Calculate the relative error of the answer obtained

Assignment Help Mathematics

Reference no: EM131067525

If water is drained from a vertical cylindrical tank by opening a valve at the base, thewater will flow fast when the tank is full and slow down as it continues to drain. As itturns out, the rate at which the water level drops is: ????????=-??v?? where ?? is a constantdepending on the shape of the hole, the cross-sectional area of the tank and drain hole.The depth of the water ?? is measured in meters and the time ?? in minutes. If ??=0.5,determine how long it takes the tank to drain if the fluid level is initially 3 m. Solve theproblem by applying classical fourth-order Runge-Kutta method. Use a step size of 0.5minutes.Given the true value is ??=2v3 ??, calculate the relative error of the answer obtained fromyour calculation.

Reference no: EM131067525

Questions Cloud

Projectile hits the ground : A spring gun shoots a projectile with a speed V0at an angle as measured from the horizontal direction. The ground is sloped upward at an angle. Give the cooridnates (x,y) of where the projectile hits the ground.

What is the IRR for each of these projects : Garage, Inc., has identified the following two mutually exclusive projects: Year Cash Flow (A) Cash Flow (B) 0 –$ 28,900 –$ 28,900 1 14,300 4,250 2 12,200 9,750 3 9,150 15,100 4 5,050 16,700 a-1 What is the IRR for each of these projects? At what dis..

Period of oscillation of the individual masses : What is the period of oscillation of the individual masses? What is the maximum potential energy stored in the spring?

Design a power electronic system : It is desired to design a power electronic system, Design the circuit and select the appropriate components for that circuit to fulfill the requirements of the device

Calculate the relative error of the answer obtained : calculate the relative error of the answer obtained

Organization information and the costs of producing : The value of information is the difference between the benefits realised from using that information and the costs of producing it. Would you, or any organisation, ever produce information if its expected costs exceeded its benefits? If so, provid..

Acceleration of gravity on the moon : Determine the time for the feather to fall to the surface of the moon if i t dropped on the moon from a height of 1.40 meters. The acceleration of gravity on the moon is 1.67 m/s2.

Finding the required rate of return on equity capital : Finding the required rate of return on equity capital. How do I find the RE with only using information found online? I need to find it for PepsiCo and I am not sure and the book that I am studying does an awful job of explaining. Could someone expla..

Determine the acceleration of the car : Determine the acceleration of the car if race car accelerates uniformly from 18.5 m/s to 46.1 m/s in 2.47 seconds.

User Account

All Pages