EBK NUMERICAL METHODS FOR ENGINEERS
7th Edition
ISBN: 9780100254145
Author: Chapra
Publisher: YUZU
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Chapter 1, Problem 4P
For the free-falling parachutist with linear drag, assume a first jumper is 70 kg and has a drag coefficient of 12 kg/s. If a second jumper has a drag coefficient of 15 kg/s and a mass of 80 kg, how long will it take him to reach the same velocity the first jumper reached in 9 s?
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Experiments were conducted in a wind tunnel with a wind speed of 16.66 m/sec on a flat plate having area 2.25 x 10 4 cm2 and 1.5 m wide. The density of air is 1.2 kg/m3, the co-efficient of lift and drag are 0.25 and 0.70 respectively. Determine (i) the lift force, (ii) the drag force, (iii) direction of resultant force and (iv) the power exerted by air on plate.
Jane wants to estimate the drag coefficient of herself on herbicycle. She measures the projected frontal area to be 0.40 m2and the rolling resistance to be 0.80 N . s/m. The mass ofthe bike is 15 kg, while the mass of Jane is 80 kg. Jane coasts down a long hill that has a constant 4° slope. (SeeFig. ) She reaches a terminal (steady-state) speed of14 m/s down the hill. Estimate the aerodynamic drag coefficient CD of the rider and bicycle combination.
A parachute of hemi-spherical shape
allows a parachute jumper of weight 90kg
to descend with a steady velocity of 8 m/s
ignoring air movement. The drag
coefficient of parachute as determined
from experiments is 1.5. Take the density
of air as 1.2 kg/m³. The drag force will be
equal to
O 90 N
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883 N
O 1156 N
Chapter 1 Solutions
EBK NUMERICAL METHODS FOR ENGINEERS
Ch. 1 - Use calculus to solve Eq. (1.9) for the case where...Ch. 1 - 1.2 Repeat Example 1.2. Compute the velocity to ...Ch. 1 - Rather than the linear relationship of Eq. (1.7),...Ch. 1 - For the free-falling parachutist with linear drag,...Ch. 1 - Compute the velocity of a free-falling parachutist...Ch. 1 - 1.6 The following information is available for a...Ch. 1 - The amount of a uniformly distributed radioactive...Ch. 1 - A group of 35 students attend a class in a room...Ch. 1 - A storage tank contains a liquid at depth y, where...Ch. 1 - For the same storage tank described in Prob. 1.9,...
Ch. 1 - 1.11 Apply the conservation of volume (see Prob....Ch. 1 - In our example of the free-falling parachutist,...Ch. 1 - 1.13 Suppose that a spherical droplet of liquid...Ch. 1 - Newtons law of cooling says that the temperature...Ch. 1 - As depicted in Fig. P1.15, an RLC circuit consists...Ch. 1 - 1.16 Cancer cells grow exponentially with a...Ch. 1 - 1.17 A fluid is pumped into the network shown in...Ch. 1 - The velocity is equal to the rate of change of...Ch. 1 - You are working as a crime-scene investigator and...Ch. 1 - 1.21 As noted in Prob. 1.3, drag is more...Ch. 1 - 1.22 As depicted in Fig. P1.22, a spherical...Ch. 1 - As described in Prob. 1.22, in addition to the...Ch. 1 - As depicted in Fig. P1.24, the downward deflection...Ch. 1 - 1.25 Use Archimedes’ principle to develop a...Ch. 1 - Beyond fluids, Archimedes principle has proven...
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