Mach Number to Velocity Calculator:
Enter the values of mach number, M and speed of sound in the medium, c(m/s) to determine the value of velocity, V(m/s).
Mach Number to Velocity Formula:
Mach number to Velocity (V) is a critical concept in aerodynamics and fluid dynamics, particularly relevant in the study of objects moving through different mediums at high speeds.
Mach number (M) is a dimensionless quantity used in fluid dynamics to compare the speed of an object moving through a fluid with the speed of sound in that same fluid.
The speed of sound (c) varies depending on the medium and conditions such as temperature and pressure.
Velocity, V(m/s) in metres per second is calculated by the product of mach number, M and speed of sound in the medium, c(m/s) in metres per second,
Velocity, V(m/s) = M * c(m/s)
V(m/s) = velocity in metres per second, m/s.
M= mach number.
c(m/s) =speed of sound in the medium in metres per second, m/s.
Mach Number to Velocity Calculation:
1.Example of an aircraft flying at high altitude:
Given:
- Mach number, 𝑀 = 2
- Speed of sound at cruising altitude, (m/s) =295m/s.
Velocity, V(m/s) = M * c(m/s)
V(m/s) = 2 * 295
V(m/s) = 590m/s.
2.Suppose an airplane is flying at a velocity of 660 metres per second and the speed of sound at the altitude it is flying is approximately 330 m/s. Calculate the Mach number for the airplane.
Given: (m/s) =330m/s, V(m/s) = 660m/s.
Velocity, V(m/s) = M * c(m/s)
M = V(m/s) / c(m/s)
M = 660 / 330
M = 2.
Applications and Considerations:
- Aerospace Engineering: Understanding the velocity corresponding to various Mach numbers is crucial for designing aircraft that can withstand supersonic speeds.
- Meteorology: The concept is used to study the speed of sound in different atmospheric conditions, which can vary significantly.
- Automotive Industry: High-speed vehicles, such as hypercars and high-speed rail, often consider Mach number to ensure structural integrity under dynamic pressures.
- Defence and Military: Mach number calculations are essential for the design and testing of missiles and projectiles that travel at or above supersonic speeds.