Obtain a plot of the approximate transfer function model

Assignment Help Mechanical Engineering

Reference no: EM13626048

The volume of a hemispherical storage tank, as a function of its height, is given by V(t) =pi*R*h^2(t) - (pi/3)*h^3(t), where R is the radius of the hemispherical tank.The following physical information is available for the tank: R =2m; c =1.5 m^(5/2) /min. The steady state feed flowrate to the tank is F0 = 1.35 m^3/min.

(a) Derive the dynamic mass balance that describes height of gasoline in the tank as a function of time.

(b) Linearize this model about a steady state, h (you will need to nd this numerical value), and convert the model to deviation variable form.

(d) Obtain a plot of the approximate (transfer function) model response to a step change in F0 from its initial value to a value of 1.8 m3/min.

(e) Obtain the corresponding plot for the nonlinear model to the same step change. Discuss their similarities and dierences, and comment on the suitability of the linear model in approximating the nonlinear system.

Reference no: EM13626048

Questions Cloud

What is the expected value of perfect : what is the expected value of perfect information?decisionss1 .20s2 .10s3

A local real estate investor in orlando is considering five : a local real estate investor in orlando is considering five alternative investments a day spa a theater a restaurant a

The gas undergoes a quasistatic process according to the : a heavily insulated piston-cylinder device contains a gas which is initially at 5 bars and 187 degc and occupies 0.1

Given the following table of payoffs use sensitivity : given the following table of payoffs use sensitivity analysis to determine at what probability or more you would select

Obtain a plot of the approximate transfer function model : the volume of a hemispherical storage tank as a function of its height is given by vt pirh2t - pi3h3t where r is the

A spring with a spring constant of 120 nm lies on a : a spring with a spring constant of 120 nm lies on a horizontal frictionless table. the spring is attached to a 1.5-kg

How many kilograms per second of air must be supplied what : a meeting hall is to be maintained at 25 degc db and 18 degc wb. the barometric pressure is 101.3 kpa. the space has a

A lens with focal length 50 mm and a maximum aperture f2 : a lens with focal length 50 mm and a maximum aperture f2 forms an image of an object 9.0 m away.a. what is the

The volumetric flow rates are 10 m3s and 6 m3s respectively : air at 10 degc db and 5 degc wb is mixed with air at 25 degc db and 18 degc wb in a steady-flow process at standard

User Account

All Pages