Joe can pedal his bike at 10 m/s on a straight levelroad with no wind. The rolling resistance of his bike is0.80 N ? s/m—that is, 0.80 N of force per m/s of speed.The drag area (CDA) of Joe and his bike is 0.422 m2.Joe’s mass is 80 kg and that of the bike is 15 kg. He nowencounters a headwind of 5.0 m/s. (a) Develop an equationfor the speed at which Joe can pedal into the wind. Hint:A cubic equation for V will result. (b) Solve for V; thatis, how fast can Joe ride into the headwind? (c) Why isthe result not simply 10 -5.0 = 5.0 m/s, as one mightfi rst suspect?
Joe can pedal his bike at 10 m/s on a straight levelroad with no wind. The rolling resistance of his bike is0.80 N ? s/m—that is, 0.80 N of force per m/s of speed.The drag area (CDA) of Joe and his bike is 0.422 m2.Joe’s mass is 80 kg and that of the bike is 15 kg. He nowencounters a headwind of 5.0 m/s. (a) Develop an equationfor the speed at which Joe can pedal into the wind. Hint:A cubic equation for V will result. (b) Solve for V; thatis, how fast can Joe ride into the headwind? (c) Why isthe result not simply 10 -5.0 = 5.0 m/s, as one mightfi rst suspect?
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Joe can pedal his bike at 10 m/s on a straight level
road with no wind. The rolling resistance of his bike is
0.80 N ? s/m—that is, 0.80 N of force per m/s of speed.
The drag area (CDA) of Joe and his bike is 0.422 m2.
Joe’s mass is 80 kg and that of the bike is 15 kg. He now
encounters a headwind of 5.0 m/s. (a) Develop an equation
for the speed at which Joe can pedal into the wind. Hint:
A cubic equation for V will result. (b) Solve for V; that
is, how fast can Joe ride into the headwind? (c) Why is
the result not simply 10 -5.0 = 5.0 m/s, as one might
fi rst suspect?
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