A manufacturer has the goal of minimizing the cost of the material used to make cylindrical conta...
A manufacturer has the goal of minimizing the cost of the
material used to make cylindrical containers (dimensions: radius r
and height h), which has a defined mass of a homogeneous liquid.
Depending on the mass (m ) and the volumetric density ( ) of this
liquid, determine
which are the optimum dimensions for these containers. [Hint:
Develop the problem by equating the total surface area of the right
circular cylinder.]
Homework Answers
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A manufacturer has the goal of minimizing the cost of the material used to make cylindrical conta...
A particular cylindrical bucket has a height of 50.0 cm, and the radius of its circular...
A particular cylindrical bucket has a height of 50.0 cm, and the radius of its circular cross-section is 15 cm. The bucket is empty, aside from containing air. The bucket is then inverted so that its open end is down and, being careful not to lose any of the air trapped inside, the bucket is lowered below the surface of a fresh-water lake so the water-air interface in the bucket is 40.0 m below the surface of the lake. To...
Suppose that a tank containing a certain liquid has an outlet near the bottom. Let h(t)...
Suppose that a tank containing a certain liquid has an outlet near the bottom. Let h(t) denote the height of the liquid's surface above the outlet. Torricelli's principle states that the outflow velocity v at the outlet is equal to the velocity of a particle falling freely (with no drag) from the height h (a) Show that v2gh, where g is the acceleration due to gravity. (b) By equating the rate of outflow to the rate of change of liquid...
Show work please Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
elcise .1S.3 pp69i-698. Figure 8.85 shows an old cylindrical bore- hole that has been filled in...
elcise .1S.3 pp69i-698. Figure 8.85 shows an old cylindrical bore- hole that has been filled in part with silt and in part with water. Before the hole can be redrilled the water has to be pumped to the surface. We wish to estimate the work (en- ergy) required for this purpose water? Ground level 50 mAy Silt Figure 8.83 (a) As a first approximation, assume that the silting has been uniform - as indicated in Figure 8.85 and that the...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
I need the best solution for these 2 questions on the section " Check your learning"...
I need the best solution for these 2 questions on the
section " Check your learning" (10.4 and 10.5) to prepare my exam in class.
Thank you so much for helping me
Y althlon tai sok Translate Gm arch this book O Back Figure 10.20 Depending upon the relative strengths of adhesive and cohesive forces, a liquid may rise (such as water) or fall (such as mercury) in a glass capillary tube. The extent of the rise (or falt is...
Design the cooling system used to manufacture the leg of a table, shown in Fig.2. You...
Design the cooling system used to manufacture the leg of a table, shown in Fig.2. You will have to determine the required diameter D so that the leg can withstand 100 kg of axial loading. Once the diameter has been determined, you will need to determine the Revolutions per Minute (RPMs) of the fan needed to cool down the leg to 90-C in less than 2 minutes before it starts deforming after being 3D printed. Consider the leg of the...
summarizr the followung info and write them in your own words and break them into different...
summarizr the followung info and write them in your own words and break them into different key points. 6.5 Metering Chamber: 6.5.1 The minimum size of the metering box is governed by the metering area required to obtain a representative test area for the specimen (see 7.2) and for maintenance of reasonable test accuracy. For example, for specimens incorporating air spaces or stud spaces, the metering area shall span an integral number of spaces (see 5.5). The depth of...
summatize the following info and break them into differeng key points. write them in yojr own...
summatize the following info and break them into differeng key points. write them in yojr own words
apartus
6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...
2. If two different compounds have the same Rr value, how might they be identified using paper chromatography?...
2. If two different compounds have the same Rr value, how might they be identified using paper chromatography? 3. Why is it important to keep the spots on the paper as small as possible? 4. If the solvent pool at the bottom of the beaker touched the spots on the 1.5cm line, what would happen to the spots? How would you address this error? 5. If you were teaching a student how to do paper chromatography, what three pieces of...
Suppose that a tank containing a certain liquid has an outlet near the bottom. Let h(t) denote the height of the liquid's surface above the outlet. Torricelli's principle states that the outflow velocity v at the outlet is equal to the velocity of a particle falling freely (with no drag) from the height h (a) Show that v2gh, where g is the acceleration due to gravity. (b) By equating the rate of outflow to the rate of change of liquid...
Show work please
Optimization problems 1. (5 points) Find two nonnegative numbers whose sum is 25 and so that the product of one number and the square of the other number is a maximum. 2. (5 points) Build a rectangular pen with two parallel partitions using 300 feet of fencing. What dimensions will maximize the total area of the pen? (5 points) An open rectangular box with square base is to be made from 48 ft.2 of material. What dimensions...
elcise .1S.3 pp69i-698. Figure 8.85 shows an old cylindrical bore- hole that has been filled in part with silt and in part with water. Before the hole can be redrilled the water has to be pumped to the surface. We wish to estimate the work (en- ergy) required for this purpose water? Ground level 50 mAy Silt Figure 8.83 (a) As a first approximation, assume that the silting has been uniform - as indicated in Figure 8.85 and that the...
Consider a cylindrical capacitor like that shown in Fig. 24.6. Let d = rb − ra be the spacing between the inner and outer conductors. (a) Let the radii of the two conductors be only slightly different, so that d << ra. Show that the result derived in Example 24.4 (Section 24.1) for the capacitance of a cylindrical capacitor then reduces to Eq. (24.2), the equation for the capacitance of a parallel-plate capacitor, with A being the surface area of...
I need the best solution for these 2 questions on the
section " Check your learning" (10.4 and 10.5) to prepare my exam in class.
Thank you so much for helping me
Y althlon tai sok Translate Gm arch this book O Back Figure 10.20 Depending upon the relative strengths of adhesive and cohesive forces, a liquid may rise (such as water) or fall (such as mercury) in a glass capillary tube. The extent of the rise (or falt is...
Design the cooling system used to manufacture the leg of a table, shown in Fig.2. You will have to determine the required diameter D so that the leg can withstand 100 kg of axial loading. Once the diameter has been determined, you will need to determine the Revolutions per Minute (RPMs) of the fan needed to cool down the leg to 90-C in less than 2 minutes before it starts deforming after being 3D printed. Consider the leg of the...
summatize the following info and break them into differeng key points. write them in yojr own words
apartus
6.1 Introduction—The design of a successful hot box appa- ratus is influenced by many factors. Before beginning the design of an apparatus meeting this standard, the designer shall review the discussion on the limitations and accuracy, Section 13, discussions of the energy flows in a hot box, Annex A2, the metering box wall loss flow, Annex A3, and flanking loss, Annex...
2. If two different compounds have the same Rr value, how might they be identified using paper chromatography? 3. Why is it important to keep the spots on the paper as small as possible? 4. If the solvent pool at the bottom of the beaker touched the spots on the 1.5cm line, what would happen to the spots? How would you address this error? 5. If you were teaching a student how to do paper chromatography, what three pieces of...
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