Question

1. Water flows from a hose-pipe of internal diameter 1 cm at a rate
of 5 litres per minute. At what speed is the water flowing through
the pipe?​

Answer 1

Answer: 106$\frac{2}{33}$ cm/s or 106.0606 cm/s

Explanation:

radius of hose pipe = d/2 = 1/2 cm

Area of hose opening = π(1/2)^2 = 22/(7×2×2) = 11/14 cm²

5 litres = 5000 ml = 5000 cm³

11/14 cm² × speed of water = 5000 cm³/min

Speed of water = 5000×14/11 cm/min = (5000×14)/(11×60) cm/s

= 106$\frac{2}{33}$ cm/s = 106.0606 cm/s