Fluid MechanicsHard

Question

A cylindrical tank of height 0.4 m is open at the top and has a diameter 0.16 m. Water is filled in it up to a height of 0.16 m. How long it will take to empty the tank through a hole of radius 5 × 10-3 m in its bottom ?

Options

A.46.26 sec.   
B.4.6 sec.
C.462.6 sec
D.0.46 sec.

Solution



A1 v1 = A2v2
πR2 dh/dt = πr2 v     ....(i)
v =         ....(ii)
from equation (ii) put the value of v in equation (i)
πR2 dh/dt = πr2
⇒   
      
on solving
t = 46.26 second

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