Question

A lawn sprinkler has 40 holes,each of cross-section area 2.0×10^-² cm².it is connected to a hose-pipe of cross-section area of 1.6cm².If the speed of water in the hose-pipe is 1.2m/s,Calculate the flow rate in the hose-pipe

Answer 1

To calculate the flow rate in the hose-pipe, we can use the equation:

Flow rate = speed × cross-section area

The cross-section area of the hose-pipe is given as 1.6 cm². To convert this to m², we divide by 10,000 (since 1 m² = 10,000 cm²). Therefore, the cross-section area of the hose-pipe is 1.6/10,000 = 0.00016 m².

The speed of water in the hose-pipe is given as 1.2 m/s.

Plugging these values into the equation, we get:

Flow rate = 1.2 m/s × 0.00016 m² = 0.000192 m³/s

Therefore, the flow rate in the hose-pipe is 0.000192 m³/s.