A storage tank for sulfuric acid is 1.5 m in diameter and 4.0 m high. If the acid has a specific gravity of 1.80, calculate the pressure at the bottom of the tank. The tank is open to the atmosphere...
For the manometer shown in Fig. 3.29, calculate (p A - p B ). Oil l 150 mm (sg = 0.90) Water 750 mm Mercury (sg = 13.54) 500 mm
Figure 3.35 shows an inclined well-type manometer in which the distance L indicates the movement of the gage fluid level as the pressure pA is applied above the well. The gage fluid has a specific...
The pressure in a vacuum chamber is -68.2 kPa. Express this pressure in mmHg.
An exhaust system for a room creates a partial vacuum in the room of 1.20 in of water relative to the atmospheric pressure outside the room. Compute the net force exerted on a 36- by 80-in door to...
Refer to Fig. 4.32. 30 Orange (sg - 1.10) drink 3.0 m 4.6 m 2.4-m diameter 1.2 m Circular view port
If the tank in Fig. 4.42 is filled just to the bottom of the filler pipe with gasoline (sg = 0.67), calculate the magnitude and location of the resultant force on the flat end. 375 mm 300 mm-...
Consider the plane electromagnetic wave in vacuum (in SI units) given by the expressions E x = 0, E y = 2 cos [2 10 14 (t - x/c) + /2], and E z = 0. (a) What are the frequency, wavelength, direction...
Consider a linearly polarized plane electromagnetic wave traveling in the +x-direction in free space having as its plane of vibration the xy-plane. Given that its frequency is 10 MHz and its...
The shape of the interface pictured in Fig. P.5.1 is known as a Cartesian oval after René Descartes, who studied it in the 1600s. Its the perfect configuration to carry any ray from S to...
A cube has side dimensions of 18.00 in. It is made of steel having a specific weight of 491 lb/ft 3 . What force is required to hold it in equilibrium under mercury?
A cylindrical block of wood is 1.00 m in diameter and 1.00 m long and has a specific weight of 8.00 kN/m 3 . Will it float in a stable manner in water with its axis vertical?
A barge is 60 ft long, 20 ft wide, and 8 ft deep. When empty, it weighs 210 000 lb, and its center of gravity is 1.5 ft above the bottom. Is it stable when floating in water?
Convert 459 gal/min to m 3 /s.
A small metering pump delivers 11.4 gal of a water treatment chemical per 24 h. Express this flow rate in ft 3 /s.
Oil for a hydraulic system (sg = 0.90) is flowing at 2 .35 10 -3 m 3 /s . Calculate the weight flow rate and mass flow rate.
Figure 6.16 shows a fabricated assembly made from three different sizes of standard steel tubing listed in Appendix G.2. The larger tube on the left carries 0.072 m 3 /s of water. The tee branches...
A standard Schedule 40 steel pipe is to be selected to carry 10 gal/min of water with a maximum velocity of 1.0 ft/s. What size pipe should be used?
If water at 180 F is flowing with a velocity of 4.50 ft/s in a standard 6-in Schedule 40 pipe, calculate the weight flow rate in lb/h.
Repeat Problem 6.45, except specify suitable sizes for the suction lines to maintain the velocity between 2.0 ft/s and 7.0 ft/s for 30 gal/min of flow. Repeat Problem The recommended velocity of flow...
Table 6.2 shows the typical volume flow rate for centrifugal fire-fighting pumps is in the range of 1800 L/min to 9500 L/min. Specify the smallest suitable DN size of Schedule 40 steel pipe for each...
Pulling gs. Suppose again you are the astronaut in Problem 9. When most people are subjected to an acceleration greater than about 5 g, they will usually become unconscious (black out). Will you be...
A hockey puck slides along a rough, icy surface. It has an initial velocity of 35 m/s and slides to a stop after traveling a distance of 95 m. Find the coefficient of kinetic friction between the...
Give an example of motion in which the acceleration and the velocity are in opposite directions.
A driver makes an emergency stop and inadvertently locks up the brakes of the car, which skids to a stop on dry concrete. Consider the effect of rain on this scenario. If the coefficients of kinetic...
Consider a swimmer who wants to swim directly across a river as in Example 4.7. If the speed of the current is 0.30 m/s and the swimmers speed relative to the water is 0.60 m/s, how long will it take...
