Question

At two points on a horizontal tube of varying cross section carrying water, the radii are 1cm and 0.4cm. The pressure difference between these points is 4.9cm of water. How much liquid flows through the tube per second

Answer 1

11.23 cm³/sec of the liquid flows through the tube per second.

Given-

• Radius of two points are 1 cm and 0.4 cm
• The pressure difference between these points = 4.9 cm
• Value of g = 980 cm/sec²

From the Bernoulli's theorem

Let the velocity be v and v'

So,

Av = A'v'

From the given data

v = 0.16 v'

-v² + v'² = 4.9 g

4.9 g = 0.9744 v'²

v' = 70.2 cm/sec

Rate of flow = 0.16 × 70.2 = 11.23 cm³/sec