Water flows through a horiztonal pipe at a rate of 94 ft3/min. a pressure gauge placed on a 3.3 inch diameter section of the pipe reads 15 psi.

what is the gauge pressure in a section of pipe where the diameter is 5.2 inches?

The gauge pressure is 1511.11 psi.

Explanation:

Given that,

Flow rate = 94 ft³/min

Diameter d₁=3.3 inch

Diameter d₂ = 5.2 inch

Pressure P₁= 15 psi

We need to calculate the pressure on other side

Using Bernoulli equation

We know that,

Where, V = volume

v = velocity

A = area

Put the value of v into the formula

Put the value into the formula

We need to calculate the gauge pressure

Using formula of gauge pressure

Put the value into the formula

Hence, The gauge pressure is 1511.11 psi.

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the bal will not change its velocity.