Problem 1P: Perform the same computation as Sec. 24.1, but compute the amount of heat required to raise the... Problem 2P: 24.2 Repeat Prob. 24.1, but use Romberg integration to .
Problem 3P: 24.3 Repeat Prob. 24.1, but use a two- and a three-point Gauss Legendre formula. Interpret your... Problem 4P: 24.4 Integration provides a means to compute how much mass enters or leaves a reactor over a... Problem 5P: Use numerical integration to compute how much mass leaves a reactor based on the following... Problem 6P: 24.6 Fick’s first diffusion law states that
where mass flux 5 the quantity of mass that passes... Problem 7P: The following data were collected when a large oil tanker was loading: t, min 0 10 20 30 45 60 75... Problem 8P: 24.8 You are interested in measuring the fluid velocity in a narrow rectangular open channel... Problem 10P Problem 11P: 24.11 Glaucoma is the second leading cause of vision loss worldwide. High intraocular pressure... Problem 12P: One of your colleagues has designed a new transdermal patch to deliver insulin through the skin to... Problem 13P: Video an giography is used to measure blood flow and determine the status of circulatory function.... Problem 14P: 24.14 Perform the same computation as in Sec. 24.2, but use Romberg. Integration to evaluate the... Problem 15P: Perform the same computation as in Sec. 24.2, but use Gauss quadrature to evaluate the integral. Problem 16P: 24.16 As in Sec. 24.2, compute F using the trapezoidal rule and Simpson’s and Simpson’s rules... Problem 17P: Stream cross-sectional areas (A) are required for a number of tasks in water resources engineering,... Problem 18P: 24.18 As described in Prob. 24.17, the cross-sectional area of a channel can be computed as... Problem 21P: 24.21 A transportation engineering study requires the calculation of the total number of cars that... Problem 22P: 24.22 A wind force distributed against the side of a skyscraper is measured as
Height l,... Problem 23P: 24.23 Water exerts pressure on the upstream face of a dam as shown in Fig. P24.23. The... Problem 24P: 24.24 To estimate the size of a new dam, you have to determine the total volume of water that flows... Problem 25P: The data listed in the following table gives hourly measurements of heat flux q (cal/cm2/h) at the... Problem 26P: The heat flux q is the quantity of heat flowing through a unit area of a material per unit time. It... Problem 27P: 24.27 The horizontal surface area of a lake at a particular depth can be computed from volume by... Problem 28P: 24.28 Perform the same computation as in Sec. 24.3, but for the current as specified by
Where ... Problem 29P: 24.29 Repeat Prob. 24.28, but use five applications of Simpson’s rule.
Problem 30P: Repeat Prob. 24.28, but use Romberg integration to s=1. Problem 31P: Faradays law characterizes the voltage drop across an inductor as VL=Ldidt Where VL=voltagedrop(V),... Problem 32P: 24.32 Based on Faraday’s law (Prob. 24.31), use the following voltage data to estimate the... Problem 33P: Suppose that the current through a resistor is described by the function i(t)=(60t)2+(60t)sin(t) and... Problem 34P: If a capacitor initially holds no charge, the voltage across it as a function of time can be... Problem 35P: 24.35 Perform the same computation as in Sec. 24.4, but use the following equations:
Use 4-,... Problem 36P: 24.36 Repeat Prob. 24.35, but use (a) Simpson’s rule, (b) Romberg integration to, and (c) Gauss... Problem 37P: 24.37 Compute work as described in Sec. 24.4, but use the following equations for:
The force is... Problem 38P: As was done in Sec. 24.4, determine the work performed if a constant force of 1 N applied at an... Problem 39P: 24.39 The work done on an object is equal to the force times the distance moved in the direction of... Problem 40P: The rate of cooling of a body (Fig. P24.40) can be expressed as dTdt=k(TTa) Where... Problem 41P: 24.41 A rod subject to an axial load (Fig. P24.41a) will be de-formed, as shown in the stress-strain... Problem 42P: If the velocity distribution of a fluid flowing through a pipe is known (Fig. P24.42), the flow rate... Problem 43P: 24.43 Using the following data, calculate the work done by stretching a spring that has a spring... Problem 44P: 24.44 A jet fighter’s position on an aircraft carrier’s runway was timed during landing:
t,... Problem 45P: 24.45 Employ the multiple-application Simpson’s rule to evaluate the vertical distance traveled by a... Problem 46P: The upward velocity of a rocket can be computed by the following formula: v=uIn(m0m0qt)gt Where... Problem 47P: Referring to the data from Problem 20.61, find the strain rate using finite difference methods. Use... Problem 48P: Fully developed flow moving through a 40-cm diameter pipe has the following velocity profile:... Problem 49P: Fully developed flow of a Bingham plasticfluid moving through a 12-in diameter pipe has the given... Problem 50P: 24.50 The enthalpy of a real gas is a function of pressure as described below. These... Problem 51P: Given the data below, find the isothermal work done on the gas as it is compressed from 23 L to 3 L... Problem 52P: 24.52 The Rosin-Rammler-Bennet (RRB) equation is used to describe size distribution in fine dust. ... Problem 53P: For fluid flow over a surface, the heat flux to the surface can be computed as J=kdTdy Where... Problem 54P: The pressure gradient for laminar flow through a constant radius tube is given by dpdx=8Qr4 Where... Problem 55P: 24.55 Velocity data for air are collected at different radii from the centerline of a circular... format_list_bulleted