Consider an idealized cylinder of cross-sectional area A moving along its axis through an idealized diffuse gas
Question:
Consider an idealized cylinder of cross-sectional area A moving along its axis through an idealized diffuse gas of air molecules with vanishing initial velocity. Assume that the air molecules are point like and do not interact with one another. Compute the velocity that each air molecule acquires after a collision with the cylinder, assuming that the cylinder is much more massive than the air molecules. Use this result to show that the drag coefficient of the cylinder in this idealized approximation is cd = 4.
Step by Step Answer:
Suppose the cylinder is traveling at a velocity v In the cylinders rest frame the air molecules are ...View the full answer
Related Video
An air pump is a device used to inflate or deflate objects by moving air in or out of them. There are many different types of air pumps, ranging from manual hand pumps to electrically powered pumps, and they are used for a variety of purposes. John had trouble blowing up many balloons without a balloon pump and experienced pain. He solved this problem by using an empty plastic bottle with a rectangular-shaped hole in the cap, a cut piece of balloon stretched over it, and a small hole in the bottle. By pressing and releasing the bottle, he created an air pump to inflate the balloons without any discomfort. Air pumps utilize fluid mechanics and thermodynamics principles to increase air pressure inside an object being inflated, such as a bicycle tire. The ideal gas law is used to calculate the pressure inside the tire. As air pressure increases, the object becomes more rigid and can support more weight. The efficiency of the pump is determined by how much of the work done is converted into useful work, such as inflating the tire, and how much is lost as heat. Understanding these principles is important to effectively use and optimize the use of air pumps.
Students also viewed these Physics questions
-
A piston/cylinder of cross sectional area 0.01 m2 maintains constant pressure. It contains 1 kg water with a quality of 5% at 150oC. If we heat so 1 g/s liquid turns into vapor what is the rate of...
-
A piston/cylinder of cross sectional area 0.01 m2 maintains constant pressure. It contains 1 kg water with a quality of 5% at 150oC. If we heat so 1 g/s liquid turns into vapor what is the rate of...
-
A piston/cylinder of cross sectional area 0.01 m2 maintains constant pressure. It contains 1 kg water with a quality of 5% at 150oC. If we heat so 1 g/s liquid turns into vapor what is the rate of...
-
Suppose you observe the following exchange rates: 1 = $1.50; 120 = $1.00. Calculate the euro-yuan exchange rate. Group of answer choices a. 80 = 1.00 b. 1 = 2.50 c. 133.33 = 1.00 d. 1.00 = 180
-
A water-skier, moving at a speed of 9.30 m/s, is being pulled by a tow rope that makes an angle of 37.0° with respect to the velocity of the boat (see the drawing). The tow rope is parallel to...
-
Use the diagram to answer each question. Pulleys 2 5 3 A B have the C D EPotential Energy V 0.425 23. Which machine(s) Do(es) Not multiply the input force? 3 pts UCS
-
In a study measuring households' familiarity with downloading pictures from the Internet, the following results were obtained $(1=$ not at all familiar, $7=$ very familiar $)$. Level of Familiarity...
-
There are two players. Each player has to write down a real number greater than or equal to 1; thus the strategy sets are S S = [1,00). Payoffs are as follows (x is the number written by Player 1 and...
-
Gordon Growth Company is expected to pay a dividend of $3.4 next period and dividends are expected to grow at 3% per year. The required return is 11%. What is the current price? What is the value of...
-
The management of the just Like Home restaurant has asked you to analyze some of its processes. One of these processes is making a single-scoop ice cream cone. Cones can be ordered by a server (for...
-
Compare the rate of power lost to air resistance for the following two vehicles at 60 km/h and 120 km/h: (a) General Motors EV1 with c d A 0.37m2, (b) Hummer H2 with c d A 2.45m2.
-
One way to estimate the effective area of an object is to measure its limiting velocity v falling in air. Explain how this works and find the expression for A eff as a function of m (the mass of the...
-
Identify your own preferred position of leading and managing others. Why would you put yourself here, and do you agree with Blake and Moutons (1964) assertion that 9.9, Team Management, is the best...
-
How much money (assume equity) does Mented need to raise? a. What assumptions are included in your estimate? b. How is this amount of capital aligned with Mented's Pro Forma Income Statement?
-
What is the size of the potential addressable market? What do you view as the keys to success for Mented?
-
What feature do structured products and bonds have in common?
-
How will AI banking assistants get information about new financial products and services in the future?
-
If beta_L = 0.8 and beta_H = 2.50 What is the risk-free asset position in the BaB long-short strategy ?
-
In most cases, performance forecasts that are made far into the future a. Will require modification. b. Will be highly accurate. c. Are most useful than shorter term forecasts. d. Are of little to no...
-
Find the velocity, acceleration, and speed of a particle with the given position function. r(t) = (t 2 , sin t - t cos t, cos t + t sin t), t > 0
-
A 5.4-cm-diameter cylinder has a length of 12.5 cm. What is the cylinders volume in SI units?
-
An intravenous saline drip has 9.0 g of sodium chloride per liter of water. By definition, 1 mL = 1 cm 3 . Express the salt concentration in kg/m 3 ?
-
The quantity called mass density is the mass per unit volume of a substance. What are the mass densities in SI units of the following objects? a. A 215 cm 3 solid with a mass of 0.0179 kg. b. 95 cm 3...
-
Hall & Company issues $ 1 0 0 , 0 0 0 , 0 0 0 in 6 % bonds with detachable warrants of 1 0 warrants for each $ 1 , 0 0 0 bond. The bonds are issued at 9 9 . Record the issuance under the following...
-
Assume that hein acquired Dolan Development last year. Hein recorded the following intangible assets on the date of acquisition: Goodwill: $ 1 , 5 0 0 , 0 0 0 Dolan Development trademark: $ 6 0 0 , 0...
-
What is the total amount of interest that will be paid of the loan is carried to term with no extra payments made building cost 3 3 0 0 0 0 . loan started im Dec 2 0 2 3 worh a 7 . 5 % interest rate...
Study smarter with the SolutionInn App