The fluid velocity at the exit of a nozzle is 280 m/s. The velocity is 346 m/s. Determine the Mach number for the flow.Group of answer choices0.2361.2361.8090.809
Question
The fluid velocity at the exit of a nozzle is 280 m/s. The velocity is 346 m/s. Determine the Mach number for the flow.Group of answer choices0.2361.2361.8090.809
Solution
The Mach number is a dimensionless quantity representing the speed of an object moving through a fluid medium, such as air, divided by the speed of sound in that medium. It's named after Ernst Mach, an Austrian physicist.
The formula to calculate the Mach number (M) is:
M = V / a
where: V is the velocity of the object (in this case, the fluid velocity at the exit of the nozzle) a is the speed of sound in the medium (in this case, the given velocity)
Given: V = 280 m/s a = 346 m/s
Substitute these values into the formula:
M = 280 m/s / 346 m/s = 0.809
So, the Mach number for the flow is 0.809.
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