Explanation Given information: A wind is blowing out of north at 45 km/h. A bridge is oriented at 32 0 east of north. Calculation: As per the given information, A wind is blowing out of north at 45 mph. i.e. wind vector will be w = 〈 0 , − 45 〉 km/h. A bridge is oriented at 32 0 east of north. Unit vector parallel to the bridge will be given as, u = 〈 c o s 58 0 , s i n 58 0 〉 . w ⋅ u = 〈 0 , − 45 〉 ⋅ 〈 c o s 58 0 , s i n 58 0 〉 ⇒ w ⋅ u = − 45 sin 58 0 Also, u ⋅ u = 1 Component of wind vector parallel to the bridge will be given as - w | | u = ( w ⋅ u u ⋅ u ) u ⇒ w | | u = − 45 sin 58 0 〈 c o s 58 0 , s i n 58 0 〉 ⇒ w | | u = 〈 − 20.22 , − 32.36 〉 Further, w ⊥ u = w − w | | u ⇒ w ⊥ u = 〈 0 , − 45 〉 − 〈 − 20

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ISBN: 9781319050733

Author: Rogawski

Publisher: MAC HIGHER

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Chapter 13.3, Problem 85E

To determine

The wind vector as a sum of vectors, one parallel to the bridge and one perpendicular to it.

Speed of part of the wind blowing directly at the bridge.

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Chapter 13.3, Problem 84E

Chapter 13.3, Problem 86E

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The wind vector as a sum of vectors , one parallel to the bridge and one perpendicular to it. Speed of part of the wind blowing directly at the bridge.

Solution Summary: The author calculates the wind vector as a sum of vectors, one parallel to the bridge and one perpendicular to it.

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The wind vector as a sum of vectors, one parallel to the bridge and one perpendicular to it.

Speed of part of the wind blowing directly at the bridge.

Want to see the full answer?

Chapter 13 Solutions

The wind vector as a sum of vectors , one parallel to the bridge and one perpendicular to it. Speed of part of the wind blowing directly at the bridge.

Solution Summary: The author calculates the wind vector as a sum of vectors, one parallel to the bridge and one perpendicular to it.

Concept explainers

Videos

The wind vector as a sum of vectors, one parallel to the bridge and one perpendicular to it. Speed of part of the wind blowing directly at the bridge.

Want to see the full answer?

Chapter 13 Solutions

The wind vector as a sum of vectors, one parallel to the bridge and one perpendicular to it.

Speed of part of the wind blowing directly at the bridge.