A firefighter directs a horizontal stream of water toward a fire at an angle of

Question

A firefighter directs a horizontal stream of water toward a fire at an angle of 40° measured from the horizontal. The fire hydrant and hose deliver 85 gallons per minute

and the nozzle projects the water with a speed of 6.7 m/s. How much horizontal force must the firefighter exert on the hose to keep it stationary?

A firefighter directs a horizontal stream of water toward a fire at an angle of 40A^ degree measured from the horizontal. The fire hydrant and hose deliver 85 gallons per minute (1 gal/min = 6.31 times 10a^ 5 m3/s), and the nozzle projects the water with a speed of 6.7 m/s. How much horizontal force must the firefighter exert on the hose to keep it stationary?

Explanation / Answer

force = rate of change in momentum

= mass flow rate * velocity

mass flow rate = 1000*85*6.31*10^-5 kg/s

= 5.3635 kg/s

force = 6.7*cos40 *5.3635

= 27.53 N

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