For a given centrifugal pump, if the speed of rotation of the impeller is cut in half, how does the power required to drive the pump change?

For a given centrifugal pump, if the speed of rotation of the impeller is cut in half, how does the total head capability change?

For a given centrifugal pump, if the speed of rotation of the impeller is cut in half, how does the capacity change?

Referring to the Dove prism in Fig. 5.73, rotate it through 90° about an axis along the ray direction. Sketch the new configuration and determine the angle through which the image is rotated....

A homemade telephoto lens (Fig. P.5.86) consists of two spherical mirrors. The radius of curvature is 2.0 m for the primary (the big mirror) and 60 cm for the secondary (the small mirror). How far...

Examine Velásquezs painting of Venus and Cupid (Fig. P.5.62). Is Venus looking at herself in the mirror? Explain. Fig. P.5.62

Manets painting A Bar at the Folies Bergères (Fig. P.5.63) shows a girl standing in front of a large planar mirror. Reflected in it is her back and a man in evening dress with whom she...

Compute the image location and magnification of an object 30 cm from the front doublet of the thin-lens combination in Fig. P.5.47. Do the calculation by finding the effect of each lens separately....

A biconcave lens (n l = 1.5) has radii of 20 cm and 10 cm and an axial thickness of 5 cm. Describe the image of an object 1-inch tall placed 8 cm from the first vertex. Use the thin-lens equation to...

Return to Problem 5.7 and suppose we cut off the medium on the right, forming a thick water biconvex lens, with each surface having a radius of curvature of 5.00 cm. If the lens is 10.0 cm thick,...

Saturn makes one complete orbit of the Sun every 29.4 years. Calculate the radius of the orbit of Saturn.

Figure P2.27 shows the velocity???time curve of a falling brick. Make a careful estimate of the slope to find the acceleration of the brick at t 5 3.0 s. Figure P2.27 ? 0+i-23456- t (s) - 10- -20 -30...

A rock of mass m = 1.5 kg is tied to a string of length L = 2.0 m and is twirled in a vertical circle as shown in Figure 5.10. The speed v of the rock is constant; that is, it is the same at the top...

Imagine two identical double-convex thick lenses separated by a distance of 20 cm between their adjacent vertices. Given that all the radii of curvature are 50, the refractive indices are 1.5, and...

A convex-planar lens of index 3/2 has a thickness of 1.2 cm and a radius of curvature of 2.5 cm. Determine the system matrix when light is incident on the curved surface.

A concave-planar glass (n = 1.50) lens in air has a radius of 10.0 cm and a thickness of 1.00 cm. Determine the system matrix and check that its determinant is 1. At what positive angle (in radians...

Referring back to Fig. 6.18a, show that when PÌ'CÌ = Rn 2 /n 1 and PÌCÌ = Rn 1 /n 2 all rays originating at P appear to come from P'. Fig. 6.18a 2 R- R

A full subtracter computes the difference of three inputs X, Y, and B in , where Diff = X - Y - B in . When X < (Y + B in ), the borrow output B out is set. Fill in the truth table for the subtracter...

(a) Find all the static hazards in the following circuit. State the condition under which each hazard can occur. (b) Redesign the circuit so that it is free of static hazards. Use gates with at most...

Construct a clocked D flip-flop, triggered on the rising edge of CLK, using two transparent D latches and any necessary gates. Complete the following timing diagram, where Q 1 and Q 2 are latch...

(a) Implement the traffic-light controller of Figure 4-14 using a module 13 counter with added logic. The counter should increment every clock, with two exceptions. Use a ROM to generate the outputs....

Find a minimum-row PLA table to implement the following sets of functions: (a) f 1 (A, B, C, D) = m(0, 2, 3, 6, 7, 8, 9, 11, 13), f 2 (A, B, C, D) = m(3, 7, 8, 9, 13), f 3 (A, B, C, D) = m(0, 2, 4,...

The magnetic poles of the earth are called geomagnetic poles. Is the north geomagnetic pole a north magnetic pole or a south magnetic pole?

Determine the Laplace transform of 3.5 cos (5t 45).

A parallel resonance circuit has a resistance of 2 k and half-power frequencies of 86 kHz and 90 kHz. Determine: (a) The capacitance (b) The inductance (c) The resonant frequency (d) The bandwidth...

Using Fig. 14.80 , design a problem to help other students better understand the quality factor, the resonant frequency, and bandwidth of RLC circuits. For the circuits in Fig. 14.80, find the...

