Chapter 6, Problem 6.2.4CP

Whale and Kanmuro are two islands located in the Chimera archipelago. These two are separated by a distance of 20 miles. A power link is to be established between them. The power link delivers a maximum power of 600 MW at full capacity with an operating voltage of 500 kV. Solve for the resistivity of the cable, assuming a conductor diameter of 1.5 cm. Express your answer in µN-m.

A leading bicycle company has engineered a revolutionary lightweight carbon fiber frame for its new racing bicycle, but is concerned that the main tube (called the ‘down tube’) might bend too much under strong pedaling forces. Too much, according to the bicycle company’s specification, is more than a 10-degree bend when applying 600 newtons of force—that’s more than twice the force that most racing cyclists can produce. Carbon fiber is laid by hand, so some variation is expected. The bicycle company’s engineers predict that the new frame design can be manufactured to meet the bending specification only 85% of the time. However, the company’s favored manufacturer has historically made carbon fiber frames that meet the bending specification 95% of the time. The bicycle company asked this manufacturer to supply 12 frames with the new lightweight design in a range of sizes. Let the random variable X be the number of frames in the sample of 12 that meet the bending specification. a. Assume…

A bird is released from point A on an island, 5 mi from the nearest point B on a straight shoreline. The bird flies to a point C on the shoreline and then flies along the shoreline to its nesting area D (see the figure). Suppose the bird requires 8 kcal/mi of energy to fly over land and 12 kcal/mi to fly over water.