Air is flowing through a rocket nozzle. inside the rocket the air has a density of 5.25 kg/m3 and a speed of 1.20 m/s. the interior diameter of the rocket is 15.0 cm. at the nozzle exit, the diameter is 2.50 cm and the density is 1.29 kg/m3. what is the speed of the air when it leaves the nozzle? air is flowing through a rocket nozzle. inside the rocket the air has a density of 5.25 kg/m3 and a speed of 1.20 m/s. the interior diameter of the rocket is 15.0 cm. at the nozzle exit, the diameter is 2.50 cm and the density is 1.29 kg/m3. what is the speed of the air when it leaves the nozzle? 45.7 m/s 29.3 m/s 88.0 m/s 123 m/s 176 m/s

The velocity at exit of the nozzle is 175.8 m/s

Solution:

As per the question:

Air density inside the rocket,

Speed, v = 1.20 m/s

The inner diameter of the rocket,

The inner radius of the rocket,

The exit diameter of the nozzle,

The exit radius of the nozzle,

Air density inside the nozzle,

Now,

To calculate the air speed when it leaves the nozzle:

Mass rate in the interior of the rocket,

Mass rate in the outlet of the nozzle,

Now,

Now,

We know that:

v' = 175.8 m/s

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