It is expected that a parallel RLC resonant circuit has a midband admittance of 25 10 3 S, quality factor of 120, and a resonant frequency of 200 krad/s. Calculate the values of R, L, and C. Find...

Find the transfer function H(Ï) with the Bode magnitude plot shown in Fig. 14.74 . H (dB) -20 dB/decade 20 -20 @ (rad/s) 2 20 100

Given I 2 = 2 A, determine the value of Is in Fig. 13.106 . 1:5 10 125 2

A 2402,400-V rms step-up ideal transformer delivers 50 kW to a resistive load. Calculate: (a) The turns ratio. (b) The primary current. (c) The secondary current.

Find the Thevenin equivalent to the left of the load Z in the circuit of Fig. 13.87 . k = 0.5 -j4 2 j2 N ell Ej20 2 j5 Q 440/0 V (+ 4 +j6 Q

Using Fig. 13.73 , design a problem to help other students better understand mutual inductance. Determine the inductance of the three series-connected inductors of Fig. 13.73. M23 M12 ll ll ll L

For the three coupled coils in Fig. 13.72 , calculate the total inductance. 4 H 10 H ele 16 H ell 20 H 12 H

The Thevenin impedance of a source is Z Th = 120 + j60 , while the peak Thevenin voltage is V Th = 165 + j0 V. Determine the maximum available average power from the source.

Using Fig. 11.36 , design a problem to help other students better understand instantaneous and average power. Find the average power dissipated by the resistances in the circuit of Fig. 11.36....

Using Fig. 10.95 , design a problem to help other students understand source transformation. Use source transformation to find v o in the circuit in Fig. 10.95. R1 all R2 Vo v(t) +1)

Use mesh analysis to determine current I o in the circuit of Fig. 10.79 below. lo j60 2 20 2 80 2 ll -j40 2 -j40 2 50/120 V 30/-30 V

A flow nozzle similar to that shown in Fig. 15.4 is used to measure the flow of water at 120F. The pipe is 6-in Schedule 80 steel. The nozzle diameter is 3.50 in. Determine the pressure difference...

A rectangular channel must carry 2.0 m 3 /s of water from a water-cooled refrigeration condenser to a cooling pond. The available slope is 75 mm over a distance of 50 m. The maximum depth of flow is...

Repeat Problem 14.6 for a depth of 3.50 in. Repeat Problem Compute the hydraulic radius for the section shown in Fig. 14.19 if water flows at a depth of 2.0 in. The section is that of a rain gutter...

Using Fig. 19.97 , design a problem to help other students better understand how to find g parameters in an ac circuit. Find the g parameters for the circuit in Fig.19.97. -jXc jXL

Using Fig. 17.51 , design a problem to help other students better understand how to determine the exponential Fourier series from a periodic wave shape. Obtain the exponential Fourier series of the...

Determine i(t) for t > 0 in the circuit of Fig. 16.66 . t = 0 Li(t) 5 H3 2% F 36 V (+ 5

Given the circuit in Fig. 16.65 , find i(t) and v(t) for t > 0. i(t) 1H v(t) 1 2 t = 0 180 V (+ 1/4 ll

In the circuit of Fig. 16.63 , find v(t) and i(t) for t > 0. Assume v(0) = 0 V and i(0) = 1.25 A. 5u(t) A + 0.5 F 1H ll

Find v o (t), for all t > 0, in the circuit of Fig. 16.53 . 7u(t) V ) 3.5u(t) A 0.5 F+vo 1H

In the circuit of Fig. 16.44 , the switch moves (make before break switch) from position A to B at t = 0. Find v(t) for all t ¥ 0. t = 0 0.25 H 2.5 A (4 v(t) 0.04 F 10 2

A bomb that is initially at rest breaks into several pieces of approximately equal mass, two of which are shown with their velocity vectors in Figure Q7.1. Use conservation of momentum to determine...

Two crates of mass m 1 = 40 kg and m 2 = 15 kg are connected by a mass less rope that passes over a mass less, friction less pulley as shown in Figure P6.45. The crates start from rest. (a) Add a...

A horizontal force of 15 N pulls a block of mass 3.9 kg across a level floor. The coefficient of kinetic friction between the block and the floor is K = 0.25. If the block begins with a speed of 8.0...

Consider an object undergoing uniform circular motion. We know from Chapter 5 that circular motion is caused by a force that is directed toward the center of the circle. What is the work done by this...

