(Practice) Convert the following numbers from exponential form into standard decimal form: a. 6.34e5 b. 1.95162e2 c. 8.395e1

(General math) The volume of oil stored in an underground 200-foot deep cylindrical tank is determined by measuring the distance from the top of the tank to the surface of the oil. Knowing this distance and the radius of the tank, the volume of oil in the tank can be determined by using this formula: volume=radius2(200distance) Using this information, write, compile, and run a C++ program that accepts the radius and distance measurements, calculates the volume of oil in the tank, and displays the two input values and the calculated volume. Verify the results of your program by doing a hand calculation using the following test data: radius=10feetanddistance=12feet.

(Automotive) a. An automobile engine’s performance can be determined by monitoring its rotations per minute (rpm). Determine the conversion factors that can be used to convert rpm to frequency in hertz (Hz), given that 1rotation=1cycle,1minute=60seconds,and1Hz=1cycle/sec. b. Using the conversion factors you determined in Exercise 7a, convert 2000 rpm into hertz.

Determine the value of each of the following expressions. (1) a.staticcastchar(toupper('#'))b.staticcastchar(toupper('k'))c.staticcastchar(toupper('3'))d.staticcastchar(toupper('-'))e.staticcastchar(tolower('T'))f.staticcastchar(tolower(':'))g.staticcastchar(tolower('u'))h.staticcastchar(tolower(''))

(Physics) a. Design, write, compile, and run a C++ program to calculate the elapsed time it takes to make a 183.67-mile trip. This is the formula for computing elapsed time: elapsedtime=totaldistance/averagespeed The average speed during the trip is 58 mph. b. Manually check the values computed by your program. After verifying that your program is working correctly, modify it to determine the elapsed time it takes to make a 372-mile trip at an average speed of 67 mph.

(Oceanography) The pressure, P, exerted on an underwater object can be determined by this formula: P=gh is the density of water, which is 1.94slug/ft3 . g is the acceleration caused by Earth’s gravity, which is 32.2ft/sec2. h is the object’s depth in the water in feet. a. Determine the units of P by calculating the units resulting from the right side of the formula. Check that your answer corresponds to the units for pressure listed in Table 1.1. b. Determine the pressure on a submarine operating at a depth of 2500 feet.

(Practice) a. To convert inches (in) to feet (ft), the number of inches should be multiplied by which of the following conversion factors? i. 12 in/1 ft ii. 1 ft/12 in b. To convert feet (ft) to meters (m), the number of feet should be multiplied by which of the following conversion factors? i. 1 m/3.28 ft ii. 3.28 ft/1 m c. To convert sq.yd to sq.ft, the number of sq.yd should be multiplied by which of the following conversion factors? i. 1 sq.yd/9 sq.ft ii. 9 sq.ft/1 sq.yd d. To convert meters (m) to kilometers (km), the number of meters should be multiplied by which of the following conversion factors? i. 1000 m/1 km ii. 1 km/1000 m e. To convert sq.in to sq.ft, the number of sq.in should be multiplied by which of the following conversion factors? i. 144 sq.in/1 sq.ft ii. 1 sq.ft/144 sq.in f. To convert minutes (min) to seconds (sec), the number of minutes should be multiplied by which of the following conversion factors? i. 60 sec/1 min ii. 1 min/60 sec g. To convert seconds (sec) to minutes (min), the number of seconds should be multiplied by which of the following conversion factors? i. 60 sec/1 min ii. 1 min/60 sec

(General math) a. Design, write, compile, and run a C++ program to calculate the volume of a sphere with a radius, r, of 2 in. The volume is given by this formula: Volume=4r33 b. Manually check the values computed by your program. After verifying that your program is working correctly, modify it to determine the volume of a cube with a radius of 1.67 in.

(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

(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.