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Chapter 10: Problem 43

A round concrete storm sewer pipe used to carry rainfall runoff from a parking lot is designed to be half full when the rainfall rate is a steady 1 in. $/ \mathrm{hr}$. Will this pipe be able to handle the flow from a 2 -in./hr rainfall without water backing up into the parking lot? Support your answer with appropriate calculations.

Short Answer

Expert verified
Yes, the pipe will be able to handle the flow from a 2 inch/hr rainfall without water backing up into the parking lot because its full capacity can handle same amount of rainfall rate.

Step by step solution

01

Understand the given information

The concrete sewer pipe is designed to carry out rainfall runoff with its half capacity at a steady 1 inch/hr rainfall rate. It means that the pipe's capacity is available to cope with a rainfall at a rate of 2 inch/hr.
02

Calculate the rate that the pipe can handle

The pipe is designed to be half full at a steady rainfall rate of 1 inch/hr, meaning the full capacity of the pipe can handle rainfall at the rate of 1 inch/hr * 2 = 2 inch/hr.
03

Compare with the present rainfall rate

The current precipation rate is 2 inch/hr. Comparing it with the pipe's full capacity rate, they match exactly. Therefore, the pipe can handle the present rainfall rate without any overflow.

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