Question

30.Water flowing from a hose pipe fills a 15litre container in one minute.The speed of water from the free opening of radius 1cm is (in m/sec)

Answer 1

0.796m/s

Explanation:

let, speed of water = V m/s

pipe mouth area = π(1cm)²

= πcm² = π/10⁴m²

Now,

volume of piped water in one second

= area x V

= π/10⁴ m² x Vm = πV/10⁴ m³

then,

volume of piped water in one minute

= πV/10⁴ x 60 = 60πV/10⁴ m³

A/Q,

60πV/10⁴m³ = 15 liter

we know that, 1m³ = 1000L

then,

60x3.14xV/10⁴ m³ = 15/10³ m³

60x3.14xV = 150

3.14V = 2.5

V = 0.796 m/s.