Lawn Sprinkler A lawn sprinkler is constructed in such a way that is constant, where ranges between and1 (see figure). The distance die water travels horizontally is
where v is the speed of the water. Find and explain why this lawn sprinkler does not water evenly. What part of the lawn receives the most water?
To calculate: The value of and explain why the lawn sprinkler does not spread water
evenly and what part of lawn receives the most water.
The distance water travels horizontally,
Refer to figure in question.
For maximum amount of water received: should be largest.
Consider the equation,
Differentiate the above equation with respect to , to get,
Lawn sprinkler does not spread the water evenly because the ratio of change of speed is not constant.
If is constant then then water will be distributed uniformly over the arc
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