State the time required to drain the tank to a level

Reference no: EM13182131

A spherical water tank of radius R=4m is emptied through a small circular hole of radius r=.02m at the bottom. The top of the tank is open to the atmosphere. The instaneous water level h in the tank can be determined from the solution of the following ODE:

dh/dt=(-r^2*sqrt(2gh))/(2hR-h^2)

where g=9.8m/s^2. If the intial (t=0) water level is h=6.5m, find the time required to drain the tank to a level of h=.5m.

b) use one of MATLAB's built in functions for solving an ODE

Reference no: EM13182131

Questions Cloud

Herbal or nutrient drug interactions : Have you come across questions or concerns about herbal or nutrient drug interactions? Think of an example of yourself, or someone you know. How were your questions or concerns addressed? Did you find reliable information? Where, in your experience, ..

Find the probability that sample standard deviation is less : In a large city it was found that summer electricity bills for single-family home followed a normal distribution with standard deviation $100. A random sample of 25 bills was taken. a. Find the probability that the sample standard deviation is less..

Animal experimentation-outsourcing and media violence : Select one of the topics below and read both articles that present opposing sides of the argument surrounding that topic. o Animal experimentation o Outsourcing o Media violence Answer the following questions in paragraphs of approximately 100 words ..

If firms collude what is the profit of each firm : Assume a duopoly and let demand be given by P=A-BQ. In addition, let both firms have the same marginal cost c. The interaction between the two firms will be repeated infinitely. Both firms play a grim trigger strategy: they collude and play the co..

State the time required to drain the tank to a level : A spherical water tank of radius R=4m is emptied through a small circular hole of radius r=.02m at the bottom. The top of the tank is open to the atmosphere. The instaneous water level h in the tank can be determined from the solution of the follo..

Official language of spain is castilian : The official language of Spain is Castilian (Castellano), which is the language generally perceived to be "Spanish"; however, there are four other languages that share the status of co-official in the particular region in which they are used

What is the steady-state value of capital-labor ratio : A country has the per-worker production function, y=5k1/2, where y is the output per worker and k is the capital- labor ratio. The depreciation rate is 0.15 and the population growth rate is 0.05. The saving function s=0.2Y where s is total nation..

How did company learn about and respond to opportunities : What Opportunities in the marketing environment did Gannett seize in launching USA Today? How did the company learn about and respond to the opportunities?

Ronald reagan and the beginning of reaganomics : Submit a 150- to 250-word response in which you describe the economic troubles of the late 1970s and explain how the economic situation helped to lead to the election of Ronald Reagan and the beginning of “Reaganomics.”

User Account

All Pages