Question

A storage tank contains a liquid at depth y where y=0 when the tank is half full. liquid is withdrawn at a constant flow rate q to meet demands. the contents are resupplied at a sinusoidal rate 3qsin2(t). the equation can be written for this system as the

Answer 1

Answer:

y(t) = $\frac{3Q}{2A} ( t - 1/2 sin2t ) - \frac{Q}{A} t + C$

Explanation:

Given data :

storage tank contains a liquid at depth ; Y

when tank is half full ;  y = 0

flow rate = q

sinusoidal rate = 3Q $sin^{2} (t)$

Determine how the equation can be written for this system

solution is attached below

note ; from the question it can be seen that the surface area ( A )  is constant