Reminder Round all the answers to two decimal places unless otherwise indicated.
Cox’s Formula Assume that a long horizontal pipe connects the bottom of a reservoir with a drainage area. Cox’s formula provides a way of determining the velocity
Here
a. Graph the quadratic function
b. Judging on the basis of Cox’s formula, is it possible to have a velocity of
c. Find the velocity of the water in the pipe if the pipe’s diameter is
d. If the water velocity is too high, there will be erosion problems. Assuming that the pipe length is
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Chapter 5 Solutions
FUNCTIONS+CHANGE -WEBASSIGN
- Skidding in a Curve A car is traveling on a curve that forms a circular arc. The force F needed to keep the car from skidding is jointly proportional to the weight w of the car and the square of its speed s and is inversely proportional to the radius r of the curve. a Write an equation that expresses this variation. b A car weighing 1600 lb travels around a curve at 60 mi/h. The next car to round this curve weighs 2500 lb and requires the same force as the first car to keep from skidding. How fast is the second car traveling?arrow_forwardLIFE SCIENCE APPLICATIONS Dinosaur Running An article entitled How Dinosaurs Ran explains that the locomotion of different sized animals can be compared when they have the same Froude number, defined as F=v2gl, where v is the velocity, g is the acceleration of gravity (9.81mpersec2), and l is the leg length in meters. Source: Scientific American. a. One result described in the article is that different animals change from a trot to a gallop at the same Froude number, roughly 2.56. Find the velocity at which this change occurs for a ferret, with a leg length of 0.09m, and a rhinoceros, with a leg length of 1.2m. b. Ancient footprints in Texas of a sauropod, a large herbivorous dinosaur, are roughly 1m in diameter, corresponding to a leg length of roughly 4m. By comparing the stride divided by the leg length with that of various modern creatures, it can be determined that the Froude number for these dinosaurs is roughly 0.025. How fast were the sauropods traveling? c. d.arrow_forward
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