Question: When a thermal inversion layer is over a city (as happens in Los Angeles), pollutants cannot rise vertically but are trapped below the layer and

When a thermal inversion layer is over a city (as happens in Los Angeles), pollutants cannot rise vertically but are trapped below the layer and must disperse horizontally. Assume that a factory smokestack begins emitting a pollutant at 8 a.m. Assume that the pollutant disperses horizontally over a circular area. If t represents the time, in hours, since the factory began emitting pollutants (t = 0 represents 8 a.m.), assume that the radius of the circle of pollutants at time t is r(t) = 2t miles. Let A(r) = πr² represent the area of a circle of radius r.

(a) Find (A ° r)(t).

(b) Interpret (A ° r)(t).

Step by Step Solution

★★★★★

3.40 Rating (156 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a b It defines the area o... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related College Algebra Questions!

When new paperback novels are promoted at bookstores, a display is often arranged with copies of the same book with differently colored covers. A publishing house wanted to find out whether there is...

The Los Angeles Times (June 14, 1995) reported that the U.S. Postal Service is getting speedier, with higher overnight on-time delivery rates than in the past. Postal Service standards call for...

In Exercise D.32 we observe that within the random sample of 85 days the city of San Diego has rainy weather just over a quarter of the time. Amy is now curious as to whether there is a rainy season,...

When there is a thermal inversion layer over a city (as happens often in Los Angeles), pollutants cannot rise vertically but are trapped below the layer and must disperse horizontally. Assume that a...

1.What are the compositional layers of the earth? 2.What are their compositions? Where (at what depth) are their boundaries? 3. How do we know the answers to these questions? 4.What are the...

A vertical sounding of the atmosphere shows a vertically well mixed layer with constant ~ Sdry/Cp = 288 K, a depth of 500 m, and an inversion layer with a temperature jump AT = 5 K. The sensible heat...

Power plants near Fairbanks Alaska emit PM2.5 pollution into the surrounding air. Assume that one of these power plants is located 7 km directly downwind of the powerplant. Assume the equivalent...

4-14. Heat Transfer in a Packed Bed Reactor Suppose that a long, cylindrical reactor of radius R is packed with catalyst pellets. Gas flow through the packed bed supplies a component that reacts...

Numerical 4 . 4 Consider a stack with effective height 1 0 0 m , emitting S O 2 at the rate of 2 1 0 8 g s . Windspeed at 1 0 m is 5 . 5 m s , and at 1 0 0 m , it is 1 0 m s . It is a clear summer...

A fluid has a Prandtl number of 1 . 0 . Select the correct statement: Question 9 options: The thicknesses of the velocity and thermal boundary layers are approximately similar. The thickness of the...

Section 4: Financial Stmts for Earthshine, Inc. a) Given the CSV trial balance shown on the worksheet, use Text to Columns to break out the data in Column A into Columns C, D, and E of the Accounting...

Lompoc Corporation is authorized to issue 500,000 shares of $2 stated value common stock and 100,000 shares of $100 par value, 6 percent preferred stock. The following related stock transactions took...

Question 3 2 Which of the following is the largest long - term liability for Nike at 1 2 / 3 1 / 2 4 ? Operating Lease Liabilities Deferred Income Taxes Long Term Debt Accrued Liabilities

What do you think about the accuracy of various rating methods? Do you think ratings are a good guide for determining advertising rates? Why or why not?

In order to receive a B grade in a college course, it is necessary to have an overall average of 80% correct on two 1-hour exams of 75 points each and one final exam of 150 points. If a person scores...

Each foot of carpet purchased from a 12-foot-wide roll costs $36. If a fraction of a foot is purchased, a customer does not pay for the extra amount. For example, if a customer wants 14 feet of...

Use the intersection-of-graphs method to solve the equation. Then solve symbolically. 2(x - 1)2 = x

A major daily newspaper charges $ 4 0 0 ( paid in advance ) for an annual subscription, or $ 4 1 per month payable at the end of each month to the carrier. What is the effective interest rate being...

is 3.12 lbs. 2. An attitude survey of an ER shows 85% overall satisfaction with the care provided

At December 3 1 , 2 0 2 1 , Splish Company had a credit balance of $ 1 9 , 1 0 0 in Allowance for Doubtful Accounts. During 2 0 2 2 . Splish wrote off accounts totaling $ 1 1 , 1 0 0 . One of those...