An airplane is flying horizontally with a constant velocity of 200 m/s at an altitude of 5000 m when it releases a package. (a) How long does it take the package to reach the ground? (b) What is the...
A swimmer is able to swim at a speed of 0.90 m/s in still water. (a) How long does it take the swimmer to go a distance of 1500 m in still water? Call this time t 1 . (b) The swimmer then decides to...
A flag of mass 2.5 kg is supported by a single rope as shown in Figure P4.9. A strong horizontal wind exerts a force of 12 N on the flag. Find the tension in the rope and the angle u the rope makes...
A system of cables is used to support a crate of mass m = 45 kg as shown in Figure P4.7. Find the tensions in all three cables. Figure P4.7 T3 T1 K60 T2
At what angle should a ball be thrown so that it has the maximum range? Ignore air drag.
What depth of fluid above the outlet nozzle is required to deliver 200 gal/min of water from the tank shown in Fig. 6.37? The nozzle has a 3-in diameter. Figure 6.37 -D, - 75-mm diameter D,- 25-mm...
For the siphon in Fig. 6.26, assume that the volume flow rate is 5.6 10 -3 m 3 /s. Determine the maximum allowable distance Y if the minimum allowable pressure in the system is -18 kPa (gage).
For the siphon in Fig. 6.26, calculate (a) the volume flow rate of water through the nozzle and (b) the pressure at points A and B. The distances X = 4.6 m and Y = 0.90 m. +B Water 50-mm OD - x...
Calculate the pressure of the air in the sealed tank shown in Fig. 6.25 that would cause the velocity of flow to be 20 ft/s from the nozzle. The depth h is 10 ft. Air under pressure Water 3-in...
Compute the resulting velocity of flow if 400 gal/min of fluid flows through a 4-in Schedule 40 pipe.
Water flows at 1.20 m/s in a circular section with a 150 mm inside diameter. Calculate the velocity of flow in a 300-mm-diameter section connected to it.
Gasoline (sg = 0.67) is flowing at 4.0 ft 3 /s in the fabricated reducer shown in Fig. 6.34. If the pressure before the reduction is 60 psig, calculate the pressure in the 3-indiameter section.
The setup shown in Fig. 7.16 is being used to measure the energy loss across a valve. The velocity of flow of the oil is 1.2 m/s. Calculate the value of K if the energy loss is expressed as K(v 2...
A horizontal pipe carries oil with a specific gravity of 0.83. If two pressure gages along the pipe read 74.6 psig and 62.2 psig, respectively, calculate the energy loss between the two gages.
Calculate the Reynolds number for the flow of each of the following fluids in a 2-in Schedule 40 steel pipe if the volume flow rate is 0.25 ft 3 /s: (a) Water at 60F, (b) Acetone at 77F, (c) Castor...
Determine the smallest metric hydraulic copper tube size that will carry 4 L/min of the following fluids while maintaining laminar flow: (a) Water at 40C, (b) Gasoline (sg = 0.68) 25C, (c) Ethyl...
A rechargeable flashlight battery is capable of delivering 90 mA for about 12 h. How much charge can it release at that rate? If its terminal voltage is 1.5 V, how much energy can the battery deliver?
Find V x in the circuit of Fig. 2.85. 2 Vx +, ww- 15 V
Determine the number of branches and nodes in the circuit of Fig. 2.71. 1 4 352 12 V 2 A
Determine the node voltages in the circuit in Fig. 3.67 using nodal analysis. 300 V 40 40 1 20 15 A 40 2.
Use nodal analysis to find V o in the circuit of Fig. 3.72 . 3V 30 60 30 . 30 V 60 +1
Use mesh analysis to obtain i a , i b , and i c in the circuit in Fig. 3.84 . 5 20 la 10 : 15 30 V(+ 45 V
For the circuit shown in Figure 5.57 , solve for the Thevenin equivalent circuit looking into terminals A and B. 10 k2 10 k2 +, +, 2.5 2
Determine the Norton equivalent at terminals a-b for the circuit in Fig. 4.115 . 10/, ww- 5 A
For the circuit in Fig. 4.90 , use source transformation to find i. 5 10 2 A +) 20 V 5 4
Find the Norton equivalent with respect to terminals a-b in the circuit shown in Fig. 4.104 . 30 V 20 k2 +) : 10 k 6 k2 6 mA ob
An existing fixture inserts the velocity probe described in Problem 9.5 exactly 60.0 mm from the outside surface of the pipe. If the probe reads 2.48 m/s, compute the actual average velocity of flow,...
