A forceful hydrant

Classical Mechanics Level 5

Above we see the flow from a rather pathetic fire hydrant. When a hydrant is at full flow, it must be able to withstand large forces put upon it by the extreme right angle the water must make just before exiting. Suppose that at maximum performance, water flows from the hydrant at \(v=30\) m/s, and that the radius of the hole in the hydrant is \(r=0.2\) m.

Find the force (in Newtons) experienced by the hydrant during maximum flow.

Assumptions and Details

  • The water makes a shift of \(\theta = 90^\circ\) as it exits the hydrant.

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