Water travels through a tube as shown in the figure. The areas of cross section at $A$ and $B$ are $1 \text{ cm}^2$ and $0.5 \text{ cm}^2$ respectively. The height difference between $A$ and $B$ is $5 \text{ cm}$ . If the water's speed at $A$ is $10 \text{ cm s}^{-1}$ , determine the speed at $B$ .

Question

Water travels through a tube as shown in the figure. The areas of cross section at

A

and

B

are

1 \text{ cm}^2

and

0.5 \text{ cm}^2

respectively. The height difference between

A

and

B

is

5 \text{ cm}

. If the water's speed at

A

is

10 \text{ cm s}^{-1}

, determine the speed at

B

.

Quantrex Academy · Accepted Answer

Correct answer: B. 20 cm s^ -1

For the steady flow of an incompressible fluid, the equation of continuity is given by:

A_A v_A = A_B v_B

Given:

A_A = 1 \text{ cm}^2

v_A = 10 \text{ cm s}^{-1}

A_B = 0.5 \text{ cm}^2

Substituting the values into the equation:

1 \times 10 = 0.5 \times v_B

v_B = \dfrac{10}{0.5}

v_B = 20 \text{ cm s}^{-1}

Water travels through a tube as shown in the figure. The areas of...