Question

A 20 m high filled water tank develops a 0.50 cm hole in the vertical wall near the base. With what speed does the water shoot out of the hole? a) 30 m/s
b)15 m/s
c) 25m/s
d) 20 m/s

Answer 1

Answer:

The speed of the water shoot out of the hole is 20 m/s.

(d) is correct option.

Explanation:

Given that,

Height = 20 m

We need to calculate the velocity

Using formula Bernoulli equation

$\dfrac{1}{2}\rho v_{1}^2+\rho gh_{1}=\dfrac{1}{2}\rho v_{2}^2+\rho gh_{2}$

Where,

v₁= initial velocity

v₂=final velocity

h₁=total height

h₂=height of the hole from the base

Put the value into the formula

$v_{1}^2=2g(h_{2}-h_{1})$

$v_{1}=\sqrt{2g(h_{2}-h_{1})}$

$v_{1}=\sqrt{2\times9.8\times(20-0.005)}$

$v_{1}=19.7\ m/s= approximate\ 20\ m/s$

Hence, The speed of the water shoot out of the hole is 20 m/s.