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- Question : 1P - Using the problem solving technique described at the beginning of the chapter, work out your answer to the following question: A fresh egg is released by an ancient pterodactyl flying horizontally at 10. m/s at an altitude of 1500 km (Figure 1.20). If it takes 15 s for the egg to hatch, will it hatch before it hits the ground?
- Question : 2P - During the construction of the Eads bridge across the Mississippi river at St. Louis in 1873, Theodore Cooper, a young assistant civil engineer, slipped on a loose board and fell 90. ft into the river (Figure 1.21). He later reported that, during the fall, he rolled himself into a ball and rapidly calculated the velocity with which he would hit the water. After a deep plunge, he came to the surface still clutching his pencil and was rescued by a nearby boat. Neglecting air resistance, determine (a) how long it took him to fall 90. ft, and (b) the velocity with which he hit the water.
- Question : 3P - If 1 gallon has a volume of 0.1337 ft3 , then how many mouthfuls of water are required to fill the moat of a castle that is 1.0 pole deep, 1.0 fathom wide, and 1.0 furlong long (Figure 1.22)? Note: 1.0 pole = 12 cubits = 18 feet, and 1.0 fathom = 4.0 cubits = 6.0 feet.
- Question : 4P - The gauge of shotguns is universally expressed as the number of spheres of the diameter of the bore of the gun that can be cast from 1 lb of lead (Figure 1.23). This standardization procedure came from the English Gun Barrel Proof Act of 1868. Taking the density of the lead as 705 lbm/ft3 , develop a formula relating the diameter of the gun barrel to the gauge of the gun. Compute the barrel diameters for 20. gauge, 12. gauge, and 10. gauge shotguns. (Note that the caliber of a gun is not the same as its gauge. The caliber of a weapon is just the diameter of the bore expressed in inches multiplied by 100. For example, a .38 caliber pistol has a bore diameter of 0.38 inch).
- Question : 5P - If lead is measured in avoirdupois ounces and silver is measured in troy ounces, which weighs more (a) an ounce of lead or an ounce of silver, and (b) a pound of lead or a pound of silver (Figure 1.24)?
- Question : 6P - Most people believe that the size of a shoe is the length of the shoe in inches (Figure 1.25). Curiously, this is not the case. Shoe sizes became standardized between 1850 and 1900 as factory-made shoes became popular. The size standardization consisted of defining the smallest shoe size at some fixed insole length, then increasing the insole length by a fixed amount for each size increment. The child
- Question : 7P - The classification of carpenters
- Question : 8P - By 1724, Gabriel Daniel Fahrenheit (1686
- Question : 9P - Determine the units of thermal conductivity, kt, as defined by the following equation: Q_ =
- Question : 10P - Determine the units of viscosity, ?, in the following equation: ? = ?(du/dy), where ? is a shear stress, u a velocity, and y is a distance in (a) the Engineering English system, and (b) the SI system.
- Question : 11P - Develop a unit conversion factor to convert the specific heat of a substance in calories/(g
- Question : 12P - The specific internal energy of a system is 411.7 J/kg. Express this value in the following units: (a) ft
- Question : 13P - Determine the weight at standard gravity of 10.0 lbm in (a) lbf, (b) poundals, (c) dynes, and (d) newtons.
- Question : 14P - Determine the mass of an object whose weight on the Moon, where the local acceleration of gravity is 5.3 ft/s2 , is 10.0 poundals in (a) lbm, (b) slugs, (c) g, and (d) kg.
- Question : 15P - Determine the acceleration of gravity at the location where 3.0 slugs of mass weigh 50.0 N
- Question : 16P - How much does 10.0 lbm weigh on a planet where g = 322 ft/s2 ?
- Question : 17P - Determine the value of gc at a location where a body with a mass of 270. lbm weighs 195 lbf
- Question : 18P - Develop a mechanical units system in which the mass is the stone, the length is the angstrom (0.1 nm), and the time is the century. (a) Define your own force unit and choose the magnitude of k1. (b) Discuss the problems that would be encountered in converting between your system and the SI system.
