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# Formulas and word problems

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Section 9.1, Page 550
108) Comparing wind chills. Through experimentation in Antarctica, Paul Siple developed the formula to calculate the wind chill temperature W (in degrees Fahrenheit) from the wind velocity v (in miles per hour, mph) and the air temperature t (in degrees Fahrenheit). Use this formula to determine who will feel colder: a person in Minneapolis at 10&#61616;F with a 15-mph wind or a person in Chicago at 20&#61616;F with a 25-mph wind.

Section 9.3, Page 569
114) Area of a triangle. Find the exact area of a triangle with a base of meters and a height of meters.

Section 9.5, Page 589
116) Orbit of Venus. According to Kepler's third law of planetary motion, the ratio has the same value for every planet in our solar system. R is the average radius of the orbit of the planet measured in astronomical units (AU), and T is the number of years it takes for one complete orbit of the sun. If the average radius of the orbit of Venus is 0.723 AU, then how many years does it take for Venus to complete one orbit of the sun?

Section 10.1, Page 620
104) Time to swing. The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula . If a child is on a swing with a 10-foot chain, then how long does it take to complete one cycle of the swing?

#### Solution Summary

This provides several examples of using formulas in word problems, including orbit, a pendulum, windchill, and a triangle.

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