Answer:

Explanation:
The pump is modelled after applying Principle of Energy Conservation, whose form is:

The head associated with the pump is cleared:

Inlet and outlet velocities are found:




Now, the head associated with the pump is finally computed:


The power that pump adds to the fluid is:



Answer:
The system can be described by a convolution
Explanation:
Thinking process:
If we consider a discrete input to a linear time-invariant system, then the system will be periodic with respect to the period, say N. This therefore, means that the output must also be periodic. The proof is as follows:
The LTI system can be written for the system where:
y (n+N) = ∑
= ∑
From the proof, it turns out that y(y + N) = y(n) for any value of n, then the output will be the periodic with the period N.
Answer:

Explanation:
By an adequate application of the Principle of Energy Conservation, the escalator need energy to elevate from to the bottom to the top. Hence:

An expression for power needed is found by deriving the equation with respect to time:

The minimum power is found by substituting known inputs:


Answer:
The first step of the problem solving process is to identify and define the problem. The second step, which is to analyze the problem, involves gathering information, sorting through relevant and irrelevant information, and evaluating the source of the problem by asking the Five W's: who, what, where, when, and why.