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A fire engine can throw 400 gallons of w...

A fire engine can throw 400 gallons of water per minute to a height of 40 m. What H.P. does this represent? (1 gallon of water weights 4.536 kg).

Text Solution

Verified by Experts

Mass of 400 gallons = `400xx4.536=1.814xx10^(3)kg`
`t=60s,h=40m`
Power = `("Potential energy")/("time")=(mgh)/(t)`
`=(1.814xx10^(3)xx9.8xx40)/(60)=1.2096xx10^(3)W,1H.P=0.7466xx10^(3)W`
i.e. `P=(1.2096xx10^(3))/(0.7466xx10^(3))=1.62HP`
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