Posted by **chamy** on Sunday, April 8, 2012 at 12:19pm.

An open hemispherical bowl of radius R is slowly

draining through a small hole of radius r in the bottom

of the bowl. Let g be the acceleration due to gravity

and y be the depth of the water (which means the distance

from the water surface to the hole). Torricelli’s

Law states that the speed of the droplets leaving the hole is

√2gy . (This is actually the

speed that the droplets would acquire by falling from the water surface to the hole.)

(a) What is the meaning of the expression πr2√2gy ?

(b) In terms of y, what is the area of the water surface when the water is y cm deep?

(c) Assume that the bowl is initially full. How much time will be needed to drain it?

## Answer this Question

## Related Questions

- Physics - a small rock with mass 0.20 kg is released from rest at point A which ...
- Physics - A hemispherical bowl of radius R is rotated about its axis of symmetry...
- physics - A small coin is inside a bowl. The bowl is a surface of revolution of ...
- Physics - A small coin is inside a bowl. The bowl is a surface of revolution of ...
- PHYSICS - A 2.5 g ice flake is released from the edge of a hemispherical bowl ...
- Calculus - Consider a hemispherical bowl of radius 10cm. (4 points) If the water...
- Physics - A small block of mass m = 194 g is released from rest at point A , ...
- physics - A 224 g particle is released from rest at point A along the diameter ...
- Physics - A ball, of mass 0.15 Kg, is held on the inside of a smooth ...
- Physics - A ball, of mass 0.3Kg, is held on the inside of a smooth hemispherical...