# Category Archive for: advanced Plotting and Model Building

Modeling Bacterla Growth Bacteria have beneficial uses, such as in the production of foods, beverages, and medicines. On the other hand, some bacteria are important indicators of poor environmental quality. Engineers in the food, environmental, and chemical industries often must understand and be able to model the growth of bacteria. The following table gives data on the growth…

Breaking Strength And Alloy Compos Chemical, civil, mechanical, aerospace, and bio medical engineers need to predict the It ten the of metal parts as  function of their alloy composition. The tension force y . required to break-a steel bar is a function of the percentage X, and X2 of each of two ‘l!! Ioying elements present in…

Estimation of Traffic Flow Civil and transportation engineers must often estimate the future traffic flow on roads and bridges to plan for maintenance or possible future expansion. The following data gives the number of vehicles (in millions) crossing a bridge each year for 10 years. Fit a cubic polynomial to the data and use the fit to…

Hydraulic Resistance A IS-cup coffee pot (see Figure 5.5-6) was placed under a water faucet and filled to the IS-cup line. With the outlet valve open. the faucet’s flow rate was adjusted until the water level remained constant at 15 cups, and the time for one cup to flow out of the pot was measured. This experiment was…

Temperature Dynamics The temperature of coffee cooling in a porcelain mug at room temperature (68°F) was measured at various times. The data follows. Develop a model of the coffee’s temperature as a function of time and use the model to estimate how long it will take the temperature to reach 120°F. • Solution Because T(O) is finite…

Potting Orbits The equation                              describes the polar coordinates of an orbit measured from one of the orbit’s two fer cal points. For objects in orbit .around the sun, the sun is at one of the focal poin Thus r is the distance of…

A Cantilever Beam Deflection Model The deflection of a cantilever beam is the distance its end moves in response to a force applied at the end (Figure 5.5-3). The following table gives the deflection x that was produced in a particular beam by the given applied force f. Is there a set of axes (rectilinear. semilog. or…

Frequency Response Plot of a Low-Pass Filter The circuit shown in Figure 5.3-4 consists of a resistor and a capacitor and is thus called .an RC circuit. If we apply a sinusoidal voltage Vi, called the input voltage, to the circuit as shown, then eventually the output voltage V o will be sinusoidal also, with the me frequency…