Water flows through a horizontal tube of variable cross section as shown in the figure. The cross-sectional areas at $A$ and $B$ are $4 \text{ mm}^2$ and $2 \text{ mm}^2$ respectively. If $1 \text{ cc}$ of water enters the tube per second through $A$ , determine the speed of the water at $A$ .

Question

Water flows through a horizontal tube of variable cross section as shown in the figure. The cross-sectional areas at

A

and

B

are

4 \text{ mm}^2

and

2 \text{ mm}^2

respectively. If

1 \text{ cc}

of water enters the tube per second through

A

, determine the speed of the water at

A

.

Water flows through a horizontal tube of variable cross section as shown in the figure. The cross-sectional areas at A

Quantrex Academy · Accepted Answer

Correct answer: D. 25 cm/s

Given the volume flow rate Q = 1 cc/s = 1 cm^3/s . The cross-sectional area at A is A_A = 4 mm^2 . Converting the area into cm^2 : A_A = 4 × 10^ -2 cm^2 From the equation of continuity, the volume flow rate is given by: Q = A_A v_A Substituting the given values to find the speed of water at A ( v_A ): v_A = (Q)/(A_A) = 1 4 × 10^ -2 = (100)/(4) = 25 cm/s

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