Water enters a pipe of diameter 4.4 cm with a velocity of 2.7 m/s. The water enc

Question

Water enters a pipe of diameter 4.4 cm with a velocity of 2.7 m/s. The water encounters a constriction where its velocity is 16 m/s. What is the diameter of the constricted portion of the pipe?

Question options:

1.2 cm

1.4 cm

1.6 cm

1.8 cm

2.0 cm

Elaine went to her outside faucet to fill a 0.0198 m3 bucket with water to wash her car. Water exits with a speed of 0.54 m/s. The radius of the faucet is 0.0087 m. How long does it take to fill the bucket completely?

Question options:

155 s

162 s

168 s

175 s

192 s

A large tank is filled with water to a depth of 15 m. A spout located 10.0 m above the bottom of the tank is then opened as shown in the drawing. With what speed will water emerge from the spout?

Question options:

31 m/s

17 m/s

14 m/s

9.9 m/s

3.1 m/s

The density of the liquid flowing through the horizontal pipe in the drawing is 1,100 kg/m3. The speed of the fluid at point A is 6.5 m/s while at point B it is 12 m/s. What is the difference in pressure, PA PB, between points A and B?

Question options:

5.6 104 Pa

3.9 104 Pa

5.6 103 Pa

+5.6 103 Pa

+5.6 104 Pa

A)

1.2 cm

B)

1.4 cm

C)

1.6 cm

D)

1.8 cm

E)

2.0 cm

Water enters a pipe of diameter 4.4 cm with a velocity of 2.7 m/s. The water encounters a constriction where its velocity is 16 m/s. What is the diameter of the constricted portion of the pipe? Question options: Elaine went to her outside faucet to fill a 0.0198 m3 bucket with water to wash her car. Water exits with a speed of 0.54 m/s. The radius of the faucet is 0.0087 m. How long does it take to fill the bucket completely? Question options: A large tank is filled with water to a depth of 15 m. A spout located 10.0 m above the bottom of the tank is then opened as shown in the drawing. With what speed will water emerge from the spout? Question options: The density of the liquid flowing through the horizontal pipe in the drawing is 1,100 kg/m3. The speed of the fluid at point A is 6.5 m/s while at point B it is 12 m/s. What is the difference in pressure, PA PB, between points A and B? Question options:

Explanation / Answer

1) answer is

1.8 cm

A1*V1 = A2*V2

PI*(2.2*10^-2)*2.7 = 16*PI*r^2

r = 0.9 cm

d =1.8 cm

2) answer is

155 s

A = ?r2 = ? X 0.00872 = 2.3779 x 10-4 m2

speed = 0.54 m

volume filled in time t

0.54 x 2.3779 x 10-4 x t   = 0.0198

t = 154.12 s = 155 s

3) answer is

9.9 m/s

h2 = 10m
h1 = 15 m

V2 = 2g (h1 -h2)

V = 9.89 m/sec = 9.9 m/s

4) answer is

+5.6

D)

1.8 cm

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