Math  /  Algebra

QuestionThree fire hoses are connected to a fire hydrant. Each hose has a radius of 0.019 m . Water enters the hydrant through an underground pipe of radius 0.081 m . In this pipe the water has a speed of 3.5 m/s3.5 \mathrm{~m} / \mathrm{s}. (a) How many kilograms of water are poured onto a fire in one hour by all three hoses? (b) Find the water speed in each hose.

Studdy Solution
Calculate the total mass of water delivered by the hoses in one hour.
Since the mass flow rate is constant, the total mass M M delivered in one hour is: M=m˙t M = \dot{m} \cdot t
Where t=3600s t = 3600 \, \text{s} (one hour).
Solution: (a) The total mass of water delivered by all three hoses in one hour is M M . (b) The water speed in each hose is vhose v_{\text{hose}} .

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