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Physics / Physics: Principles with Applications 7 / Chapter 7 / Problem 13

Physics: Principles with Applications | 7th Edition | ISBN: 9780321625922 | Authors: Douglas C. Giancoli

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Air in a 120-km/h wind strikes head-on the face of a

Chapter 7, Problem 13

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QUESTION:

Air in a 120-km/h wind strikes head-on the face of a building 45 m wide by 75 m high and is brought to rest. If air has a mass of 1.3 kg per cubic meter, determine the average force of the wind on the building.

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QUESTION:

Air in a 120-km/h wind strikes head-on the face of a building 45 m wide by 75 m high and is brought to rest. If air has a mass of 1.3 kg per cubic meter, determine the average force of the wind on the building.

ANSWER:

Problem 13

Air in a 120-km/h wind strikes head-on the face of a building 45 m wide by 75 m high and is brought to rest. If air has a mass of 1.3 kg per cubic meter, determine the average force of the wind on the building.

Step by Step Solution

Step 1 of 3

The general equation of the average force acting on an object is given as the ratio of change in the momentum to the duration of the impact.

Here, is the mass of the air, is the final velocity of the air, is the initial velocity of the air, and is the duration of the impact of the air on the building.

The mass of the air is . The amount of air that strikes the building is the air enclosed at a distance of 1m in front of the building. That is .

Thus the mass of the air is,

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