Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Our Q&A platform provides quick and trustworthy answers to your questions from experienced professionals in different areas of expertise. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A gust of wind blows parallel to a window with area 2.5m2.. Assume the pressure inside the house is at atmospheric pressure and that the gust reaches 30 m/s. Which answer most closely approximates the force on the window

Sagot :

nuhulawal20

Assuming that the pressure inside the house is at atmospheric pressure, the force on the window is approximately 1378 Newtons.

Given the data in the question;

  • Area of the window; [tex]A = 2.5m^2[/tex]
  • Velocity of wind; [tex]V = 30m/s[/tex]

Force on the window; [tex]F = \ ?[/tex]

Force

Force is an influence that can cause the change of motion of a particle or object. Also, force normal to the area of a surface is equal to pressure multiply by the area of that surface.

[tex]F = P * A[/tex]

Where P is pressure and A is area of the surface.

Also, we know that;

[tex]Pressure \ P = \frac{D_{air}V^2}{2}[/tex]

Where [tex]D_{air}[/tex] is density of air, approximately( [tex]1.225 kg/m^3[/tex] ) and V is velocity.

Hence

[tex]F = P * A\\\\F = \frac{D_{air}V^2}{2} * A[/tex]

We substitute our values into the equation above

[tex]F = \frac{D_{air}V^2}{2} * A\\\\F = \frac{1.225kg/m^3*(30m/s)^2}{2} * 2.5m^2\\\\F = 551.25 kg/ms^2 * 2.5m^2\\\\F = 1378.13 kgm/s^2\\\\F = 1378N[/tex]

Therefore, Assuming that the pressure inside the house is at atmospheric pressure, the force on the window is approximately 1378 Newtons.

Learn more about force on the surface of an area: https://brainly.com/question/1130378

Thanks for using our platform. We're always here to provide accurate and up-to-date answers to all your queries. We appreciate your visit. Our platform is always here to offer accurate and reliable answers. Return anytime. Keep exploring Westonci.ca for more insightful answers to your questions. We're here to help.