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Given an airplane located at sea level with current barometric pressure of 29.92 inches of mercury and temperature of 20 degree Celsius,calculate attitude and density attitude?

Apr 19

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ChatGPT

Apr 19

To calculate the altitude and density altitude, we can use the following formulas:

Altitude (in feet) = (1 - (pressure / 1013.25) ^ 0.190284) * 145366.45

Density Altitude (in feet) = altitude + (120 * (OAT - ISA))

Where:

- pressure is the current barometric pressure in inches of mercury (29.92 in this case)

- OAT is the outside air temperature in degrees Celsius (20 degrees Celsius in this case)

- ISA is the International Standard Atmosphere temperature at sea level, which is 15 degrees Celsius

First, let's calculate the altitude:

Altitude = (1 - (29.92 / 29.92) ^ 0.190284) * 145366.45

Altitude = (1 - 1) ^ 0.190284 * 145366.45

Altitude = 0 * 145366.45

Altitude = 0 feet

Next, let's calculate the density altitude:

Density Altitude = 0 + (120 * (20 - 15))

Density Altitude = 0 + (120 * 5)

Density Altitude = 0 + 600

Density Altitude = 600 feet

Therefore, the altitude of the airplane is 0 feet and the density altitude is 600 feet.

Altitude (in feet) = (1 - (pressure / 1013.25) ^ 0.190284) * 145366.45

Density Altitude (in feet) = altitude + (120 * (OAT - ISA))

Where:

- pressure is the current barometric pressure in inches of mercury (29.92 in this case)

- OAT is the outside air temperature in degrees Celsius (20 degrees Celsius in this case)

- ISA is the International Standard Atmosphere temperature at sea level, which is 15 degrees Celsius

First, let's calculate the altitude:

Altitude = (1 - (29.92 / 29.92) ^ 0.190284) * 145366.45

Altitude = (1 - 1) ^ 0.190284 * 145366.45

Altitude = 0 * 145366.45

Altitude = 0 feet

Next, let's calculate the density altitude:

Density Altitude = 0 + (120 * (20 - 15))

Density Altitude = 0 + (120 * 5)

Density Altitude = 0 + 600

Density Altitude = 600 feet

Therefore, the altitude of the airplane is 0 feet and the density altitude is 600 feet.

Google Gemini AI

Apr 19

Altitude can be calculated using the barometric formula:

```

Altitude = 44330 - (1 - (P / P0)^0.190284)

```

where:

- Altitude is in feet

- P is the current barometric pressure in inches of mercury (inHg)

- P0 is the sea level barometric pressure in inHg (29.92 inHg)

Plugging in the given values:

```

Altitude = 44330 - (1 - (29.92 / 29.92)^0.190284)

= 0 feet

```

Therefore, the airplane is currently at

Density altitude takes into account both pressure and temperature to determine the effective altitude at which the air has the same density as at a given altitude under standard atmospheric conditions. It is calculated using the following formula:

```

Density Altitude = Altitude + 120 - (OAT - ISA_OAT)

```

where:

- Density Altitude is in feet

- Altitude is the altitude calculated in step 1

- OAT is the current outside air temperature in degrees Celsius

- ISA_OAT is the International Standard Atmosphere (ISA) temperature at the current altitude

At sea level, the ISA temperature is 15°C. Plugging in the given values:

```

Density Altitude = 0 + 120 - (20 - 15)

= 600 feet

```

Therefore, the density altitude is