Question

Three fire hoses are connected to a fire hydrant. Each hose has a radius of 0.023m. Water enters the hydrant through an underground pipe of radius 0.095m. In this pipe, the water has a speed of 2.7m/s. Find the water speed in each hose.

Answer 1

To find the water speed in each hose, we divide the flow rate of the water entering the hydrant by the number of hoses. Using the given information, the water speed in each hose is approximately 0.026 m/s.

Step-by-step explanation:

To find the water speed in each hose, we can use the principle of conservation of mass. According to this principle, the water flow rate entering the fire hydrant is equal to the sum of the flow rates in each hose. The flow rate can be calculated using the formula:

Flow rate = (pi * radius^2 * velocity)

Using the given radius of 0.023m for each hose and the velocity of 2.7m/s for the water entering the hydrant, we can calculate the flow rate. Since there are three hoses, we divide the flow rate by 3 to find the water speed in each hose.

So, the water speed in each hose is approximately 0.026 m/s.