1) Water leaves the end of a faucet that is .35 m above the bottom of the sink, with a speed of 1.25 m/s. The radius of the stream of water is 1 cm, when it leaves the faucet. As the water falls down toward the sink, the diameter of the stream deceases, as shown. Vb Vb == Ytop= .35 m m/s Ib = Ybot = 0 m a) Using the continuity equation, find the speed of the water at the bottom, in terms of the radius of the stream at the bottom, r. This will be in terms of the variable Tb- Vtop= 1.25 m/s cm Itop b) Now use Bernoulli's equation to find the speed of the water when it hits the bottom of the sink. When the water leaves the end of the faucet, the pressure is atmospheric pressure, the same as it will be when it hits the bottom of the sink. You will get a number for this. <= 1 cm For this problem, keep the radius units in cm but keep ytop in m, Vtop in m/s c) Using the speed you just calculated and your answer to part a, find the radius of the stream at the bottom, r. when it hits the sink.

1) Water leaves the end of a faucet that is .35 m above the bottom of the sink, with a speed of 1.25 m/s. The radius of the stream of water is 1 cm, when it leaves the faucet. As the water falls down toward the sink, the diameter of the stream deceases, as shown. Vb Vb == Ytop= .35 m m/s Ib = Ybot = 0 m a) Using the continuity equation, find the speed of the water at the bottom, in terms of the radius of the stream at the bottom, r. This will be in terms of the variable Tb- Vtop= 1.25 m/s cm Itop b) Now use Bernoulli's equation to find the speed of the water when it hits the bottom of the sink. When the water leaves the end of the faucet, the pressure is atmospheric pressure, the same as it will be when it hits the bottom of the sink. You will get a number for this. <= 1 cm For this problem, keep the radius units in cm but keep ytop in m, Vtop in m/s c) Using the speed you just calculated and your answer to part a, find the radius of the stream at the bottom, r. when it hits the sink.