An alternative scheme for using the velocity probe described in Problem 9.5 is to place it in the middle of the pipe, where the velocity is expected to be 2.0 times the average velocity. Compute the...
Compute points on the velocity profile from the tube wall to the centerline of a plastic pipe, 125 mm OD 7.4 mm wall, if the volume flow rate of gasoline (sg = 0.68) at 25C is 3.0 L/min. Use...
In Fig. 9.26, ethylene glycol (sg = 1.10) at 77°F flows around the tubes and inside the rectangular passage. Calculate the volume flow rate of ethylene glycol in gal/min required for the flow to...
A simple heat exchanger is made by installing a close return bend on two ½-in Schedule 40 steel pipes as shown in Fig. 10.32. Compute the pressure difference between the inlet and the outlet...
Determine the energy loss when oil with a specific gravity of 0.87 flows from a 4-in pipe to a 2-in pipe through a sudden contraction if the velocity of flow in the larger pipe is 4.0 ft/s.
Determine the energy loss due to a sudden enlargement from a standard 1-in Schedule 80 pipe to a 3 1/2-in Schedule 80 pipe when the rate of flow is 0.10 ft 3 /s.
Determine the energy loss due to a sudden enlargement from a standard DN 25 Schedule 80 steel pipe to a DN 90 mm Schedule 80 steel pipe when the rate of flow is 3 10 -3 m 3 /s.
A 25 mm OD 2.0 mm wall copper tube supplies hot water (80C) to a washing system in a factory at a flow rate of 250 L/min. At several points in the system, a 90 bend is required. Compute the energy...
Turpentine at 77F is flowing from A to B in a 3-in coated ductile iron pipe. Point B is 20 ft higher than point A and the total length of the pipe is 60 ft. Two 90 long-radius elbows are installed...
Figure 12.14 represents the water distribution network in a small industrial park. The supply of 15.5 ft 3 /s of water at 60 F enters the system at A. Manufacturing plants draw off the indicated...
Consider a roller coaster as it travels near the bottom of its track as sketched in Figure P5.23. At this point, the normal force on the roller coaster is three times its weight. If the speed of the...
The switch in Fig. 8.69 moves from position A to position B at t = 0 (please note that the switch must connect to point B before it breaks the connection at A, a make-before-break switch). Let v(0) =...
Three lead balls of mass m 1 = 15 kg, m 2 = 25 kg, and m 3 = 9.0 kg are arranged as shown in Figure P5.37. Find the total gravitational force exerted by balls 1 and 2 on ball 3. Be sure to give the...
Determine the current that flows through an 20- resistor connected to a voltage source v s = 120 cos (377t + 37) V.
In the circuit of Fig. 9.54 , determine the value of is(t). Is (t) 22 ww 2 mH ell 115 cos 2,000t V 20 2 50 F (+1)
Assuming that the switch in Fig. 7.87 has been in position A for a long time and is moved to position B at t = 0, Then at t = 1 second, the switch moves from B to C. Find v C (t) for t ¥ 0. 10 )...
For the 2 Ã 3 - 10 centrifugal pump performance curve shown in Fig. 13.28, at what head will the pump having an 8-in impeller operate at its highest efficiency? List the pumps capacity, power...
The image of a red rose is formed by a concave spherical mirror on a screen 100 cm away. If the rose is 25 cm from the mirror, determine its radius of curvature.
We wish to project an image of a frog on a screen. The image is to be twice life-size. If a thin convex-planar lens has a radius of curvature of 100 cm and is made of glass (n g = 1.50), and if it is...
Figure P.6.34 shows the distribution of light corresponding to the image arising when a monochromatic point source illuminates two different optical systems each having only one type of aberration....
A Moore sequential circuit has one input and one output. The output goes to 1 when the input sequence 111 has occurred, and the output goes to 0 if the input sequence 000 occurs. At all other times,...
In the following circuit, the XOR gate has a delay in the range of 2 to 16 ns. The D flip-flop has a propagation delay from clock to Q in the range 12 to 24 ns. The setup time is 8 ns, and the hold...
