Vector Mechanics for Engineers: Dynamics
11th Edition
ISBN: 9780077687342
Author: Ferdinand P. Beer, E. Russell Johnston Jr., Phillip J. Cornwell, Brian Self
Publisher: McGraw-Hill Education
expand_more
expand_more
format_list_bulleted
Concept explainers
Textbook Question
Chapter 14.3, Problem 14.70P
While cruising in level flight at a speed of 600 mi/h, a jet plane scoops in air at the rate of 200 Ib/s and discharges it with a velocity of 2100 ft/s relative to the airplane. Determine the total drag due to air friction on the airplane.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solutionStudents have asked these similar questions
A braking system for an aircraft consists of 2 parachutes, each having a diameter of 3.75 m, deployed
from the rear. If the aircraft has a mass of 14,500 kg and lands at 320 km/hr, determine the time
and distance required to decelerate the aircraft to 100 km/hr. Assume brakes are not used and the
drag of the aircraft is negligible.
A jumbo jet airplane has a mass of about 400,000 kg when fully loaded with over 400 passengers and takes off at a speed of 250 km/h. Determine the takeoff speed when the airplane has 150 empty seats. Assume each passenger with luggage is 140 kg and the wing and flap settings are maintained the same.
On its takeoff roll, the airplane starts from rest and accelerates according to a = ao - kv² where ao is the constant acceleration resulting
from the engine thrust and -kv² is the acceleration due to aerodynamic drag. If að = 1.6 m/s², k = 0.000039 m ¹, and vis in meters per
second, determine the design length of runway required for the airplane to reach the takeoff speed of 271 km/h if the drag term is (a)
excluded and (b) included.
V0 = 0
Answers:
(a) Excluding drag, s= i
(a) Including drag, S= i
v=271 km/h
m
3
Chapter 14 Solutions
Vector Mechanics for Engineers: Dynamics
Ch. 14.1 - A 30-g bullet is fired with a horizontal velocity...Ch. 14.1 - Two identical 1350-kg automobiles A and B are at...Ch. 14.1 - An airline employee tosses two suitcases with...Ch. 14.1 - A bullet is fired with a horizontal velocity of...Ch. 14.1 - Two swimmers A and B, of weight 190 lb and 125 lb,...Ch. 14.1 - A 180-lb man and a 120-lb woman stand side by side...Ch. 14.1 - A 40-Mg boxcar A is moving in a railroad...Ch. 14.1 - Two identical cars A and B are at rest on a...Ch. 14.1 - A 20-kg base satellite deploys three...Ch. 14.1 - For the satellite system of Prob. 14.9. assuming...
Ch. 14.1 - A system consists of three identical 19.32-lb...Ch. 14.1 - A system consists of three identical 19.32-lb...Ch. 14.1 - A system consists of three particles A, B, and C....Ch. 14.1 - For the system of particles of Prob. 14.13,...Ch. 14.1 - A 13-kg projectile is passing through the origin O...Ch. 14.1 - A 300-kg space vehicle traveling with a velocity...Ch. 14.1 - A 2-kg model rocket is launched vertically and...Ch. 14.1 - An 18-kg cannonball and a 12-kg cannonball are...Ch. 14.1 - Car A was traveling east at high speed when it...Ch. 14.1 - Knowing that the coordinates of the utility pole...Ch. 14.1 - An expert archer demonstrates his ability by...Ch. 14.1 - Two spheres, each of mass m, can slide freely on a...Ch. 14.1 - In a game of pool, ball A is moving with a...Ch. 14.1 - A 6-kg shell moving with a velocity...Ch. 14.1 - A 6-kg shell moving with a velocity...Ch. 14.1 - In a scattering experiment, an alpha particle A is...Ch. 14.1 - Derive the relation Ho=rmv+HG between the angular...Ch. 14.1 - Show that Eq. (14.23) may be derived directly from...Ch. 14.1 - Consider the frame of reference Ax'y'z' in...Ch. 14.1 - Show that the relation MA=HA where HA is defined...Ch. 14.2 - Determine the energy lost due to friction and the...Ch. 14.2 - Prob. 14.32PCh. 14.2 - In Prob. 14.6. determine the work done by the...Ch. 14.2 - Determine the energy lost as a result of the...Ch. 14.2 - Two automobiles A and B, of mass mA and mB,...Ch. 14.2 - It is assumed that each of the two automobiles...Ch. 14.2 - Solve Sample Prob. 14.5, assuming that cart A is...Ch. 14.2 - Two hemispheres are held together by a cord which...Ch. 14.2 - A 15-lb block B starts from rest and slides on the...Ch. 14.2 - A 40-lb block B is suspended from a 6-ft cord...Ch. 14.2 - In a game of pool, ball A is moving with a...Ch. 14.2 - In a game of pool, ball A is moving with a...Ch. 14.2 - Three spheres, each with a mass of m, can slide...Ch. 14.2 - In a game of