It's empirically derived, for a certain range of speeds. Conceptually in a simplified model: Twice the speed means twice the number of particles loose twice the momentum in the same time, so four times the momentum change in the same time.Mykhalo P said:I read in a book that the pressure caused by a wind blowing against a structure increases as the square of the wind velocity. I cannnot logically understand how that makes sense, and I can't think of any equation to support it. Can somebody please shed light, conceptually or mathematically, as to why this statement holds true? I appreciate any and all help.
it also has to do with KE . KE will go up with the square of speed. those molecules of air at higher speed have a squared weight attached to them.A.T. said:It's empirically derived, for a certain range of speeds. Conceptually in a simplified model: Twice the speed means twice the number of particles loose twice the momentum in the same time, so four times the momentum change in the same time.
Cube of the speed, not the speed difference. The incremental power requirement for, say, a 1 mph speed difference goes as the square of the current speed.zanick said:[...]will take the cube of the speed difference
With the cube of speed: F ~ v2 so F * v = P ~ v3zanick said:the rate of doing work of moving the air molecules out of the way, goes up with the square of speed.
sorry, meant "cube of the speed change" not difference. it changes by factor of 2, power changes by 2^3 or 8 times)jbriggs444 said:Cube of the speed, not the speed difference. The incremental power requirement for, say, a 1 mph speed difference goes as the square of the current speed.
1013 - 1003 ~= 30,000
2013 - 2003 ~= 120,000
As this article shows:Mykhalo P said:I read in a book that the pressure caused by a wind blowing against a structure increases as the square of the wind velocity. I cannnot logically understand how that makes sense, and I can't think of any equation to support it. Can somebody please shed light, conceptually or mathematically, as to why this statement holds true? I appreciate any and all help.
The relationship between wind and pressure is that wind moves from areas of high pressure to areas of low pressure. This is known as the pressure gradient force. The greater the difference in pressure between two areas, the stronger the wind will be.
Wind can affect pressure by causing changes in air pressure. As wind moves from areas of high pressure to areas of low pressure, it can cause changes in pressure patterns. This can lead to changes in weather conditions.
Several factors can influence the relationship between wind and pressure. These include the temperature, humidity, and topography of an area. Additionally, the rotation of the Earth and the Coriolis effect can also play a role in the direction and strength of winds.
Scientists use instruments called barometers to measure air pressure, and anemometers to measure wind speed and direction. These measurements are then used to understand the relationship between wind and pressure and make predictions about future weather patterns.
Understanding the relationship between wind and pressure is important for a variety of practical applications, such as predicting weather patterns and forecasting severe storms. It is also crucial for industries such as aviation and marine transportation, where accurate knowledge of wind and pressure conditions can impact safety and efficiency.