Glencoe Physics: Principles and Problems, Student Edition
Glencoe Physics: Principles and Problems, Student Edition
1st Edition
ISBN: 9780078807213
Author: Paul W. Zitzewitz
Publisher: Glencoe/McGraw-Hill
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Chapter 6.3, Problem 37SSC
To determine

Plane speed and direction relative to ground.

Expert Solution & Answer
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Answer to Problem 37SSC

Speed of plane relative to ground is vpg=194.56km/h and direction is θ=64.09° south east.

Explanation of Solution

Given:

Speed of plane relative to air is vpa=175km/h towards south

Speed of wind relative to ground is vag=85km/h towards east

Formula used:

The resultant of two perpendicular vectors is

  R=x2+y2

Angle of resultant is

  θ=tan1xy

Calculation:

Speed of plane relative to ground is

  vpg2=vpa2+vag2vpg=vpa2+vag2=1752+852=194.56km/h

Direction of plane relative to ground is,

  θ=tan1(vpavag)=tan1(17585)θ=64.09°

So, direction is θ=64.09° south east.

Conclusion:

Therefore, speed of plane relative to ground is vpg=194.56km/h and direction is θ=64.09° south east.

Chapter 6 Solutions

Glencoe Physics: Principles and Problems, Student Edition

Ch. 6.1 - Prob. 11SSCCh. 6.2 - Prob. 12PPCh. 6.2 - Prob. 13PPCh. 6.2 - Prob. 14PPCh. 6.2 - Prob. 15PPCh. 6.2 - Prob. 16PPCh. 6.2 - Prob. 17SSCCh. 6.2 - Prob. 18SSCCh. 6.2 - Prob. 19SSCCh. 6.2 - Prob. 20SSCCh. 6.2 - Prob. 21SSCCh. 6.2 - Prob. 22SSCCh. 6.2 - Prob. 23SSCCh. 6.2 - Prob. 24SSCCh. 6.2 - Prob. 25SSCCh. 6.3 - Prob. 26PPCh. 6.3 - Prob. 27PPCh. 6.3 - Prob. 28PPCh. 6.3 - Prob. 29PPCh. 6.3 - Prob. 30PPCh. 6.3 - Prob. 31PPCh. 6.3 - Prob. 32SSCCh. 6.3 - Prob. 33SSCCh. 6.3 - Prob. 34SSCCh. 6.3 - Prob. 35SSCCh. 6.3 - Prob. 36SSCCh. 6.3 - Prob. 37SSCCh. 6.3 - Prob. 38SSCCh. 6.3 - Prob. 39SSCCh. 6 - Prob. 40ACh. 6 - Prob. 41ACh. 6 - Prob. 42ACh. 6 - Prob. 43ACh. 6 - Prob. 44ACh. 6 - Prob. 45ACh. 6 - Prob. 46ACh. 6 - Prob. 47ACh. 6 - Prob. 48ACh. 6 - Prob. 49ACh. 6 - Prob. 50ACh. 6 - Prob. 51ACh. 6 - Prob. 52ACh. 6 - Prob. 53ACh. 6 - Prob. 54ACh. 6 - Prob. 55ACh. 6 - Prob. 56ACh. 6 - Prob. 57ACh. 6 - Prob. 58ACh. 6 - Prob. 59ACh. 6 - Prob. 60ACh. 6 - Prob. 61ACh. 6 - Prob. 62ACh. 6 - Prob. 63ACh. 6 - Prob. 64ACh. 6 - Prob. 65ACh. 6 - Prob. 66ACh. 6 - Prob. 67ACh. 6 - Prob. 68ACh. 6 - Prob. 69ACh. 6 - Prob. 70ACh. 6 - Prob. 71ACh. 6 - Prob. 72ACh. 6 - Prob. 73ACh. 6 - Prob. 74ACh. 6 - Prob. 75ACh. 6 - Prob. 76ACh. 6 - Prob. 77ACh. 6 - Prob. 78ACh. 6 - Prob. 79ACh. 6 - Prob. 80ACh. 6 - Prob. 81ACh. 6 - Prob. 82ACh. 6 - Prob. 83ACh. 6 - Prob. 84ACh. 6 - Prob. 85ACh. 6 - Prob. 86ACh. 6 - Prob. 87ACh. 6 - Prob. 88ACh. 6 - Prob. 89ACh. 6 - Prob. 90ACh. 6 - Prob. 91ACh. 6 - Prob. 92ACh. 6 - Prob. 93ACh. 6 - Prob. 94ACh. 6 - Prob. 95ACh. 6 - Prob. 96ACh. 6 - Prob. 97ACh. 6 - Prob. 1STPCh. 6 - Prob. 2STPCh. 6 - Prob. 3STPCh. 6 - Prob. 4STPCh. 6 - Prob. 5STPCh. 6 - Prob. 6STPCh. 6 - Prob. 7STPCh. 6 - Prob. 8STPCh. 6 - Prob. 9STP

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