Thinking Like an Engineer: An Active Learning Approach (4th Edition)
4th Edition
ISBN: 9780134639673
Author: Elizabeth A. Stephan, David R. Bowman, William J. Park, Benjamin L. Sill, Matthew W. Ohland
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 7, Problem 50RQ
In many engineering uses, the value of "g," the acceleration due to gravity, is taken as a constant. However, g is actually dependent upon the distance from the center of the Earth. A more accurate expression for g is:
Here, g0 is the acceleration of gravity at the surface of the Earth, A is the altitude above the Earth's surface, and R, is the radius of the Earth, approximately 6,380 kilometers [km]. Assume g0 = 9.8 meters per second squared [m/s2]. If the value of g is 9 meters per second squared [m/s2], what is the altitude in units of miles [mi]?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Five objects in a region where the acceleration due to gravity is 30.2 ft/s2 are
as follows: x1 = 450 g of mass
x2 = weighs 960gf
x3 = weighs 15 poundals
x4 = weighs 21bf
x5 = 0.20 slug of mass.
What is (a) the total mass expressed in gm?
(b) the total weight expressed in kgf.
Q1. The image below shows an example of "absolute dependent motion analysis",
where the motions of two objects depend on each other, and the goal is to find the
relations in their motions (i.e., in their positions, velocities, and accelerations). Please
put the suggested steps of analysis in the correct order.
VA
A
B
VB
Differentiate the entire equation with respect to time, and extract the
relation in velocities. Repeat for acceleration if needed.
Set up a coordinate (s) along the direction of motion from a fixed point (O)
or a fixed datum line.
Represent the positions of the objects respectively. In some cases
intermediate objects need to be considered too and their positions need
to be represented as well.
Recognize the constant length(s) and find the depending geometric
relations between the position variables.
A pendulum in your house swings from one side to the other in a span of 0.8 seconds. If this pendulum will be brought to moon, how long should the string be in meters to maintain the same period? Acceleration due to gravity at moon is 1.62m/s2
A pendulum in your house swings from one side to the other in a span of 0.8 seconds. If this pendulum will be brought to Mars, how long will the new period be in seconds? Acceleration due to gravity at Mars is 3.7m/s2
A pendulum in your house swings from one side to the other in a span of 0.8 seconds. How long is the string that is attached to the mass?
A particle moves with a simple harmonic motion through space. When time was zero, its position was at the equilibrium position with a 15cm/s velocity. What is its velocity in cm/s after 5 seconds? The object is vibrating at 3.5pi rad/s
A particle moves with a simple harmonic motion through space. When time was zero, its position was at the equilibrium position with a 15cm/s velocity. What…
Chapter 7 Solutions
Thinking Like an Engineer: An Active Learning Approach (4th Edition)
Ch. 7.1 - Express the following values using an appropriate...Ch. 7.1 - Indicate if the following units are correctly...Ch. 7.3 - Comprehension Check 7-3 The highest mountain in...Ch. 7.3 - To be considered a full-time employee, companies...Ch. 7.4 - In January 2008, Scientific American reported that...Ch. 7.4 - Officially, a hurricane is a tropical storm with...Ch. 7.4 - Many toilets in commercial establishments have a...Ch. 7.5 - Comprehension Check 7-8 A hogshead is a unit of...Ch. 7.5 - Comprehension Check 7-9 In NCAA basketball, a...Ch. 7.5 - A boat is traveling at 20 knots. Convert this...
Ch. 7.6 - Determine the fundamental dimensions of the...Ch. 7.6 - Determine the fundamental dimensions of the...Ch. 7.6 - Identify the quantity through the use of...Ch. 7.7 - The power absorbed by a resistor can be given by P...Ch. 7.7 - Indicate whether the following equation is...Ch. 7.8 - A basketball has a diameter of approximately 27...Ch. 7.8 - Eclipses, both solar and lunar, follow a cycle of...Ch. 7 - Express the following values using scientific...Ch. 7 - Express the following values using scientific...Ch. 7 - Express the following values using scientific...Ch. 7 - Complete the following table.Ch. 7 - Complete the following table.Ch. 7 - Which of the following is the longest distance? A....Ch. 7 - Complete the following table.Ch. 7 - Which of the following is the largest volume? A....Ch. 7 - Complete the following table.Ch. 7 - Which of the following is the fastest speed? A. 50...Ch. 7 - Complete the following table. gallons per minute...Ch. 7 - Which of the following is the largest mass...Ch. 7 - Which of the following is the largest volumetric...Ch. 7 - In China, one "bu" is 1.66 meters [m]. The average...Ch. 7 - On April20, 2010, the DeepWater Horizon oil...Ch. 7 - In China, one "fen" is defined as 3.3 millimeters...Ch. 7 - A blink of a human eye takes approximately 300-400...Ch. 7 - If the Sl prefix system was expanded to other...Ch. 7 - A "jiffy" is defined as 1/60 of a second [s]....Ch. 7 - A "knot'' is a unit of speed in marine travel. One...Ch. 7 - The Earth's escape velocity is 7 miles per second...Ch. 7 - A manufacturing process uses 10 pound-mass of...Ch. 7 - CA 7-23 Determine the fundamental dimensions of...Ch. 7 - Determine the fundamental dimensions of the...Ch. 7 - Identify the following quantities through the use...Ch. 7 - Football helmet safety is a current focus of...Ch. 7 - For each equation listed, indicate if the equation...Ch. 7 - What are the dimensions of the coefficient (k) in...Ch. 7 - When shipping freight around the world, most...Ch. 7 - A circular window has a 10-inch [in] radius. What...Ch. 7 - A body traveling in a circle experiences an...Ch. 7 - In NCAA basketball, the center circle diameter...Ch. 7 - Continental drift has an average velocity of 2...Ch. 7 - In many engineering uses, the value of "g," the...Ch. 7 - In 2001 , the first iPodTM by Apple had a rated...Ch. 7 - New plastic fuel tanks for cars can be molded to...Ch. 7 - The longest sea bridge, the Jiaozhou Bay Bridge in...Ch. 7 - The term "deep sea" refers to everything in the...Ch. 7 - A category F5 tornado can have wind speeds of 300...Ch. 7 - Some species of bamboo have been measured to grow...Ch. 7 - A new hybrid automobile with regenerative braking...Ch. 7 - If a liquid evaporates at a rate of 50 kilograms...Ch. 7 - Acetone must be kept in a closed pressure tank due...Ch. 7 - The AbioCorTM artificial heart pumps at a rate of...Ch. 7 - If a pump moves water at 70 gallons per minute...Ch. 7 - On April 20, 2010, the DeepWater Horizon oil...Ch. 7 - One of the National Academy of Engineering Grand...Ch. 7 - The board foot is often used as a measure of...Ch. 7 - The oxgang is unit of area equal to 20 acres....Ch. 7 - In an effort to modernize the United States...Ch. 7 - Old Mississippi River paddle wheelers routinely...Ch. 7 - The grain is a unit of mass equal to 64.8...Ch. 7 - The hand [hh] is a traditional unit for measuring...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - The Units Society Empire (USE) had defined the...Ch. 7 - Many common quantities with derived units do not...Ch. 7 - Electrical ficld (E) [V /m]Ch. 7 - Acoustic impedance (Z) [Pa s/m]Ch. 7 - Magnetic permeability ()[V S / A]Ch. 7 - Ideal gas" constant (R) [atm L/(mol K )]Ch. 7 - Stefan-Boltzmann constant () [W I (m2K4)]Ch. 7 - Analyze l he following term using fundamental...Ch. 7 - We wish to analyze the velocity of a fluid exiting...Ch. 7 - Wind energy uses large fans to extract energy from...Ch. 7 - Based on the following equation, express the...Ch. 7 - Based on the following equation, express the...Ch. 7 - Based on the following equation, express the...Ch. 7 - Based on the following equation, answer the...Ch. 7 - Based on the following equation, answer the...Ch. 7 - Based on the following equation, answer the...Ch. 7 - A dust collection system operates using the...Ch. 7 - Determine if the following expression is a valid...Ch. 7 - The largest hailstone is the United States was...Ch. 7 - The largest hailstone is the United States was...Ch. 7 - How large a surface area in units of square feet...Ch. 7 - How large a surface area in units of square feet...Ch. 7 - A box has a volume of 10 gallons [gal]. If two...Ch. 7 - A 1 25-gallon [gal] quantity of molten (liquefied)...Ch. 7 - In American football, the playing field is 53.33...Ch. 7 - For almost four millennia, the Pyramid of Khufu...Ch. 7 - A torus is essentially a tube wrapped into a circ...Ch. 7 - In many engineering uses, the value of "g," the...
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
3.3 It is known that a vertical force of 200 lb is required to remove the nail at C from the board. As the nail...
Vector Mechanics for Engineers: Statics
Locate the centroid of the area. Prob. 9-17
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
A nozzle at A discharges water with an initial velocity of 36 ft/s at an angle with the horizontal. Determine ...
Vector Mechanics for Engineers: Dynamics
3.3 It is known that a vertical force of 200 lb is required to remove the nail at C from the board. As the nail...
Vector Mechanics for Engineers: Statics, 11th Edition
The moment of inertia Iy for the slender rod in terms of the rod’s total mass m .
Engineering Mechanics: Statics & Dynamics (14th Edition)
A number of common substances are
Some of these materials exhibit characteristics of both solid and fluid beha...