A synchronous (4-bit) up/down decade counter with output Q works as follows: All state changes occur on the rising edge of the CLK input, except the synchronous clear (CLR). When CLR = 0, the counter...
For laser action to occur, the medium used must have at least three energy levels. What must the nature of each of these levels be?
Consider the following 8-bit bidirectional synchronous shift register with parallel load capability. The notation used to represent the input/output pins is explained as follows: CLR Asynchronous...
A synchronous 4-bit UP/DOWN binary counter has a synchronous clear signal CLR and a synchronous load signal LD. CLR has higher priority than LD. Both CLR and LD are active high. D is a 4-bit input to...
In the circuit of Fig. 13.86 , Z L is a 15-mH inductor having an impedance of j40 Ω. Determine Z in when k = 0.6. k 22 Q 60 Q 30 mH 12 mH Zin ell
For the channel designed in Problem 14.33, compute the normal discharge that is expected for a slope of 0.12 percent if the channel is made from painted steel. Compare the result with that from...
It is desired to carry 2.00 m 3 /s of water at a velocity of 3.0 m/s in a rectangular open channel. The bottom width is 0.80 m. Compute the depth of the flow and the hydraulic radius.
The switch in Fig. 16.77 has been in position 1 for t < 0. At t = 0, it is moved from position 1 to the top of the capacitor at t = 0. Please note that the switch is a make before break switch; it...
Determine i o (t) in the network shown in Fig. 16.70 . 20 + 40u(t) V (t 2 H -/4
Solve for the mesh currents in the circuit of Fig. 16.57 . You may leave your results in the s-domain. 1H 20u(t) V (+ H ( 12
Mount McKinley (also called Denali) is the tallest mountain in North America, with a height of 6200 m above sea level. If a person of mass 120 kg walks from sea level to the top of Mount McKinley,...
As weve seen, Eq. (7.33) describes the beat pattern. Lets now derive a different version of that expression assuming that the two overlapping equal-amplitude cosine waves have angular spatial...
A vehicle is to be propelled by a jet of water impinging on a vane as shown in Fig. 16.18. The jet has a velocity of 30 m/s and issues from a nozzle with a diameter of 200 mm. Calculate the force on...
Consider two cars, one a compact model (m = 800 kg) and the other an SUV (m = 2500 kg). The SUV is traveling at 10 m/s, while the compact car is traveling at an unknown speed v. If the two cars have...
What is the magnitude of the momentum of a baseball (m = 0.14 kg) traveling at a speed of 100 mi/h? Express your answer in SI units.
Considering the double-slit experiment, derive an equation for the distance y m' from the central axis to the m'th irradiance minimum, such that the first dark bands on either side of the central...
Figure P.9.5 shows an output pattern that was measured by a tiny microphone when two small piezo-loudspeakers separated by 15 cm were pointed toward the microphone at a distance of 1.5 m away. Given...
Left-circular light of wavelength 590 nm traveling in the z-direction is to be converted into right-circular light by passing perpendicularly through a plate of quartz. The quartz has been cut and...
Take two ideal Polaroids (the first with its axis vertical and the second, horizontal) and insert between them a stack of 10 half-wave plates, the first with its fast axis rotated /40 rad from the...
A force of magnitude F is applied to a rod at various spots and at various angles (Fig. Q8.16). In which case, (1), (2), or (3), is the magnitude of the torque largest? Smallest? Figure Q8.16 Hinge 3)
A cylinder rolls without slipping down an incline that makes a 30 angle with the horizontal. What is the acceleration of the cylinder?
The energy per unit area per unit time per unit wavelength interval emitted by a blackbody at a temperature T is given by At a specific temperature, the total power radiated per unit area of the...
A block of mass 20 g sits at rest on a plate that is at the top of the fluid on one side of a U-tube as shown in Figure P10.38. The U-tube contains two different fluids with densities 1 = 1000 kg/m...
We want to make a Fresnel zone plate with a principal focal length of 2.00 m for krypton ion laser light of wavelength 647 nm. How big should the central transparent disk be? If it has 30 transparent...
Figure P11.3 shows the displacement of a simple harmonic oscillator as a function of time. (a) Find the period, frequency, and amplitude of the oscillator.? (b) At what time(s) does the acceleration...