Figure P.7.21 shows a carrier of frequency vc being amplitude modulated by a sine wave of frequency Ï m , that is, E = E 0 (1 + α cos Ï m t) cos Ï c t Show that this is...

Consider the periodic function defined over one wavelength by (x) = (kx) 2 where - < kx < which repeats over and over again with a period of 2. Draw a diagram of (x) and determine the corresponding...

Take the function Æ(θ) = θ 2 in the interval 0 < θ < 2Ï and assume it repeats itself with a period of 2Ï . Now show that the Fourier expansion...

Change the upper limit of Eq. (7.59) from to α and evaluate the integral. Leave the answer in terms of the so-called sine integral: which is a function whose values are commonly...

A bulk liquid transport truck incorporates a cylindrical tank 2 m in diameter and 8 m long. For the tank alone, calculate the pressure drag when the truck is traveling at 100 km/h in still air at 0C.

Determine the wind velocity required to overturn the mobile home sketched in Fig. 17.14 if it is 10 m long and weighs 50 kN. Consider it to be a square cylinder. The width of each tire is 300 mm. The...

A ship tows an instrument in the form of a 30 cone, point first, at 7.5 m/s in seawater. If the base of the cone has a diameter of 2.20 m, calculate the force in the cable to which the cone is...

Repeat Problem 16.29, except with the blade rotating as a part of the wheel at a radius of 200 mm and with a linear tangential velocity ranging from 0 to 25 m/s in 5-m/s steps. Repeat Problem Figure...

A part of an inspection system in a packaging operation uses a jet of air to remove imperfect cartons from a conveyor line, as shown in Fig. 16.19. The jet is initiated by a sensor and timed so that...

Calculate the force required to hold a flat plate in equilibrium perpendicular to the flow of water at 25 m/s issuing from a 75-mm-diameter nozzle.

For the conditions of Problem 18.37, compute the magnitude of the sonic velocity in the nozzle. In Problem Air flows from a large tank through a smooth convergent nozzle into the atmosphere, where...

Assume that Fig. 17.11 shows the performance of the wing on the race car shown in Fig. 17.15. Note that it is mounted in the inverted position, so the lift pushes down to aid in skid resistance....

A bullet of mass 15 g is fired with an initial speed of 300 m/s into a wooden block that is initially at rest. The bullet becomes lodged in the block, and the bullet and block then slide together on...

Newtons rings are observed on a film with quasimonochromatic light that has a wavelength of 500 nm. If the 20th bright ring has a radius of 1.00 cm, what is the radius of curvature of the lens...

A wedge-shaped air film between two flat sheets of glass is illuminated from above by sodium light ( 0 = 589.3 nm). How thick will the film be at the center of the 173rd bright fringe (counted from...

A line source of sodium light ( 0 = 589.3 nm) illuminates a Lloyds mirror 10.0 mm above its surface. A viewing screen is 5.00 m from the source and the whole apparatus is in air. How far apart are...

Show that α for the Fresnel biprism of Fig. 9.23 is given by α = 2d(n - 1)α. Fig. 9.23 Shield (a) Shield (b) Screen 20 R ry S, (c)

Two narrow slits in a thin metal sheet are 2.70 mm apart centerto-center. When illuminated directly by plane waves (in air) a fringe pattern appears on a screen 4.60 m away. It is found that...

Return to Fig. 2.25 and prove that if two electromagnetic plane waves making an angle θ have the same amplitude, E 0 , the resulting interference pattern on the yx-plane is a...

Show by direct calculation, using Mueller matrices, that a unitirradiance beam of natural light passing through a vertical linear polarizer is converted into a vertical P-state. Determine its...

On examining a piece of stressed photoelastic material between crossed linear polarizers, we would see a set of colored bands (isochromatics) and, superimposed on these, a set of dark bands...

The specific rotatory power for sucrose dissolved in water at 20C ( 0 = 589.3 nm) is +66.45 per 10 cm of path traversed through a solution containing 1 g of active substance (sugar) per cm 3 of...

A Babinet compensator is positioned at 45 between crossed linear polarizers and is being illuminated with sodium light. When a thin sheet of mica (indices 1.599 and 1.594) is placed on the...

The Jones vector for an arbitrary linearly polarized state at an angle θ with respect to the horizontal is Prove that this matrix is in agreement with the one in Table 8.5 for a P-state...

Imagine that we have randomly polarized room light incident almost normally on the glass surface of a radar screen. A portion of it would be specularly reflected back toward the viewer and would thus...