Fox and McDonald's Introduction to Fluid Mechanics
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- A commonly used unit in everyday language to state weight is the pound (lb). There are actually several formal definitions of pound. One classification system defines a pound-mass (analogous to kg in SI units) and a pound-force (lbf) (analogous to a Newton); this is formally called English Engineering units but also commonly used in US Customary System units. The “pound” in the “pounds per square inch” of psi refers to pound-force. Hence, psi has units of force per area. Note that 1 lbf is defined as the gravitational force generated by 1 lb (mass) by multiplying it by the standard gravitational acceleration at the earth’s surface. Starting with just the two everyday conversion approximations every Canadian should know (1.00 kg ≈ 2.20 lb (mass) and 1.00 inch ≈ 2.54 cm), derive an approximation of 1.00 psi in Pa through unit conversions only (show each step).arrow_forwardA gas occupying a volume of 28 ft3 weighs 3.1 lbf on planet X where the acceleration of gravity is 5.97 ft/s2. If its density is 0.6 lbm/ft3, in planet Y, what is the acceleration of gravity in planet Y in ft/s2 ( 2 decimal places)arrow_forwardWhen an electrical appliance whose power usage is X watts is run for Y seconds, it uses X x Y joules of energy. The energy unit used by electrical utilities in their monthly bills is the kilo watt hour ( kwh, that is 1 kilowatt used for 1 hour ) how many joules are there in in a kilowatt hour ? If electricity cost $0.09 per kilo watt hour how much does it cost per megajoule?arrow_forward
- Q1. Newton's second law is valid for an observer attached at the inertial frame. Usually, we make the approximation in using Newton's law calculating accelerations with respect to an observer on earth. Although -strictly speaking, this is wrong- the error made is often negligible. But how much of an error do we really make in using these assumptions? Are they really negligible? The questions below will help you find the answer. Assume an aircraft flying from Istanbul straight south to Cape Town, South Africa at a constant speed of 800 km/h. (Fig.1) a. What is the average acceleration the aircraft will have due to earth's curvature only in order to maintain constant altitude? b. What is the average acceleration due to the earth's curvature and earth's rotation around combined in order to maintain constant altitude? (Assume perfect sphere, neglect rotation around sun) Hint: You may calculate the acceleration by attaching a coordinate system at the airplane (Tangential and normal…arrow_forwardFive 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_forwardThe gravitational constant g is 9.807 m/s2 at sea level, but it decreases as you go up in elevation. A useful equation for this decrease in g is g = a – bz, where z is the elevation above sea level, a = 9.807 m/s2, and b = 3.32 × 10–6 1/s2. An astronaut “weighs” 80.0 kg at sea level. [Technically this means that his/her mass is 80.0 kg.] Calculate this person’s weight in N while floating around in the International Space Station (z = 354 km). If the Space Station were to suddenly stop in its orbit, what gravitational acceleration would the astronaut feel immediately after the satellite stopped moving? In light of your answer, explain why astronauts on the Space Station feel “weightless.”arrow_forward
- In class, we used the 1967 gravity formula to derive the change in gravitational acceleration g with latitude, and we calculated the result at latitude o = 45°. Plot the rate of change of g with latitude () in units of mgal/km, from the equator to the pole (ø = 0° to ø = 90°). Be careful with the units; you will need to convert radians to km. (Recall that there are 27 radians in a full circle, 360°.) doarrow_forwardThe acceleration of an object is proportional to its velocity O its mass its position its displacement O the net force acting on itarrow_forwardMechanical Engineering The following table shows the kinetic energy and potential energy according to the speed of an object descending along a frictionless rain surface. What is the potential energy when the speed is 3/2v ? (It satisfies energy conservation) velocity kinetic energy 1500J potential energy V 3/2 * v 2v 1. 1400 J 2. 1000 J 3. 800 J 4. 600 J Please solve step by step. Thanks in advance! 1600 Jarrow_forward
- A hammer has a speed of 8.0 m/s just before it strikes a 0.015 kg iron nail horizontally, using its 1.2 kg head. Assuming the nail absorbs all of the energy from the hammer, how much would the temperature of the nail rise if the hammer hit the nail 8 times in quick succession? Enter your answer in either K or °C. (Since it's a change in temperature, these units are identical.) J kg.K The heat capacity of iron is 450-arrow_forwardWhen an appliance whose power usage is X watts is run for Y seconds, it uses X x Y joules of energy. The energy unit used by electrical utilities in their monthly bills is the kilowatt-hour(kWh, that is,1 kilowatt is used for 1 hour.) How many joules are there in a kilowatt-hour? If electricity costs $0.09 per kilowatt-hour, how much does it cost per megajoule?arrow_forward3. An athlete pushes against an exercise machine with a force that varies with time according to F(1) = 1200 N (1 – kf), where k = 8 s? Also, the velocity of the athlete's legs acting in the same direction as the force acts according to v(t) = 7 m/s² t a. Create a computer generated plot of the power as a function of time. b. Find the maximum power the athlete generates and the time at which maximum power is generated.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University Press
Mechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSON
Thermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEY
Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
Engineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY
Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education
Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Introduction To Engg Mechanics - Newton's Laws of motion - Kinetics - Kinematics; Author: EzEd Channel;https://www.youtube.com/watch?v=ksmsp9OzAsI;License: Standard YouTube License, CC-BY