Answer :
Final answer:
The question pertains to the determination of gauge pressure at the entrance of a 50.0-m vertical pipe used to launch oil upwards, considering factors such as oil density, viscosity, and the oil column's contribution to pressure.
Explanation:
The question relates to calculating the gauge pressure at the entrance of a 50.0-m-long vertical pipe through which crude oil is being shot upwards to a height of 25.0 m. The oil has a density of 900 kg/m³ and a viscosity of 1.00 Pa s. The presence of a 50.0-m column of oil in the pipe contributes to the pressure exerted at the base of the pipe, and this factor must be taken into account when calculating the pressure. The flow is assumed to be laminar, and the diameter of the pipe is 0.100 m. The problem involves the principles of fluid mechanics and requires the application of Bernoulli's equation, along with equations for pipe flow and viscosity, to find the correct gauge pressure.
