Question

Q1 The following differential equation describes a water tank system \frac{d}{dt}h(t) + \frac{1}{AR}h(t) = \frac{1}{A}q(t) where h(t) is the variable describing the water level, A is the tank area R is the output restriction coefficient q(t) is the input flow (a) Use Laplace transform and write the differential equation in Laplace form. (2 marks) (b) Derive the transfer function describing the output over input (2 marks) (c) Draw the block diagram of the system (2 marks) (d) Assuming a constant input q(t) = constant = Q, derive the output in Laplace form. (3 marks) (e) Find and sketch the time response of the output h(t), from (d) (6 marks)

          Q1 The following differential equation describes a water tank system
\frac{d}{dt}h(t) + \frac{1}{AR}h(t) = \frac{1}{A}q(t)
where
h(t) is the variable describing the water level,
A is the tank area
R is the output restriction coefficient
q(t) is the input flow
(a) Use Laplace transform and write the differential equation in Laplace form.
(2 marks)
(b) Derive the transfer function describing the output over input
(2 marks)
(c) Draw the block diagram of the system
(2 marks)
(d) Assuming a constant input q(t) = constant = Q, derive the output in Laplace form.
(3 marks)
(e) Find and sketch the time response of the output h(t), from (d)
(6 marks)

Q1 The following differential equation describes a water tank system
(d)/(dt)h(t) + (1)/(AR)h(t) = (1)/(A)q(t)
where
h(t) is the variable describing the water level,
A is the tank area
R is the output restriction coefficient
q(t) is the input flow
(a) Use Laplace transform and write the differential equation in Laplace form.
(2 marks)
(b) Derive the transfer function describing the output over input
(2 marks)
(c) Draw the block diagram of the system
(2 marks)
(d) Assuming a constant input q(t) = constant = Q, derive the output in Laplace form.
(3 marks)
(e) Find and sketch the time response of the output h(t), from (d)
(6 marks)

Added by Thomas G.

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