What is the net force on the roof

In summary, a net force is the overall force acting on an object, calculated by adding together all of the individual forces and taking into account their direction and magnitude. It is important to calculate the net force to understand an object's motion and it relates to Newton's Laws of Motion. To determine the net force on a roof, all of the individual forces acting on it must be identified and added together.
  • #1
robvba
27
0

Homework Statement


If wind blows at 35 m/s over a house, what is the net force on the roof if its area is 240 m2 and is flat?



Homework Equations



Pat + 1/2 * pair * v^2

The Attempt at a Solution


wind velocity - v - 35
area of roof - A - 240
density of air - p - 1.29
atmospheric pressure - Pat - 100,000

Fnet=?

P = total pressure = Pat + 1/2 * p * v^2
Fnet = P * A = 24,200,000 N

but answer provided was 1.9 * 10^5 N
 
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  • #2
Aren't you just interested in the dynamic pressure term across the area of the roof?

1/2 * 1.29 * 352 * 240 = ...
 
  • #3
yes i am :)
 

FAQ: What is the net force on the roof

What is a net force?

A net force is the overall force acting on an object, taking into account all of the individual forces acting on it in different directions.

How is net force calculated?

Net force is calculated by adding together all of the forces acting on an object, taking into account their direction and magnitude. This can be done using vector addition or by using the equation Fnet = ma, where Fnet is the net force, m is the mass of the object, and a is the acceleration.

Why is it important to calculate the net force on an object?

Calculating the net force on an object is important because it helps us understand the motion of the object. If the net force is zero, the object will remain at rest or continue moving at a constant velocity. If the net force is not zero, the object will accelerate in the direction of the net force.

How does net force relate to Newton's Laws of Motion?

Newton's First Law states that an object will remain at rest or in motion with constant velocity unless a net force acts upon it. Newton's Second Law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. Newton's Third Law states that for every action, there is an equal and opposite reaction. The net force takes into account all of these laws and helps us understand the overall motion of an object.

How can the net force on the roof be determined?

The net force on the roof can be determined by identifying all of the individual forces acting on it, such as the weight of the roof, any external forces (such as wind or snow), and any internal forces (such as the support of the building). These forces can then be added together to calculate the net force on the roof.

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