Law of the Pendulum The period of a pendulum (the timeelapsed during one complete swing of the pendulum) variesdirectly with the square root of the length of the pendulum.(a) Express this relationship by writing an equation.(b) To double the period, how would we have to change thelength I?

The period of a pendulum varies directly with the square root of the length of the pendulum. a). Let…

Answered: Law of the Pendulum The period of a…

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter1: Equations And Graphs

Section1.10: Modeling Variation

Problem 51E: Law of the Pendulum The period of a pendulum the time elapsed during one complete swing of the...

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Forensics At 8:30 A.M., a coroner went to the home of a person who had died during the night. In order to estimate the time of death, the coroner took the person’s temperature twice. At 9:00 A.M. the temperature was 85.7F, and at 11:00 A.M. the temperature was 82.8F. From these two temperatures, the coroner was able to determine that the time elapsed since death and the body temperature were related by the formula t=10lnT7098.670 where t is the time in hours elapsed since the person died and T is the temperature (in degrees Fahrenheit) of the person’s body. (This formula comes from a general cooling principle called Newton’s Law of Cooling. It uses the assumptions that the person had a normal body temperature of 98.6F at death and that the room temperature was a constant 70F.) Use the formula to estimate the time of death of the person.
Solve each problem. Wind velocity A plane can fly 340 mph in still air. If it can fly 200 miles downwind in the same amount of time it can fly 140 miles upwind, find the velocity of the wind.

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Law of the Pendulum The period of a pendulum (the time elapsed during one complete swing of the pendulum) varies directly with the square root of the length of the pendulum. (a) Express this relationship by writing an equation. (b) To double the period, how would we have to change the length I?