- Question : 19P - Develop a mechanical units system in which force (F), mass (M), length (L), and time (t) are independent quantities, using the kgf (kilogram force) for F, and kgm (kilogram mass) for M, the meter for L, the second for t, and 9.81 kgm
- Question : 20P - Develop an FLt mechanical units system in which gc = 1 and the force is the pound force (lbf), the length is the foot, and time is the second. Define the mass in this system to be the pound mass (lbm) and determine the conversion between the primary units (lbf, ft, and s) and the secondary mass (lbm) unit at standard gravity. Note that this is not the same FLMt system used in the Engineering English units system shown in Table 1.2. Explain the differences and similarities between these two systems.
- Question : 21P - Determine the mass of 18 lbm of water in (a) lbmoles, (b) gmoles, (c) kgmoles, and (d) slug moles.
- Question : 22P - How many kgmoles of nitroglycerine C3H5(NO3)3 are contained in 1.00 kg?
- Question : 23P - How many lbmoles of TNT (trinitrotoluene) C7H5(NO2)3 are contained in a 1.00 lbm stick?
- Question : 24P - How many lbm are contained in 1.00 lbmole of glucose C6H12O6?
- Question : 25P - Determine the mass in lbm of 1.00 lbmole of Illinois coal having a molecular structure of C100H85S2.1N1.5O9.5
- Question : 26P - What will 3.0 kgmoles of CO2 weigh at standard gravity in (a) N, and (b) lbf?
- Question : 27P - Determine the molecular mass of a substance for which 5.0 gmoles weighs 10.
- Question : 28P - Create an absolute temperature scale based on Reaumur
- Question : 29P - Create an absolute temperature scale based on Newton
- Question : 30P - Both the numerical value and dimensions of the universal gas constant ? in the ideal gas formula p? = n?T depend on whether the temperature T is in Kelvin or Rankine absolute temperature units. In 1964, at Washington University, St. Louis, Missouri, Professor John C. Georgian recognized that, if the universal gas constant were set equal to unity and made dimensionless, then the ideal gas equation of state could be used to define an absolute temperature unit in terms of the traditional mass, length, and time dimensions from the result: T = pV/n, where p is the absolute pressure, V is the total volume, n = m/M is the number of moles, and m and M are mass and molecular mass, respectively. a. Using T = pV/n (i.e., set ? = 1), determine the equivalent Georgian temperature unit in terms of the standard SI units (m, kg, s). Call this new temperature unit the georgian, G. b. Find the conversion factor between G and the SI units system absolute temperature scale unit, K. c. Find the conversion factor between G and the Engineering English units system absolute temperature scale unit, R. d. Determine the triple and boiling points of water in G (Figure 1.27).
- Question : 31P - Show that (4??0)(c2
- Question : 32P - Show that ?0?0c 2 = 1.0, where ?0 is the electric permittivity of a vacuum = 8.8542
- Question : 33P - If the pressure inside an automobile tire is 32.0 psig in Engineering English units, what is its pressure in SI units?
- Question : 34P - If your mass is 183 lbm in the Engineering English units system, what is your weight in (a) the Engineering English units system and (b) the SI units system?
- Question : 35P - If you weigh 165 lbf in the Engineering English units system, determine your mass in the following units systems: (a) Engineering English, (b) SI, and (c) Technical English.
- Question : 36P - The potential of a typical storm cloud can be as high as 109 volts. When lightning is produced, a typical lightning strike can produces an electric current of 20,000 amps (Figure 1.28). a. Determine the power contained in a lightning strike (in kW). b. If the earth is covered with 2000 lightning storms each producing 100 strikes per second, determine the total lightning electrical power available (in kW).
- Question : 37P - If a person reports the dimensions of a room from measurements with a tape measure as 12 feet, 61 4 inches by 14 feet, 31 2 inches, how many significant figures are being used?
- Question : 38P - If you measure time in hours with an accuracy of five significant figures then convert it into seconds, to how many significant figures should you report the answer in seconds?
- Question : 39P - An engineer reports a value of 1.3695 m/s for the velocity of conveyer system. a. How accurate (i.e., to how many significant figures) is the velocity measurement? b. If this velocity is calculated from a measurement of a distance traveled divided by the time required, how accurately (i.e., to how many significant figures) must the distance and time be measured?
- Question : 40P - How accurate (i.e., how many significant figures can you measure) is (a) a bathroom scale graduated in quarter pound increments, (b) a yardstick graduated in eighth-inch increments, (c) a 6-inch machinist
- Question : 41P - If you are reporting a distance of less than ten miles traveled in your car from reading the odometer, how many significant figures do you use?
