The motor of your "dune buggy" is fueled by a gas line with a radius of 3.40 x 10 m and the fuel pump is rated at 7.05 x 10° kg/s. If the density of the gas you are using is 730 kg/m³, determine the speed at which gas travels through the fuel line. m/s
Fluid Pressure
The term fluid pressure is coined as, the measurement of the force per unit area of a given surface of a closed container. It is a branch of physics that helps to study the properties of fluid under various conditions of force.
Gauge Pressure
Pressure is the physical force acting per unit area on a body; the applied force is perpendicular to the surface of the object per unit area. The air around us at sea level exerts a pressure (atmospheric pressure) of about 14.7 psi but this doesn’t seem to bother anyone as the bodily fluids are constantly pushing outwards with the same force but if one swims down into the ocean a few feet below the surface one can notice the difference, there is increased pressure on the eardrum, this is due to an increase in hydrostatic pressure.
![**Problem:** The motor of your "dune buggy" is fueled by a gas line with a radius of \(3.40 \times 10^{-3}\) m and the fuel pump is rated at \(7.05 \times 10^{-2}\) kg/s. If the density of the gas you are using is 730 kg/m\(^3\), determine the speed at which gas travels through the fuel line.
**Solution:**
- Given:
- Radius of the gas line: \(3.40 \times 10^{-3}\) m
- Fuel pump rate: \(7.05 \times 10^{-2}\) kg/s
- Density of the gas: 730 kg/m\(^3\)
\[ \text{Speed of gas } = \_\_\_\_ \, \text{m/s} \]
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