle painted on a level asphalt surface. The driver slowly increases the vehicle...

The particle of mass m = 0.2 kg travels with constant speed v in a circular path around the conical body. Determine the tension T in the cord. Neglect all friction, and use the values h = 0.8 m and v...

The car of Prob. 3/61 is traveling at 25 mi/hr when the driver applies the brakes, and the car continues to move along the circular path. What is the maximum deceleration possible if the tires are...

The hollow tube assembly rotates about a vertical axis with angular velocity = = 4 rad /s and = = 2 rad /s 2 . A small 0.2-kg slider P moves inside the horizontal tube portion under the control...

Once under way at a steady speed, the 1000-kg elevator A rises at the rate of 1 story (3 m) per second. Determine the power input P in into the motor unit M if the combined mechanical and electrical...

The cars of an amusement-park ride have a speed v 1 = 90 km/h at the lowest part of the track. Determine their speed v 2 at the highest part of the track. Neglect energy loss due to friction....

The rigid assembly which consists of light rods and two 1.2-kg spheres rotates freely about a vertical axis. The assembly is initially at rest and then a constant couple M = 2 N m is applied for 5 s....

A 60-g bullet is fired horizontally with a velocity v 1 = 600 m/s into the 3-kg block of soft wood initially at rest on the horizontal surface. The bullet emerges from the block with the velocity v 2...

The 90-kg man dives from the 40-kg canoe. The velocity indicated in the figure is that of the man relative to the canoe just after loss of contact. If the man, woman, and canoe are initially at rest,...

Compute the final velocities v 1 and v 2 after collision of the two cylinders which slide on the smooth horizontal shaft. The coefficient of restitution is e = 0.8. v1 = 7 m/s U2 = 1 m/s %3D m1 = 2...

The 2-kg sphere is projected horizontally with a velocity of 10 m /s against the 10-kg carriage which is backed up by the spring with stiffness of 1600 N/m. The carriage is initially at rest with the...

The assembly of two 5-kg spheres is rotating freely about the vertical axis at 40 rev/min with = 90. If the force F which maintains the given position is increased to raise the base collar and...

A system is represented by the state and output equations that follow. Without solving the state equation, find a. The characteristic equation; b. The poles of the system 0 2 3 i = 0 6 5x+ 1 u(t) 4 2...

A system is represented by the state and output equations that follow. Without solving the state equation, find the poles of the system. X = -4 3. x+ -2 u(t) y = [5 1]x

If v i (t) is a step voltage in the network shown in Figure P4.25, find the value of the resistor such that a 20% overshoot in voltage will be seen across the capacitor if C = 10 -6 F and L = 1 H. R...

For the unity feedback system shown in Figure P7.1, where find the steady-state errors for the following test inputs: 25u(t); 37tu(t); 47t 2 u(t). 450(s + 8)(s + 12)(s+ 15) G(s) = s(s + 38)(s + 2s+...

The two attached pulleys are driven by the belt with increasing speed. When the belt reaches a speed v = 2 ft/sec, the total acceleration of point P is 26 ft/sec 2 . For this instant determine the...

The thin hoop of negligible mass and radius r contains a homogeneous semicylinder of mass m which is rigidly attached to the hoop and positioned such that its diametral face is vertical. The assembly...

Briefly describe the difference between an edge dislocation and a screw dislocation.

Some instruments having angular motion are damped by means of a disk connected to the shaft . The disk, in turn, is immersed in a container of oil, as shown. Derive a formula for the damping torque...

Is the block in this figure stable floating in the position shown? Show your calculations. L= 3H - W= 2H- H H Water

A pipe 15 cm in diameter bends through 135. The velocity of flow of gasoline (SG = 0.8) is 8 m/s, and the pressure is 100 kPa gage throughout the bend. Neglecting gravitational force, determine the...

State Newtons second law of motion. What are the limitations on the use of Newtons second law? Explain.

How long will it take the water surface in the tank shown to drop from h = 3 m to h = 50 cm? 60 cm diameter h 3 cm diameter V= V2gh

A bicyclist is capable of delivering 275 W of power to the wheels. How fast can the bicyclist travel in a 3 m/s headwind if his or her projected area is 0.5 m 2 , the drag coefficient is 0.3, and the...

Flow over a rectangular plate produces an average wall shear stress of 1.2 pascals. Calculate the friction drag in units of N. The plate dimensions are 1.5 m by 2.0 m. The plate is inclined at 20...

Air at 60F and atmospheric pressure flows in a horizontal duct with a cross section corresponding to an equilateral triangle (all sides equal). The duct is 100 ft long, and the dimension of a side is...

What is the head loss in terms of V 0 2 /2g for the flow nozzle shown? Vo D 3

An electric hand mixer draws 1.5 amperes at 110 volts. It is used to mix 1 kg of cookie dough for 5 minutes. After mixing, the temperature of the cookie dough is found to have increased by 5C. If the...

Justify the following equations: ( - VR aln T P.x RT RT2 T.x GR Ex, In Exd In = 0 (const T, P) RT

If the molar density of a binary mixture is given by the empirical expression: find the corresponding expressions for V 1 and V 2 p= ag + ajx1 +a2xf

Consider a binary liquid mixture for which the excess Gibbs energy is given by G E /RT = Ax 1 x 2 (x 1 + 2x 2 ). What is the minimum value of A for which liquid/liquid equilibrium is possible?

Given below are values of G E /Jmol 1 , H E /Jmol 1 , and C E P / J mol 1 K 1 for some equimolar binary liquid mixtures at 298.15 K. Estimate values of G E , H E , and S E at 328.15 K for one of...

Determine the output voltage of an op-amp for input voltages of V i1 = 200 mV and V i2 = 140 mV. The amplifier has a differential gain of Ad = 6000 and the value of CMRR is: a. 200. b. 10 5 .