Water leaks out from an open tank through a hole of area 2 mm^2 in the

1.	Water leaks out from an open tank through a hole of area 2 mm^2 in the bottom. Suppose water is filled upto a height of 80 cm and the area of the cross section of the tank is 0.4 m^2. The pressure at the open surface and at hole are equal to atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a) Find the volume of water leaked out during a time interval dt after the height of water remained is h. Also find the decrease in height dh in terms of h and dt. b) From the result of previous question find the time required for half of the water to leak out.
Answer» Water leaks out from an open tank through a hole of area 2 mm^2 in the bottom. Suppose water is filled upto a height of 80 cm and the area of the cross section of the tank is 0.4 m^2. The pressure at the open surface and at hole are equal to atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a) Find the volume of water leaked out during a time interval dt after the height of water remained is h. Also find the decrease in height dh in terms of h and dt. b) From the result of previous question find the time required for half of the water to leak out.

Water leaks out from an open tank through a hole of area 2 mm^2 in the bottom. Suppose water is filled upto a height of 80 cm and the area of the cross section of the tank is 0.4 m^2. The pressure at the open surface and at hole are equal to atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a) Find the volume of water leaked out during a time interval dt after the height of water remained is h. Also find the decrease in height dh in terms of h and dt. b) From the result of previous question find the time required for half of the water to leak out.

Answer»

Water leaks out from an open tank through a hole of area 2 mm^2 in the bottom. Suppose water is filled upto a height of 80 cm and the area of the cross section of the tank is 0.4 m^2. The pressure at the open surface and at hole are equal to atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank.

a) Find the volume of water leaked out during a time interval dt after the height of water remained is h. Also find the decrease in height dh in terms of h and dt.

b) From the result of previous question find the time required for half of the water to leak out.

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