/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Problem 4 A 60 ft diameter circular clarif... [FREE SOLUTION] | 91Ó°ÊÓ

91Ó°ÊÓ

A 60 ft diameter circular clarifier has a weir overflow rate of 15 gpm/ft. What is the daily flow in MGD?

Short Answer

Expert verified
4.0674 MGD

Step by step solution

01

Calculate the Circumference of the Clarifier

To find the circumference of a circular clarifier with a diameter of 60 ft, use the formula for the circumference of a circle: \( C = \pi d \) where \( d \) is the diameter. Therefore, \( C = \pi \times 60 \approx 188.5 \text{ ft} \)
02

Determine the Total Flow Rate in gpm

Multiply the weir overflow rate by the circumference to find the total flow rate in gallons per minute (gpm): \( 15 \text{ gpm/ft} \times 188.5 \text{ ft} = 2827.5 \text{ gpm} \)
03

Convert the Flow Rate to MGD

Convert the total flow rate from gpm to million gallons per day (MGD). There are 1,440 minutes in a day, so: \( 2827.5 \text{ gpm} \times 1440 \text{ min/day} = 4067400 \text{ gallons/day} \)Then, convert gallons per day to million gallons per day:\( 4067400 \text{ gallons/day} \div 1000000 = 4.0674 \text{ MGD} \)

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!

Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Circular Clarifier Circumference
Understanding the circumference of a circular clarifier is essential for calculating flow rates. The circumference is the distance around the outer edge of the clarifier. For a circular object, we use the formula for the circumference of a circle, which is expressed as: \( C = \pi \times d \), where \( d \) represents the diameter.

In this exercise, the diameter (\

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Study anywhere. Anytime. Across all devices.