pool, ball A is moving with the...Ch. 14.2 - The 2-kg sub-satellite B has an initial velocity...Ch. 14.2 - A 900-lb space vehicle traveling with a velocity...Ch. 14.2 - Four small disks A, B, C, and D can slide freely...Ch. 14.2 - In the scattering experiment of Prob. 14.26, it is...Ch. 14.2 - Three identical small spheres, each of weight 2...Ch. 14.2 - Three small spheres A, B, C, each of mass m, are...Ch. 14.2 - In a game of billiards, ball A is given an initial...Ch. 14.2 - For the game of billiards of Prob. 14.51, it is...Ch. 14.2 - Two small disks A and B of mass 3 kg and 1.5 kg,...Ch. 14.2 - Two small disks A and B of mass 2 kg and 1 kg,...Ch. 14.2 - Three small identical spheres A, B, and C, which...Ch. 14.2 - Three small identical spheres A, B, and C, which...Ch. 14.3 - A stream of water with a density of =1000kg/m3 is...Ch. 14.3 - A jet ski is placed in a channel and is tethered...Ch. 14.3 - The nozzle shown discharges a stream of water at a...Ch. 14.3 - The nozzle shown discharges a stream of water at a...Ch. 14.3 - A rotary power plow is used to remove snow from a...Ch. 14.3 - Tree limbs and branches are being fed at A at the...Ch. 14.3 - Sand falls from three hoppers onto a conveyor belt...Ch. 14.3 - The stream of water shown flows at a rate of 550...Ch. 14.3 - The nozzle shown discharges water at the rate of...Ch. 14.3 - A stream of water flowing at a rate of 1.2 m/min...Ch. 14.3 - A stream of water flowing at a rate of 1.2 m3/min...Ch. 14.3 - Coal is being discharged from a first conveyor...Ch. 14.3 - The total drag due to air friction on a jet...Ch. 14.3 - While cruising in level flight at a speed of 600...Ch. 14.3 - In order to shorten the distance required for...Ch. 14.3 - The helicopter shown can produce a maximum...Ch. 14.3 - Prior to takeoff, the pilot of a 3000-kg...Ch. 14.3 - The jet engine shown scoops in air at A at a rate...Ch. 14.3 - A jet airliner is cruising at a speed of 900 km/h...Ch. 14.3 - A 16-Mg jet airplane maintains a constant speed of...Ch. 14.3 - The propeller of a small airplane has a...Ch. 14.3 - The wind turbine generator shown has an...Ch. 14.3 - A wind turbine generator system having a diameter...Ch. 14.3 - While cruising in level flight at a speed of 570...Ch. 14.3 - In a Pelton-wheel turbine, a stream of water is...Ch. 14.3 - A circular reentrant orifice (also called Borda’s...Ch. 14.3 - A railroad car with length L and mass mg when...Ch. 14.3 - The depth of water flowing in a rectangular...Ch. 14.3 - Determine the rate of flow in the channel of Prob....Ch. 14.3 - A chain of length I and mass m lies in a pile on...Ch. 14.3 - Solve Prob. 14.86, assuming that the chain is...Ch. 14.3 - The ends of a chain lie in piles at A and C. When...Ch. 14.3 - A toy car is propelled by water that squirts from...Ch. 14.3 - A toy car is propelled by water that squirts from...Ch. 14.3 - The main propulsion system of a space shuttle...Ch. 14.3 - The main propulsion system of a space shuttle...Ch. 14.3 - A rocket sled bums fuel at the constant rate of...Ch. 14.3 - A space vehicle describing a circular orbit about...Ch. 14.3 - A 540-kg spacecraft is mounted on top of a rocket...Ch. 14.3 - The rocket used to launch the 540-kg spacecraft of...Ch. 14.3 - The weight of a spacecraft, including fuel, is...Ch. 14.3 - The rocket engines of a spacecraft are fired to...Ch. 14.3 - Determine the distance traveled by the spacecraft...Ch. 14.3 - A rocket weighs 2600 lb. including 2200 lb of...Ch. 14.3 - Determine the altitude reached by the spacecraft...Ch. 14.3 - For the spacecraft and the two-stage launching...Ch. 14.3 - In a jet airplane, the kinetic energy imparted to...Ch. 14.3 - In a rocket, the kinetic energy imparted to the...Ch. 14 - Three identical cars are being unloaded from an...Ch. 14 - A 30-g bullet is fired with a velocity of 480 m/s...Ch. 14 - An 80-Mg railroad engine A coasting at 6.5 km/h...Ch. 14 - In a game of pool, ball A is moving with a...Ch. 14 - Mass C, which has a mass of 4 kg, is suspended...Ch. 14 - A 15-lb block B is at rest and a spring of...Ch. 14 - Car A of mass 1800 kg and car B of mass 1700 kg...Ch. 14 - The nozzle shown discharges a stream of water at...Ch. 14 - An airplane with a weight W and a total wing span...Ch. 14 - The final component of a conveyor system receives...Ch. 14 - A garden sprinkler has four rotating arms, each of...Ch. 14 - A chain of length I and mass m falls through a...
