Question

In: Advanced Math

In very dry regions, the phenomenon called Virga is very important because it can endanger aeroplanes....

In very dry regions, the phenomenon called Virga is very important because it can
endanger aeroplanes. Virga is rain in air that is so dry that the raindrops evaporate before they can reach the ground.
Suppose that

the volume of a raindrop is proportional to the 3=2 power of its surface area; and
the rate of reduction of the volume of a raindrop is proportional to its surface
area.


(a) Are these suppositions reasonable? Note that raindrops are not spherical, but
let's assume that they always have the same shape, no matter what their size may
be.


(b) Find a formula for the amount of time it takes for a virga raindrop to evaporate
completely, expressed in terms of the constants you introduced and the initial
surface area of a raindrop. Check that the units of your formula are correct.


(c) Suppose somebody suggests that the rate of reduction of the volume of a raindrop
is proportional to the square of the surface area. Argue that this cannot be correct.

Solutions

Expert Solution



Related Solutions

In very dry regions, the phenomenon called Virga is very important because it can endanger aeroplanes....
In very dry regions, the phenomenon called Virga is very important because it can endanger aeroplanes. Virga is rain in air that is so dry that the raindrops evaporate before they can reach the ground. Suppose that the volume of a raindrop is proportional to the 3/2 power of its surface area; and the rate of reduction of the volume of a raindrop is proportional to its surface area. (a) Are these suppositions reasonable? Note that raindrops are not spherical,...
The role of data will be very important in the implementation of supply chain, because there...
The role of data will be very important in the implementation of supply chain, because there will be three parties: vendor / suppliers, company, and customers. Give one example of a case in the implementation of "global supply chain security" linked to those three parties.
The term grace period is very important to an insurance policy because A. it refers to...
The term grace period is very important to an insurance policy because A. it refers to living benefits that can be paid for a grace period prior to death in special circumstances. B. it refers to the period when benefits are still payable while premiums are in arrears. C. it refers to the period when a policy can no longer be contested by an insurance company. D. it refers to the period when the policy has lapsed and can be...
1. His introduction is a maximum of 500 words. The introduction is very important because it...
1. His introduction is a maximum of 500 words. The introduction is very important because it defines the context of the report. Provide a short introduction and background on the water supply system design. Presentation of water flow concepts in the piping system focusing on the energy equation (Bernoulli equation), head losses and momentum. Support all information with references. Submit goals at the end of the section. Writing 500 words
Over 2018 the cumulative inflation in Venezuela reached 80,000%. How is such phenomenon called? What can...
Over 2018 the cumulative inflation in Venezuela reached 80,000%. How is such phenomenon called? What can cause inflation to reach such value? Explain your answer using the quantity theory of money. Give examples.
Date accuracy is very important because dates are used for discounts, payment terms and many reports....
Date accuracy is very important because dates are used for discounts, payment terms and many reports. True True False
Economies of scale are important because they mean that as firms increase in size, they can...
Economies of scale are important because they mean that as firms increase in size, they can become more efficient. What is meant by product differentiation and intra-industry trade? Consider the intra-industry trade model under the assumptions of monopolistic competition. (See the class notes) a. Draw two graphs showing long-run equilibrium of a firm under autarky, and the long-     run equilibrium of a firm with trade. b. How do the countries gain from the intra-industry trade?
Argue both sides to this case Bill runs a dry cleaning store called Bill’s Dry Cleaning....
Argue both sides to this case Bill runs a dry cleaning store called Bill’s Dry Cleaning. He is in deep financial trouble. His bank will no longer give him any credit and is threatening to demand immediate repayment of all money it has loaned to his business. Bill also owes money to other creditors and vendors. Bill is desperate, so he approaches Christine, a very rich lady, and asks her to refinance his business. Christine reviews the business and its...
Because of the small size of the company and the limited number of accounting personnel, Dry...
Because of the small size of the company and the limited number of accounting personnel, Dry Goods Wholesale Company Ltd. initially records all acquisitions of goods and services at the time that cash disbursements are made. At the end of each quarter when financial statements for internal purposes are prepared, accounts payable are recorded by adjusting journal entries. The entries are reversed at the beginning of the subsequent period. Except for the lack of a purchasing system, the controls over...
Cranberries can be harvested using either a "wet" method or a "dry" method. Dry-harvested cranberries can...
Cranberries can be harvested using either a "wet" method or a "dry" method. Dry-harvested cranberries can be sold at a premium, while wet-harvested cranberries are used mainly for cranberry juice and bring in less revenue. Fresh Made Cranberry Cooperative must decide how much of its cranberry crop should be harvested wet and how much should be dry harvested. Fresh Made has 5,000 barrels of cranberries that can be harvested using either the wet or dry method. Dry cranberries are sold...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT