A natural gas pipeline with a diameter 0.250 m delivers 1.55 cubic meters of gas per second. What is the flow speed of the gas in the pipeline?

The flow speed of the gas in the pipeline is 31.57 m/s.

Explanation:

Given;

diameter of the pipeline, d = 0.25 m

radius of the pipeline, r = d/2 = 0.125 m

volumetric flow rate of the gas, Q = 1.55 m³/s

The cross sectional area of the pipeline is given as;

A = πr²

A = π(0.125²)

A = 0.0491 m²

Volumetric flow rate is given by;

Q = Av

Where;

v is the speed of the fluid in the pipeline

v = Q / A

Therefore, the flow speed of the gas in the pipeline is 31.57 m/s.

causes

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human population grows worldwide

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

                                              ⇒      

here   k is the proportionality constant whose value is 1.

                                                            [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.