Linear light oscillating at 60 above the horizontal x-axis in the first and third quadrants passes through a quarter-wave plate with its fast axis horizontal. Explain why the light emerges as left...

Right-circular light passes through a λ/4 retarder whose fast axis is vertical. Describe the emerging polarization state. Did the polarization state shift one quarter of the way around...

A ray of yellow light is incident on a calcite plate at 50. The plate is cut so that the optic axis is parallel to the front face and perpendicular to the plane-of-incidence. Find the angular...

A narrow beam of light strikes the surface of a block of clear material and it is determined that the reflected light is totally polarized. If the total reflectance is 10% find the transmittance at...

Given that the critical angle for some transparent material in air is 41.0, determine its polarization angle.

Imagine a pair of crossed polarizers with transmission axes vertical and horizontal. The beam emerging from the first polarizer has flux density I 1 , and of course no light passes through the...

The calcite crystal in Fig. P.8.34 is shown in three different orientations. Its blunt corner is on the left in (a), the lower left in (b), and the bottom in (c). The Polaroids transmission axis is...

Linearly polarized light (with an irradiance of 200 W/m 2 ) aligned with its electric-field vector at +55 from the vertical impinges perpendicularly on an ideal sheet polarizer whose transmission...

One of the mirrors of a Michelson Interferometer is moved, and 1000 fringe-pairs shift past the hairline in a viewing telescope during the process. If the device is illuminated with 500-nm light, how...

A beam of linearly polarized light with its electric field vertical impinges perpendicularly on an ideal linear polarizer with a vertical transmission axis. If the incoming beam has an irradiance of...

Write an expression for an R-state lightwave of frequency propagating in the positive x-direction such that at t = 0 and x = 0 the vector E-field points in the negative z-direction.

Write an expression for a P-state lightwave of angular frequency and amplitude E 0 propagating along the x- xis with its plane-of-vibration at an angle of 25 to the xy-plane. The disturbance is zero...

To examine the conditions under which the approximations of Eq. (9.23) are valid: (a) Apply the law of cosines to triangle S 1 S 2 P in Fig. 9.11c to get (b) Expand this in a Maclaurin series...

Convert the following decimal numbers in the IEEE single precision format: (i) 25.25, (ii) 2000.22, (iii) 1, (iv) 0, (v) 1000, (vi) 8000, (vii) 10 6 , (viii) -5.4, (ix) 1.0 x 2 -140, (x) 1.5 x 10 9

(a) What is the biggest number that can be represented in the 8-bit 2s complement floating-point format with 4 bits for exponent and 4 for fraction? (b) What is the smallest number that can be...

For the following circuit, find a minimum number of test vectors that will test all s-a-0 and s-a-1 faults at the AND and OR gate inputs. For each test vector, specify the values of A, B, C, and D,...

(a) Use Shannon's expansion theorem around a for the function Y = ab'cd'e + a'bc'd'e + b'c'e + abcde so that it can be implemented using 4-variable functions. (b) Use the expanded function to show...

(a) How many logic blocks as shown in Figure 6-1(a) are required to create a 4-to-16 decoder? (b) Give the contents of the LUTs in the first logic block. Figure 6-1(a) X X Function QX D FF CE X2...

(a) Write Verilog code that describes the logic block shown in Figure 6-1(a). Use the following module: module Figure6_1a(X_in,Y_in,clk,CE,Qx,Qy,X,Y,XLUT,YLUT); input[1:4]X_in,Y_in; input CE,clk;...

The next-state equations for a sequential circuit with two flip-flops (Q 1 and Q 2 ), input signals R, S, T, and an output P are D 1 = Q 1 + = Q 2 R 1 Q 1 S D 2 = Q 2 + = Q 1 + Q 2 'T The output...

A collimated beam of microwaves impinges on a metal screen that contains a long horizontal slit that is 20 cm wide. A detector moving parallel to the screen in the far-field region locates the first...

(a) What are the conditions an SM chart must satisfy in order to realize it using single-address microprogramming with a counter, a ROM, and a multiplexer as in Fig 5-33? Figure 5-33: Microprogrammed...

Imagine two aperture screens arranged to produce two Fraunhofer diffraction patterns. One contains 8 very narrow closely spaced parallel slits, the other 16 such slits. All else being equal, compare...

Suppose we have 15 parallel long narrow slits in an opaque screen. Furthermore, suppose each slit is separated from the next by a center-to-center distance that is equal to 4 slit widths. Given that...