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.
Table 6.2 lists the range of typical volume flow rates for centrifugal fire-fighting pumps to be 500 to 2500 gal/min. Express this range in the units of ft 3 /s and m 3 /s. Flow rate (m/h) Type of...
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.
Calculate the diameter of a pipe that would carry 75.0 ft 3 / s of a liquid at an average velocity of 10.0 ft/s.
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...
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...
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...
At what angle should a ball be thrown so that it has the maximum range? Ignore air drag.
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
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.
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?
For the network in Fig. 2.89 , find the current, voltage, and power associated with the 20-kΩ resistor. 5 mA 10 k2 0.01V. V. 5 k2 20 k2
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 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...
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...
The inlet and the outlet shown in Fig. 10.36 (a) are to be connected with a 50 mm OD Ã 2.0 mm wall copper tube to carry 750 L/min of propyl alcohol at 25°C. Evaluate the two schemes shown...
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...
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...
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) =...
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,...
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...
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...
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?
The objective of this problem is to use Verilog to describe and simulate a multiplier for signed binary numbers using Booths algorithm. Negative numbers should be represented by their 2s complement....
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...
For the channel designed in Problem 14.32, compute the normal discharge that is expected for a slope of 0.12 percent if the channel is made from painted steel. In Problem Compute the flow area and...
Figure 14.21 represents the approximate shape of a natural stream channel with levees built on either side. The channel is earth with grass cover. Use n = 0.04. If the average slope is 0.000 15,...
Determine the normal discharge for an aluminum rain spout with the shape shown in Fig. 14.19 that runs at the depth of 3.50 in. Use n = 0.013. The spout falls 4 in over a length of 60 ft. 6 in 3.50...
Water is flowing in a formed, unfinished concrete rectangular channel 3.5 m wide. For a depth of 2.0 m, calculate the normal discharge and the Froude number of the flow. The channel slope is 0.1...
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...
A friend of yours is asked to design a swing using two ropes attached to the branch of a tree, and he shows you the design as sketched in Figure Q11.1. Explain why this design will not work very...
Explain why the childs hair in Figure Q17.8 is standing on end. Figure Q17.8
Two particles with electric charges Q and -3Q are separated by a distance of 1.2 m. (a) If Q = 4.5 C, what is the electric force between the two particles? (b) If Q = -4.5 C, how does the answer...
The children in Figure Q17.8 are rubbing balloons on their hair and then placing the balloons on the wall and ceiling. If the rubbing process puts excess electrons on the balloon, how does the...
A particle of positive charge is released from rest and is found to move as a result of an electric force. Does the particle move to a region of higher or lower potential energy? Does the particle...
Repeat Question 6 for an electron. Data From Problem 6 A particle of positive charge is released from rest and is found to move as a result of an electric force. Does the particle move to a region of...
An electron is moved from an initial location where the potential is V i = 30 V to a final location where V f = 150 V. What is the change in the electrons potential energy? Express your answer in...
A proton moves from a location where V = 75 V to a spot where V = -20 V. (a) What is the change in the protons kinetic energy? (b) If we replace the proton with an electron, what is the change in...
An incandescent lightbulb contains a fi lament that has a certain electrical resistance R. The brightness of the bulb depends on the current and increases as the current through the fi lament is...
If the diameter of a piece of wire is reduced by a factor of 2.5, by what factor does the resistance change?
If the current through a resistor is increased by a factor of 3, by what factor does the voltage change?