Concept explainers
At 45° latitude: the gravitational acceleration as a function of elevation z above sea level is given by
(a)
The height above the sea level where decrease in the object weight is
Answer to Problem 31P
The height above the sea level where decrease in the object weight is
Explanation of Solution
Given Information:
The gravitation constant function is
Write the expression for the weight of the object above sea level.
Since there is a
Write the expression for the gravitational acceleration as a function of elevation.
Here the constant are
Substitute
Since at the sea level the elevation is
Write the expression for the weight of the object.
Here mass of the object is
Substitute
Calculation:
Substitute
Substitute
Conclusion:
The height above the sea level where decrease in the object weight is
Want to see more full solutions like this?
Chapter 1 Solutions
EBK FLUID MECHANICS: FUNDAMENTALS AND A
Additional Engineering Textbook Solutions
Thermodynamics: An Engineering Approach
Engineering Mechanics: Dynamics (14th Edition)
Introduction to Heat Transfer
Vector Mechanics for Engineers: Statics and Dynamics
Fundamentals of Heat and Mass Transfer
Applied Statics and Strength of Materials (6th Edition)
- Five objects in a region where the acceleration due to gravity is 30.2 ft/s2 are as follows: x1 = 400 g of mass; x2 weighs 850gf; x3 weighs 35 poundals; x4 weighs 3lbf; x5 is 0.50 slug of mass. What is the total mass expressed in lbm.arrow_forwardTHERMODYNAMICS Prob 1. A piston weighs 4.3 kgs and has a cross sectional area of 450 mm2. Determine the pressure that is exerted by this piston on the gas in the chamber, as shown in the figure. Assume gravitational acceleration 'g' to be 9.81 m/sec2. Piston Gas Prob 2. Find the mass of air in a closed chamber measuring 35 ft x 20 ft x 10 ft, when the pressure is 17 Ib/in? and the temperature is 75°F. Assume air to be an ideal gas.arrow_forwardA container is filled with oil and water. The weight of the same container when half filled with a liquid (s=1.95) alone is 90kN. If the volume of water is twice that the volume of oil, find the specific gravity of the oil so that the weight of the container when fully filled with oil-water combination is the same when half filled with the aforementioned liguid.arrow_forward
- The weight of an airplane varies with the cube of the plane’s length. The lift generated by an airplane’swings varies with the square of the plane’s length. Will a different airplane with the same constants be able to fly if it is 75 feet long?arrow_forwardTHERMODYNAMICS Prob 1. A piston weighs 4.3 kgs and has a cross sectional area of 450 mm2. Determine the pressure that is exerted by this piston on the gas in the chamber, as shown in the figure. Assume gravitational acceleration 'g' to be 9.81 m/sec?. Piston Gas Prob 2. Find the mass of air in a closed chamber measuring 35 ft x 20 ft x 10 ft, when the pressure is 17 Ib/in? and the temperature is 75°F. Assume air to be an ideal gas.arrow_forwardThe sea level value for the acceleration of gravity at 45° latitude in SI units is: 9.81 m/s². 32.2 m/s². O 32.2 ft/s². 9.81 ft/s².arrow_forward
- T F The specific weight of a fluid is the product of the fluid's density and the acceleration due to gravity. Stronger surface tension leads to higher capillary rise. Absolute pressures are frequently negative. If the pressure of fluid drops below the vapor pressure of that fluid at that temperature, the fluid will cavitate. F F T F F Density can be measured in lb;/ft° in the English system of units. For a hydrostatic incompressible fluid, pressure is independent of depth. A fluid with a high bulk modulus of elasticity is more difficult to compress than one with a low bulk modulus of elasticity. Viscosity is caused, in part, by the surface tension within a fluid. A fluid can resist an applied shear stress by deforming. Pressure increases faster with depth in less dense fluids than in more dense fluids. T F F F F Farrow_forward1. The acceleration due to gravity at a certain level is 9.78 m/s2. This acceleration varies by 8.28 x 10 -4 m/s2 for every 100 m ascent. a. Find the height of an object above this level where the acceleration due to gravity is 9.70 m/s2. b. Find the weight of an object relative to this point whose mass is 80 kg at a height of 10,000 meters.arrow_forwardQ2. In the image shown below, according to the provided datum line, determine the gravitational potential energy of the 5.0-kg block. The height h = 2.0 m. Negative sign must be included if the energy is negative. Please pay attention: the numbers may change since they are randomized. Your answer must include 1 place after the decimal point, and proper SI unit. Take g = 9.81 m/s². Your Answer: Answer 5 4 3 units h Datumarrow_forward
- The gravity acceleration at a certain level is 9.78 m/s². This accelartion varies by 8.28 x 104 m/s² for every 100m ascent. a. Find the weight of an object above this level where the acceleration due to gravity is 9.70 m/s². b. Find the weight of an object relative to this point whose mass is 80 kg at a height of 10, 000 meters 1. c. Find the height above this point if the weight of a man decreased by 5%arrow_forwardWhat is the weight of an astronaut with a mass of 180 LBM on the moon, where g=5.32 ft/s2?arrow_forwardDetermine the net force, in Newton's, that a 75kg person would experience in an aircraft whose acceleration is 3 g's.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY