Question

* if air is blown with a speed of 15 m/sec across the top of one side of a u-tube containing water, what will be the difference between the water levels on the two sides?

Answer 1

if air is blown with a speed of 15 m/sec across the top of one side of a u-tube containing water, the difference between the water levels on the two sides is 1.3 cm.

What is density?

The density is the ratio of the mass and volume of the particular object or liquid.

Applying the Bernoulli's equation across the ends of the tube A and B, we have

$P_{A} = P_{B} - \dfrac{1}{2} \rho Av^{2}$

Substituting ρ = 1.2 , v = 15 and $P_{B }=P_{0 }$

$P_{A}= P_{B} -135$

In the left limb, $P_{A}= P_{C}$

In the right limb, $P_{D}= P_{o} + \rho g h$

The pressure at C and D are same.

$P_{D}= P_{C}$

Substituting from the above equations , we have,

h = -1.3 cm

The height to the left limb is greater.

The difference between the water levels on the two sides is 1.3 cm.

Learn more about density.

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