A circular disk of radius r is used in an evaporator and is rotated in a vertical
Question:
A circular disk of radius r is used in an evaporator and is rotated in a vertical plane. If it is to be partially submerged in the liquid so as to maximize the exposed wetted area of the disk, show that the center of the disk should be positioned at a height r/√1 + π2 above the surface of the liquid.
Step by Step Answer:
Let x be the distance between the center of the disk ...View the full answer
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mathematics questions
-
A circular disk of radius is used in an evaporator and is rotated in a vertical plane. If it is to be partially submerged in the liquid so as to maximize the exposed wetted area of the disk, show...
-
A humidifier uses a rotating disk of radius r, which is partially submerged in water. The most evaporation occurs when the exposed wetted region (shown as the upper shaded region in Figure 26) is...
-
If a sphere of radius is sliced by a plane whose distance from the center of the sphere is d, then the sphere is divided into two pieces called segments of one base. The corresponding surfaces are...
-
Write a program, in Java, to convert from binary to decimal andfrom from binary to hexadecimal. Please use instance variables,preferably strings. The program must do the conversion withoutusing any...
-
What are Barry's ethical obligations in this case? Include in your discussion the issues of concern from an audit perspective and why they should be of concern to Barry in deciding what to do?
-
List and describe the main steps to follow in developing a linear regression model.
-
In terms of the periodic table, is there an abrupt or gradual change between ionic and covalent bonds? (a) An abrupt change occurs across the metalloids. (b) Actually, any element of the periodic...
-
A partial portion of the balance sheet at December 31, 2012, for the Gusto Corporation is presented below: The following transactions occurred during 2013: On January 1, retired equipment with a net...
-
Use the following information (in random order) from a merchandising company and from a service company. McNeil Merchandising Company Accumulated depreciation Beginning inventory Ending inventory...
-
(a) IAS 16 Property, Plant and Equipment requires that where there has been a permanent diminution in the value of property, plant and equipment, the carrying amount should be written down to the...
-
Evaluate | (1 tan 21)'/' dt. lim 0 J
-
Given the point (a, b) in the first quadrant, find the downward-opening parabola that passes through the point (a, b) and the origin such that the area under the parabola is a minimum.
-
A country has a lower inflation rate than all other countries. It has more rapid economic growth. The central bank does not intervene in the foreign exchange market. What can you say (and why) about:...
-
Bowen s HVAC installs heating and cooling systems in commercial buildings. I August, Bowen started and completed two jobs, Job 1 2 4 8 and Job 1 2 4 9 . The job cost sheet for Job 1 2 4 8 showed $ 1...
-
Information from Favorio, Inc's first year of operations is available below: Sales in units 6,500 Production in units 8,000 Manufacturing costs: Direct labor $3.50 per unit Direct material $5.00 per...
-
Ms. Kim had employment-related travel expenses as follows: Meals $1,300 Hotels 3,500 Total $4,800 Assume that the meals were incurred while travelling away from her employer's place of business for...
-
Helen purchased an antique cabinet as an investment for $30,000 a few years ago. On January 15 of this year, she sold the cabinet to an art museum for $120,000 in an installment sale. She received a...
-
If a company has net income of $ 8 , 5 0 0 , 0 0 0 , average share of common stock outstanding of 2 , 0 0 0 , 0 0 0 , average total stockholders' equity of $ 1 5 4 , 4 0 0 , 0 0 0 and annual...
-
A study in Industrial Marketing Management (February 2016) investigated the impact of service workers' (e.g., waiters and waitresses) personal resources on the quality of the firm's relationship with...
-
The population of Detroit, Michigan, decreased from 1,027,974 in 1990 to 688,701 in 2013 (Source: U.S. Census Bureau). Find the average rate of change in the population of Detroit, Michigan, over the...
-
(a) Sketch the graph of y = e x as a curve in R 2 . (b) Sketch the graph of y = e x as a surface in R 3 . (c) Describe and sketch the surface z = e y .
-
(a) Find and identify the traces of the quadric surface x 2 + y 2 - z 2 = 1 and explain why the graph looks like the graph of the hyperboloid of one sheet in Table 1. (b) If we change the equation in...
-
(a) Find and identify the traces of the quadric surface x 2 + y 2 - z 2 = 1 and explain why the graph looks like the graph of the hyperboloid of one sheet in Table 1. (b) If we change the equation in...
-
When considering organizational risk it is important to review the political, economic, social, legal, technological, and policy context. Comment on the influence/ impact each of those factors has on...
-
Morganton Company makes one product and it provided the following information to help prepare the master budget: a. The budgeted selling price per unit is $70. Budgeted unit sales for June, July,...
-
A newly admitted child has the following order for Acetaminophen 480 mg PO q4h prn for temperature greater than or equal to 38.3 degrees C. The child's weight is 32 kg. The recommended child's dosage...
Study smarter with the SolutionInn App