Question

An initially empty tank is filled with water. The pump used is a displacement pump that provides a flow of Q=0.5*(1+sin(t/30)) m3/min, where t is in seconds. Calculate the volume in the tank after 1hr

Answer 1

At t = 0,

Q = 0.5 m³/min = (0.5/60) m³/s

.:

where t is in sec.

Final volume in the tank,

dV = Qdt

When t = 0 ; V = 0

When V = final volume V ; t = t = 1 hour = 60 min = 3600 sec

.....while calculating, the keep the angle in radians.