EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 13, Problem 19P
An object with a mass of 100 kg is projected upward from the surface of the earth at a velocity of 50 m/s. If the object is subject to linear drag
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Given:
The plane accelerates in its current trajectory with a= 100 m/s^2
Farag
Angle theta= 5°
W=105 kips
F_drag= 80 kips
m= 1000 lbs
Find: F_thrust, F_lift
Please include the KD.
Fthrust
Futel t Fueight
000
BY NC SA
2013 Michael Swanbom
1)
The first man who studied and partially understood the kinematics of a particle
falling in the earth's gravitational field was Leonardo da Vinci (1452-1519). He
constructed an apparatus consisting of two vertical boards, hinged together on one
side and covered with blotting paper on the inside faces. A leaking water tap lets
drops fall down between the boards at presumably equal intervals of time. When
a string is suddenly pulled, the boards are clapped together and the positions of
the drops on the blotters can be inspected. Suppose that the vertical boards are 3
feet long and the leaking faucet is at such height and the rate of dropping is so
regulated that when a drop is just coming out of the faucet, the next or second
drop is just at the top of the boards and the sixth drop is at the bottom of the
boards, while drops 3, 4 and 5 are between the boards. Calculate the number of
drops leaving the faucet per second.
ANS. 11.35 drops/sec
2. A student team is to design a human-powered submarine for a design competition. The overall
length of the prototype submarine is 4.85 m, and its student designers hope that it can travel fully
submerged through water at 0.440 m/s. The water is freshwater (a lake) at T = 15 °C. The design
team builds a one-fifth scale model to test in their university's wind tunnel, as shown in the Fig. A
shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not
influence the measured drag. The air in the wind tunnel is at 25 °C and at one standard atmosphere
pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity?
Take for water at T = 15 °C and atmospheric pressure, p = 999.1 kg/m³ and µ = 1.138 × 10-³ Pa.s.
Take for air at T = 25 °C and atmospheric pressure, p = 1.184 kg/m³ and µ = 1.849 × 105 Pa.s.
Wind tunnel test section
V
Poo, P
Model
Shield
FD
Drag balance
Strut
Chapter 13 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 13 - 13.1 Given the formula
(a) Determine the...Ch. 13 - 13.2 Given
(a) Plot the function.
(b) Use...Ch. 13 - Prob. 3PCh. 13 - Repeat Prob. 13.3, except use parabolic...Ch. 13 - 13.5 Repeat Prob. 13.3 but use Newton’s method....Ch. 13 - Employ the following methods to find the maximum...Ch. 13 - 13.7 Consider the following function:
Use...Ch. 13 - Employ the following methods to find the maximum...Ch. 13 - 13.9 Consider the following function:
Perform...Ch. 13 - Consider the following function:...
Ch. 13 - 13.11 Determine the minimum of the function from...Ch. 13 - Develop a program using a programming or macro...Ch. 13 - Develop a program as described in Prob. 13.12, but...Ch. 13 - 13.14 Develop a program using a programming or...Ch. 13 - 13.15 Develop a program using a programming or...Ch. 13 - Pressure measurements are taken at certain points...Ch. 13 - 13.17 The trajectory of a ball can be computed...Ch. 13 - 13.18 The deflection of a uniform beam subject to...Ch. 13 - An object with a mass of 100 kg is projected...Ch. 13 - The normal distribution is a bell-shaped curve...Ch. 13 - An object can be projected upward at a specified...Ch. 13 - Use the golden-section search to determine the...
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