A U-tube open at both ends is partially filled with water (Figure (a)). Oil (p= Shiele UUU Oil b Water Po a С (a) Determine the difference h in the heights of the two liquid surface cm (b) The right arm is then shielded from any air motion while air is blow left arm. Assume the density of air is 1.29 kg/m³. m/s

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Chapter1: Units, Trigonometry. And Vectors
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A U-tube open at both ends is partially filled with water (Figure (a)). Oil (ρ = 750 kg/m³) is then poured into the right arm and forms a column, L = 5.20 cm high (Figure (b)).

(a) Determine the difference in the heights of the two liquid surfaces. (The density of water is 1.00 × 10³ kg/m³.)

(b) The right arm is then sealed off from the atmosphere while air is blown across the top of the left arm until the surfaces of the two liquids are at the same height (Figure (c)). Determine the speed of the air being blown across the top of the left arm. Assume the density of air is 1.29 kg/m³.

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**Explanation of Diagrams:**

- **Figure (a):** Shows a U-tube partially filled with water. Both arms are open to the atmosphere.
  
- **Figure (b):** Oil is added to the right arm, creating a column of height 5.20 cm. The oil is less dense than water (ρ = 750 kg/m³), causing a height difference between the two arms.

- **Figure (c):** The right arm is sealed, and air is blown across the top of the left arm, equalizing the liquid levels in both arms. This demonstrates the effect of air speed on pressure differences.
Transcribed Image Text:A U-tube open at both ends is partially filled with water (Figure (a)). Oil (ρ = 750 kg/m³) is then poured into the right arm and forms a column, L = 5.20 cm high (Figure (b)). (a) Determine the difference in the heights of the two liquid surfaces. (The density of water is 1.00 × 10³ kg/m³.) (b) The right arm is then sealed off from the atmosphere while air is blown across the top of the left arm until the surfaces of the two liquids are at the same height (Figure (c)). Determine the speed of the air being blown across the top of the left arm. Assume the density of air is 1.29 kg/m³. --- **Explanation of Diagrams:** - **Figure (a):** Shows a U-tube partially filled with water. Both arms are open to the atmosphere. - **Figure (b):** Oil is added to the right arm, creating a column of height 5.20 cm. The oil is less dense than water (ρ = 750 kg/m³), causing a height difference between the two arms. - **Figure (c):** The right arm is sealed, and air is blown across the top of the left arm, equalizing the liquid levels in both arms. This demonstrates the effect of air speed on pressure differences.
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