Question

A nearsighted sheriff fires at a cattle rustler with his trusty six-shooter. Fortunately for the rustler, the bullet misses him and penetrates the town water tank, causing a leak (see following figure). (a) If the top of the tank is open to the atmosphere, determine the speed at which the water leaves the hole when the water level is 0.500 m above the hole. 4) Zero level for gravitational potential energy Po

Answer 1

Solution: We ean use Bernoulli's equation to find the velocity. Let's choose the first point to be the top of the tank and the second point will be the hole. The pressure at both of these points is just Po, the standard atmospheric presstare. We assune that the water level drops very slowly, so the velocity of the fluid at the top of the tank is zeo, Putting these into Beroullis equation V/2(9.8 m/s)(0.500 in) 3.13 m/s u