What is the nozzle reaction for a smooth-bore 1.5-inch tip operating at a nozzle pressure of 50 psi?

To determine the nozzle reaction of a smooth-bore nozzle, you can use the formula:

[ \text{Nozzle Reaction (NR)} = \frac{(0.1) \times (N^2)}{2} ]

where ( N ) is the nozzle pressure in psi.

In this case, for a smooth-bore nozzle, the formula can be more broadly represented as:

[ \text{NR} = 1.57 \times d^2 \times P ]

where

• ( d ) is the diameter of the nozzle in inches (for a 1.5-inch nozzle, ( d = 1.5 )),

• ( P ) is the nozzle pressure in pounds per square inch (psi).

Plugging in the values:

1. Convert the diameter into a decimal: ( 1.5 ) inches.

2. Use the nozzle pressure provided: ( 50 ) psi.

3. The calculation becomes:

[ \text{NR} = 1.57 \times (1.5^2) \times 50 ]

[ \text{NR} = 1.57 \times 2.25 \times 50 ]

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