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

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

(d) is correct option.

Step-by-step explanation:

Given that,

Height = 20 m

We need to calculate the velocity

Using formula Bernoulli equation

`(1)/(2)\rho v_(1)^2+\rho gh_(1)=(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)=√(2*9.8*(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.