Question

Ruben put an empty cup underneath a leaking faucet. After hours, Ruben had collected cup of water. What is the 2 rate, in cups per hour, at which the water is leaking from the faucet?

Answer 1

The flow rate of water from a leaking faucet can be calculated using the formula: Flow rate = Cross-sectional area x velocity. In this case, the rate at which the water is leaking from the faucet is 1.27 cm³/s.

Step-by-step explanation:

The flow rate of water from a leaking faucet can be calculated using the formula:

Flow rate = Cross-sectional area x velocity

In this case, the diameter of the faucet is given as 1.80 cm, so the cross-sectional area can be calculated as:

(π x r^2) = (π x (d/2)^2) = (3.14 x (1.80/2)^2) = 2.54 cm²

The velocity of the water is given as 0.500 m/s. Therefore, the flow rate can be calculated as:

Flow rate = 2.54 cm² x 0.500 m/s = 1.27 cm³/s

So, the rate at which the water is leaking from the faucet is 1.27 cm³/s.