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
- Prob. 15-1 15-142. The 12-Mg jet airplane has a constant speed of 950 km/h when it is flying along a horizontal straight line. Air enters the intake scoops S at the rate of 50 m/s. If the engine burns fuel at the rate of 0.4 kg/s and the gas (air and fuel) is exhausted relative to the plane with a speed of 450 m/s, determine the resultant drag force exerted on the plane by air resistance. Assume that air has a constant density of 1.22 kg/m³. Hint: Since mass both enters and exits the plane, Eqs. 15-28 and 15–29 must be combined to yield dv dm. dm; ΣF, - m Vple dt + vpli dt dt v = 950 km/h %24arrow_forward1. As part of your role at a heavy-goods vehicle manufacturer, you have been asked to determine the drag caused by the boundary layer developing along a section of the trailer roof, which can be treated as having constant pressure, as the truck travels at 10 m/s. The velocity profile in this region is given by: - A (+ 1) + 1 us where us is the velocity at the edge of the boundary layer. A and B are constants.arrow_forwardA sailor is stuck on a tropical island and emergency supplies are airlifted to him before a ship can come to his rescue. The supply plane (at an altitude of H = 150 ft) and approaching the island at a speed of v = 200 mph. How far before the island must the supply package be released if it is to just reach the island? Note: 200 mph = 293.3 ft/sarrow_forward
- An airplane has a mass of 68,000kg and has an effective wing area of 122.6m?. Determine the angle of attack (angle between the wing and the horizontal axis) that the wing must make with the oncoming air at a speed of 270km/h so that the lift force (FL) is equal to the weight of the airplane. Assume that the coefficient of lift C varies linearly from 0.70 at 0° to 1.60 at 6°. Take pair = 1.225kgm-3 and g 9.81ms-2. %3Darrow_forwardA 70-kg person paradropped from an airplane at 22000 ft. Given that the air drag that he will experience has a force F equals 0.13575 v squared Newtons, where v is in meters per second. Determine his terminal velocity.arrow_forwardUsing a conservation of momentum equation, show that the force on the hemispherical vane is twice that of the force on the flat vane ?arrow_forward
- A 50,000 lb box car going 25 mi/h is to be hitched to a gondola carrying bulk copper ore (netweight = 100,000 lb). Determine the velocity of both the railroad cars after being hitched if thegondola is initially at rest. Determine the time it takes for both railroad cars to come to rest. μk (Gondola)= 0.30arrow_forwardWhat’s the answer for this please?arrow_forwardThe 10-Mg jet plane has a constant speed of 860 km/h when it is flying horizontally. Air enters the intake at the rate of 40 m3 /s. If the engine burns fuel at the rate of 2.2 kg/s, and the gas (air and fuel) is exhausted relative to the plane with a speed of 600 m/s, determine the resultant drag force, in kN, exerted on the plane by the air resistance. Assume that the air has a constant density of 1.22 kg/m3arrow_forward
- The ship was traveling at 2.5 m/s toward the reef when a mechanical failurecaused the rudder to jam in the straight-ahead position. At that point in time, the shipwas 900 m from the reef. The wind was blowing directly toward the reef and exertinga constant force of 9.00 x 103 N on the boat in a direction toward the reef. The massof the ship and its cargo was 5.50 x 10 kg. During the preparation for the trial, thecaptain claims that without control of the direction of travel, the only choice he hadwas to put the engines in reverse at maximum power, such that the total force exertedby the frictional drag force of the water on the propeller was 1.25 x 10-N in a directionaway from the reef. From this information, construct a convincing argument thatnothing the captain could do in this situation could have prevented the sh fromstriking the reef.arrow_forwardA 50,000 lb box car going 2.5 mi/h is to be hitched to a gondola carrying bulk copper ore (net weight = 100,000lb). Determine the velocity of both the railroad cars after being hitched if the gondola is initially at rest. Determine thetime it takes for both railroad cars to come to rest. μk (Gondola) = 0.30arrow_forwardA relative airflow of 50 ft/s is flowing around the cylinder which has a diameter of 3 ft, and a length of 8 ft. Determine the total lift it creates when it is rotating at a rate of 1200 rpm at standard sea level.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 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
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
Dynamics - Lesson 1: Introduction and Constant Acceleration Equations; Author: Jeff Hanson;https://www.youtube.com/watch?v=7aMiZ3b0Ieg;License: Standard YouTube License, CC-BY