In: Physics
A nozzle with a radius of 0.16 cm is attached to a garden hose
with a radius of 0.88 cm that is pointed straight up. The flow rate
through hose and nozzle is 0.35 L/s.
Part (a) Calculate the maximum height to which
water could be squirted with the hose if it emerges from the nozzle
in m.
Part (b) Calculate the maximum height (in cm) to which water could be squirted with the hose if it emerges with the nozzle removed, assuming the same flow rate.
This problem can be solved by applying Bernoulli's equation. But before that, intuitively speaking, we can say that the maximum height in the first case where the water emerges from the nozzle, would be greater than the maximum height in the second case. This is because, the flow rate is the same but the area of the nozzle is smaller, implying that the velocity of the water would be more in this case, thus pumping it higher. With this in mind, please follow the following solution: