5. A water supply line into a building has a radius of 3.00 cm. On the 2nd floor

Question

5. A water supply line into a building has a radius of 3.00 cm. On the 2nd floor 5.00 meters above the water supply line, is a faucet with a 1.00 cm radius outlet, water exits the tap with a speed of 5.00 × 10 i m's and 1.00 atm internal pressure. a. What is the speed of the water in the supply line? (3 points) 2 , b. What is the pressure of the water in the supply line? (4 points) How long would it take to fill a 25.0 L container held under the faucet? (3 points) c. 159J SY 1O' Nowtons/meter is suspended vertically from a hook. A mass of 2.

Explanation / Answer

As you made some parts we will focus in part c

This is an exercise of fluid mechanics and correctly using the expression for this flow

v A = cte

Product units of speed by area is m³/s

We calculate the FLOW

A = r2

A = 0.012

A = 3.14 10-4 m²

v A = 5 10-1 3.14 10-4

vA = 1.5708 10-4m³/s

We reduce the volume to m³

1 m³ = 1000 liter

V = 25.0 L (1 m³/1000 L) = 25 10-3m³

We use a ratio of proportions

1.5708 10-4m³ ------- 1 s

25 10-3   m³ ------- t

t = 25 10-31 /1.5708 10-4

t = 159.15 s

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