Question

 A water hose of cross sectional area 4 cm2  is used to fill a 30 lit  vessel. If it takes 1 min  to fill that vessel, the speed at which water leaves the hose is:​

Answer 1

Answer:

Explanatiotn:

1L =1000m^3=10^9 cm^3

Answer 2

The speed of water is 1.25 m/s.

Explanation:

Given that,

Cross section area = 4 cm²

Time = 1 min

Volume = 30 lit

We need to calculate the flow rate

Using formula of flow rate

$Q=\dfrac{V}{t}$

Where, V = volume

t = time

Put the value into the formula

$Q=\dfrac{30\times10^{-3}}{60}$

$Q=0.0005\ m^3/s$

We need to calculate the speed of water

Using formula of speed

$v=\dfrac{Q}{A}$

Where, Q = flow rate

A = area of cross section

Put the value into the formula

$v=\dfrac{0.0005}{4\times10^{-4}}$

$v=1.25\ m/s$

Hence, The speed of water is 1.25 m/s.

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