- Question : 42P - If you are calculating the potential energy of an object for which you know its mass to three significant figures, its height to two significant figures, and the local gravity to four significant figures, how many significant figures do you use in your final answer?
- Question : 43P - If you are calculating the kinetic energy of an object for which you measure the distance it travels with an instrument having an accuracy of four significant figures, the time of travel with a stopwatch accurate to three significant figures, and a mass measured to an accuracy of three significant figures, how many significant figures do you use in your answer?
- Question : 44P - Determine the potential energy of 1.00 kg of water at a height of 1.00 m above the ground at standard gravity in (a) the Engineering English units system and (b) the SI units system.
- Question : 45P - Compute the kinetic and potential energies of an airplane weighing 5.00 tons flying at a height of 30.0
- Question : 46P - Assume the binding energy per molecule for liquid water at 212.
- Question : 47P - The engine horsepower required to overcome rolling and air resistance for a passenger vehicle is given by the dimensional formula Horsepower = 53:0 hp.h lbf .mi
- Question : 48P - You are suddenly transported through time and space to an unknown planet, where you find yourself face to face with a hungry giant quadroplex creature. Your finely honed survival skills as a successful, but mild-mannered, engineering student lead you conclude that the beast has a mass of 1.00
- Question : 49P - Using the CGS units system, determine the kinetic energy of an automobile weighing 1.60 billion dynes traveling at 3000. cm/s.
- Question : 50P - Using the CGS units system, determine the potential energy of a truck weighing 27.0 billion dynes at a height of 30.0
- Question : 51P - Using the Absolute English units system, determine the weight of an object whose kinetic energy is 306.2 ft
- Question : 52P - Using the Absolute English units system, determine the kinetic energy of an object traveling at 15.3 ft/s and weighing 40.0 poundal at standard gravity.
- Question : 53P - Using the Absolute English units system, determine the potential energy of an object weighing 200. lbm
- Question : 54P - Using the Technical English units system, determine the mass of an object having a potential energy of 705 ft
- Question : 55P - Using the Technical English units system, determine the kinetic energy of a 197 slug mass traveling at a velocity of 33.5 ft/s.
- Question : 56P - Micrometeoroids have space station impact velocities of 19.0 km/s. Determine the impact kinetic energy in SI and Engineering English units of a 1.00 g micrometeoroid traveling at this velocity.
- Question : 57P - A 2000. lbm meteoroid has a velocity of 23.0
- Question : 58P - The Sandia National Laboratory hypervelocity two-stage light gas gun achieved muzzle velocities of 12.0 km/s with 0.500 g flat plate projectiles. Determine the muzzle kinetic energy of the projectiles in SI and Engineering English units.
- Question : 59P - A thin disk with a diameter of 1.00 m and weighing 8.00 kg is spun about its axis at 30.0
- Question : 60P - The armature of a large electric motor can be thought of as being composed of a slender solid circular rod (the motor drive shaft) inside a large hollow circular cylinder (the armature windings). If the motor shaft has a mass of 150. kg and a diameter of 0.250 m, and the armature windings have a mass of 600. kg and an outside diameter of 1.50 m (the inside diameter is the same as the outside diameter of the shaft), determine the rotational kinetic energy stored in the motor when it is rotating at 3600. rpm.
- Question : 61P - A 0.3125 lbm baseball 2.866 inches in diameter is thrown with a velocity of 80.0 mph and it simultaneously spins about its axis at 5.00 rad per second (Figure 1.32). Determine the total (translational plus rotational) kinetic energy of the ball.
- Question : 62P - A 12 lbm bowling ball 8.59 inches in diameter is given a spin of 1.0 revolution per second while traveling down the lane at 17 ft per second (Figure 1.33). Determine the total translational plus rotational kinetic energy of the ball.
- Question : 63P - The NASA space shuttle
- Question : 64P - A great deal of research has been carried out at the Oak Ridge National Laboratory in Tennessee on flywheel energystorage systems. The lab developed a 27.0-inch diameter composite flywheel that can run at 40.0
- Question : 65P - Determine the energy-storage capacity in W
- Question : 66P - A manufacturer of a thin disk energy-storage flywheels claims to have a flywheel made of a composite material mounted on magnetic bearings. If the flywheel turns at 200.

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