Consider the storage tank described in Question 4 of Exercises 2 2 2 Show that the volume V(h) of oil when the depth is h is given by What is the value of h when the volume of oil is reduced to 10 of its capacity Data from Question 4 of Exercises 2 2 2 An oil storage tank has the form of a circular...

The volume of oil in the tank is the area covered by oil at the ends X 8 F ...

Consider the storage tank described in Question 4 of Exercises 2.2.2. Show that the volume V(h)

Question:

Consider the storage tank described in Question 4 of Exercises 2.2.2. Show that the volume V(h) of oil when the depth is h is given by

V(h) = 32 sin (h-2) 2 + 16 + 8(h-2) (4h-h)

What is the value of h when the volume of oil is reduced to 10% of its capacity?

Data from Question 4 of Exercises 2.2.2.

An oil storage tank has the form of a circular cylinder with its axis horizontal, as shown in Figure 2.9. The volume of oil in the tank when the depth is h is given in the table below.

h/m 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 V/10001 7.3 19.7 34.4 50.3 66.1 80.9 93.9 100.5 hm Figure 2.9

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

See More Books

Question Posted: Jan 15, 2024 01:00 AM

See More Questions

An oil storage tank has the form of a circular cylinder with its axis horizontal, as shown in Figure 2.9. The volume of oil in the tank when the depth is h is given in the table below. Draw a careful...
a. Example 13-1: Batch Reactor with an Exothermic Reaction Wolfram 1. Adiabatic Case: Use Wolfram to see whether you can find a trajectory that is ready to ignite and whose trajectory looks like a...
Consider again the conditions of Exercises 2 and 4. Show that there exists a constant c such that the estimator cYn dominates every other estimator having the form cYn for c c.
In Problems 4164, graph each function using the techniques of shifting, compressing, stretching, and/or reflecting. Start with the graph of the basic function (for example, y = x 2 ) and show all the...
Two trains are traveling toward each other at 30.5 m/s relative to the ground. One train is blowing a whistle at 500 Hz. (a) What frequency is heard on the other train in still air? (b) What...
Identify the errors in the following schedule of cost of merchandise sold for the current year ended July 31,2010: Cost of merchandise sold: Merchandise inventory, July 31, 2010 Purchases Plus:...
Broken rotor bars are not a common fault. What are two main causes of broken rotor bars?
Selected account balances and transactions of Alpine Manufacturing Co. follow: May Transactions: a. Purchased raw materials and factory supplies on account at costs of $45,000 and $10,000,...
For shooting practice a person uses a pellet gun and an empty pop can. The pop can rests on a flat surface that has a coefficient of kinetic friction 0.500. The pellet has a mass of 0.120 kg and the...
Using the substitution u = (x + 2), evaluate the definite integral 2 -2 (x + 2) x+6 -dx
Find the indefinite integral (1 x 2 )dx, 0 x 1.
The Pittsburgh Board of Public Education in Pittsburgh, Pennsylvania, as required by state law, keeps lists of eligible teachers in order of their rank or standing. According to an Eligibility List...
(a) Which of the five levels of education has the most individuals and what is this number? (b) If the sample of telcos customers that earned a high school degree (287) is used to estimate the number...
A gyroscope consists of a spinning wheel mounted inside a support structure (Figure P12.89). Because of conservation of angular momentum, the gyroscope keeps its orientation in space unless some...
A manufacturer received an order of 250 computer chips. Unfortunately, 12 of the chips are defective. To test the shipment, the quality-control engineer randomly selects 20 chips from the box of 250...
For the $x$ and $y$ axes of a right-handed Cartesian coordinate system, what is the direction of $\hat{i} \times[\hat{i} \times[\hat{i} \times(\hat{i} \times \hat{j})] ?$
A statistics class consists of 24 students, all but one of whom are unemployed or are employed in low-paying part-time jobs. One student works as an executive secretary earning $$75,000$ per year....
Manage by exception is a term often used by management. How can the analysis of variances assist in this process?
Calculate the change in entropy when 100 kJ of energy is transferred reversibly and isothermally as heat to a large block of copper at (i) 0 C, (ii) 50 C.
When the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, it causes the temperature to vary along the pipe as T = (5/3 x 2 -...
When the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, the temperatures at ends A and B rise to 130°C and 80°C,...
When the temperature is at 30°C, the A-36 steel pipe fits snugly between the two fuel tanks. When fuel flows through the pipe, the temperatures at ends A and B rise to 130°C and 80°C,...
It is evident that Central Banks in advanced capitalist nations such as Australia are serious about reducing annual CPI inflation, which was 5.4 per cent in the September 2023 quarter. Raising the...
Using the Trade Stats Express page and response to the following questions: What are the leading U.S. exports and imports in terms of value? Which trading partners are most important to the United...
1: Explain what happens to create regional and contact metamorphism? 2: Describe radioactive decay processes and the half-life? 3: Identify and describe fault and fold types? 4: Explain 3 of the 7...

Consider the storage tank described in Question 4 of Exercises 2.2.2. Show that the volume V(h)

Question:

V(h) = 32 sin (h-2) 2 + 16 + 8(h-2) (4h-h)

Step by Step Answer:

The volume of oil in the tank is the area covered by oil at the ends X 8 F...View the full answer

Modern Engineering Mathematics

Students also viewed these Sciences questions