Question

Water is moving at a speed of 2.1 m/s through a hose with an internal diameter of 1.5 cm. What is the flow rate of water through the hose?

1) 0.001 m³/s
2) 0.003 m³/s
3) 0.005 m³/s
4) 0.007 m³/s

Answer 1

The flow rate of water through the hose is approximately 0.00011 m³/s.

Step-by-step explanation:

The flow rate of water through a hose can be calculated using the formula:

Flow Rate = Cross-sectional area x Velocity

The cross-sectional area of the hose can be found using the formula for the area of a circle: πr², where r is the radius of the hose. Since the diameter is given, we can divide it by 2 to get the radius.

First, let's convert the diameter from cm to m:

Diameter = 1.5 cm = 0.015 m

Radius = Diameter / 2 = 0.015 m / 2 = 0.0075 m

Next, substitute the values into the formula:

Flow Rate = π(0.0075 m)² x 2.1 m/s = 0.00011027 m³/s

Therefore, the flow rate of water through the hose is approximately 0.00011 m³/s.