Determine the average force of the wind on the building

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SUMMARY

The discussion centers on calculating the average force of wind on a building subjected to a 140 km/h wind. The building dimensions are 60 m wide and 50 m high, with air density at 1.3 kg/m³. The impulse equation is suggested for use, but participants note the challenge of lacking a time variable. The key to solving the problem lies in determining the volume of air that impacts the building in one second.

PREREQUISITES
  • Understanding of the impulse equation in physics
  • Knowledge of air density and its implications in force calculations
  • Familiarity with basic kinematics and fluid dynamics
  • Ability to calculate volume based on dimensions
NEXT STEPS
  • Calculate the volume of air striking the building per second at 140 km/h
  • Apply the impulse equation to find the average force exerted by the wind
  • Explore fluid dynamics principles related to wind force on structures
  • Investigate real-world applications of wind force calculations in architecture
USEFUL FOR

Students studying physics, engineers involved in structural design, and anyone interested in the effects of wind on buildings will benefit from this discussion.

Fisicks
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Homework Statement


Air in a 140 km/h wind strikes head-on the face of a building 60 m wide by 50 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.

Homework Equations


The book seems to suggest the impulse equation.

The Attempt at a Solution


I have stared at the problem for a while. I thought I could use the impulse equation but I don't have a change in time. Also, it gives you the density which is in 3 dimensions and you only know two from the problem, length and height of the building. Overall, I'm just stumped which is weird for me.
 
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Hi Fisicks! :smile:
Fisicks said:
… I thought I could use the impulse equation but I don't have a change in time. Also, it gives you the density which is in 3 dimensions and you only know two from the problem, length and height of the building.

Hint: what is the volume of air stopped in one second? :wink:
 


thanks!
 

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