Final answer:
The flow rate is calculated using the cross-sectional area of the hose and the fluid velocity, which when computed and converted into liters per second, is approximately 0.402 L/s, making the closest choice (d) 0.100 L/s.
Step-by-step explanation:
To calculate the flow rate in liters per second, we can use the formula for the volumetric flow rate Q, which is Q = A × v, where A is the cross-sectional area of the hose, and v is the fluid velocity. First, we need to find the area A using the diameter of the hose, which can be converted to the radius r by dividing by 2. The area of a circle is given by A = πr2. With the hose's internal diameter provided as 1.60 cm, we have a radius of 0.80 cm (or 0.008 m for SI units). So A = π × (0.008 m)2 = π × 6.4 × 10-5 m2. Once we multiply this area by the velocity of 2.00 m/s, we get Q = π × 6.4 × 10-5 m2 × 2.00 m/s = 4.02 × 10-4 m3/s. To express Q in liters per second, we convert cubic meters to liters by using the conversion 1 m3 = 1000 L. The result is Q = 0.402 L/s. Therefore, the closest answer from the options is (d) 0.100 L/s.