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- (Heat transfer) The formula developed in Exercise 5 can be used to determine the cooling time, t, caused only by radiation, of each planet in the solar system. For convenience, this formula is repeated here (see Exercise 5 for a definition of each symbol): t=Nk2eAT3fin A=surfaceareaofasphere=4r2 N=numberofatoms=volumeofthespherevolumeofanatom Volume of a sphere sphere=43radius3 The volume of a single atom is approximately 11029m3 . Using this information and the current temperatures and radii listed in the following chart, determine the time it took each planet to cool to its current temperature, caused only by radiation.(Transportation) Road construction requires estimating the expected loads on a road’s pavement over its design life. A common approach for determining this information is to use ESAL values; one ESAL is the load a single 18,000-lb (80,000 N) single-axle truck applies to the road’s surface. The ESAL value for any single-axle vehicle can be approximated by this formula: ESAL=[W18,000]4 ESAL is the equivalent single-axle load. W is the vehicle’s weight (lbs). Using this formula, write, compile, and run a C++ program that determines ESAL values and use it to complete the following chart. The ESAL values should be output in a field width of 10, with six digits after the decimal point.(Mechanics) The deflection at any point along the centerline of a cantilevered beam, such as the one used for a balcony (see Figure 5.15), when a load is distributed evenly along the beam is given by this formula: d=wx224EI(x2+6l24lx) d is the deflection at location x (ft). xisthedistancefromthesecuredend( ft).wistheweightplacedattheendofthebeam( lbs/ft).listhebeamlength( ft). Eisthemodulesofelasticity( lbs/f t 2 ).Iisthesecondmomentofinertia( f t 4 ). For the beam shown in Figure 5.15, the second moment of inertia is determined as follows: l=bh312 b is the beam’s base. h is the beam’s height. Using these formulas, write, compile, and run a C++ program that determines and displays a table of the deflection for a cantilevered pine beam at half-foot increments along its length, using the following data: w=200lbs/ftl=3ftE=187.2106lb/ft2b=.2fth=.3ft
- (Desk check) Determine the value in total after each of the following loops is executed: a.total=0;for( i=1;i=10;i=i+1)total=total+1;b.total=1;for( count=1;count=10;count=count+1)total=total2;c.total=0;for( i=10;i=15;i=i+1)total=total+i;d.total=50;for( i=1;i=10;i=i+1)total=totali;e.total=1;for( icnt=1;icnt=8;++icnt)total=totalicnt;f.total=1.0;for( j=1;j=5;++j)total=total/2.0;(Debug) Determine and correct the errors in the following programs. a.includeiostreamusingnamespacestd;intmain()width=15area=lengthwidth;coutTheareaisareab.includeiostreamusingnamespacestd;intmain()intlength,width,area;area=lengthwidth;length=20;width=15;coutTheareaisarea;return0;c.includeiostreamintmain()intlength=20;width=15,area;lengthwidth=area;coutTheareais,area;return0;(General math) The area of an ellipse (see Figure 3.5) is given by this formula: Area=ab Using this formula, write a C++ program to calculate the area of an ellipse having a minor axis, a, of 2.5 inches and a major axis, b, of 6.4 inches.
- (Conversion) Blood pressure is the force of blood circulating against the inner wall of blood vessels. It’s measured by two numbers: a systolic number that measures the pressure when the heart is contracting and a diastolic number that measures the pressure when the heart is resting. Both pressures are typically measured in millimeters of mercury (mm Hg) and given assystolic/diastolic numbers, such as 122/88. The National Heart, Blood, and Lung Institute provides the following guidelines for normal and high blood pressure measurements. Complete the chart by converting the measurements to atm and psi units.(Statics) An annulus is a cylindrical rod with a hollow center, as shown in Figure 6.7. Its second moment of inertia is given by this formula: I4(r24r14) I is the second moment of inertia (m4). r2 is the outer radius (m). r1 is the inner radius (m). a. Using this formula, write a function called annulusMoment ( ) that accepts two double-precision numbers as parameters (one for the outer radius and one for the inner radius), calculates the corresponding second moment of inertia, and displays the result. b. Include the function written in Exercise 5a in a working program. Make sure your function is called from main(). Test the function by passing various data to it.(General math) The value of p can be approximated by this series: 4(113+1517+....) Using this formula, write a program that calculates and displays the value of , using 2, 3, and 4 terms of the series.
- (Thermodynamics) The work, W, performed by a single piston in an engine can be determined by this formula: W=Fd F is the force provided by the piston in Newtons. d is the distance the piston moves in meters. a. Determine the units of W by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for work listed in Table 1.1. b. Determine the work performed by a piston that provides a force of 1000 N over a distance of 15 centimeters.(Practice) Convert the following numbers from exponential form into standard decimal form: a.6.34e5b.1.95162e2c.8.395e1d.2.95e3e.4.623e4(Civil eng.) Write an assignment statement to calculate the linear expansion in a steel beam as a function of temperature increase. The formula for linear expansion, l, is as follows: l=l0(1+(TfT0)) l0isthelengthofthebeamattemperatureT0.isthecoefficientoflinearexpansion.Tfisthefinaltemperatureofthebeam.







