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Category > Engineering Posted 27 May 2017 My Price 7.00

The equation describing the water height h in a spherical tank with a drain at the bottom is

The equation describing the water height h in a spherical tank with a drain at the bottom is

 

Suppose the tank’s radius is r = 3 m and that the circular drain hole has a radius of 2 cm. Assume that Cd = 0.5, and that the initial water height is h(0) = 5 m. Use g = 9.81 m/s2.

a. Use an approximation to estimate how long it takes for the tank to empty.

b. Use MATLAB to solve the nonlinear equation and plot the water height as a function of time until h(t) is not quite zero.

 

Answers

Alpha Geek
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Status NEW Posted 27 May 2017 02:05 PM My Price 7.00

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