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A fire hydrant delivers water of density...

A fire hydrant delivers water of density `rho` at a volume are `L`. The water travels vertically upward through the hydrant and then does `90^(@)` turn to emerge horizontally at speed `V`. The pipe and nozzle have uniform cross-section through out. The force exerted by the water on the corner of the hydrant is

A

`rhoVL`

B

zero

C

`2rhoVL`

D

`sqrt(2)rhoVL`

Text Solution

Verified by Experts

The correct Answer is:
D
Force exerted by water = rate of change of lineal moment
Force exerted by water `=sqrt(2)xxrhoAv^(2)`
Force exterted by water `=sqrt(2)rhoLv`
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