Mach Calculator

Step-by-Step Guide to Using the Mach Number Calculator

The Mach Number Calculator is a useful tool to determine the speed of an object in relation to the speed of sound in a particular medium. Follow the guide below to effectively use the calculator.

Step 1: Input the Object Velocity

• Field: Object Velocity (m/s)
• Type: Number
• Instructions: Enter the velocity of the object in meters per second. Ensure that the value is equal to or greater than 0. Inputs can have a decimal precision of up to 0.1 m/s.
• Validation: This field is required and must be filled out to proceed with the calculations.

Step 2: Input the Air Temperature

• Field: Air Temperature (°C)
• Type: Number
• Instructions: Enter the air temperature in degrees Celsius. Values should be within the range of -273.15°C to 1000°C with a precision of up to 0.1°C.
• Validation: This field is mandatory. Ensure that you provide a valid temperature value before proceeding.

Step 3: Select the Medium Type

• Field: Medium Type
• Type: Select Dropdown
• Options:
  • Air (γ = 1.4)
  • Monatomic Gas (γ = 1.66)
  • Diatomic Gas (γ = 1.33)
• Instructions: Choose the appropriate medium type for your calculation. This parameter significantly impacts the speed of sound calculation.
• Validation: Selection of a medium type is required to compute the final result.

Step 4: Interpret the Results

• Result: Speed of Sound
  • This field calculates the speed of sound based on the inputs. It uses the formula: sqrt(mediumType * 287.05 * (temperature + 273.15)). The result is displayed in meters per second (m/s) with two decimal precision.
• Result: Mach Number
  • The Mach Number is determined by dividing the velocity by the speed of sound. This value indicates how fast an object is moving relative to the speed of sound in the given medium. The result is displayed with three decimal places.
• Result: Flight Regime
  • Based on the calculated Mach Number, the flight regime categorizes the object’s speed as ‘Subsonic’, ‘Transonic’, ‘Supersonic’, or ‘Hypersonic’. This gives a qualitative understanding of the object’s velocity in relation to sound.

By following these steps and completing all fields as required, the calculator will help you accurately determine the Mach Number and related parameters for any given scenario.