1. Where would the acceleration from gravity be greatest and least? In Death Valley (elevation –290 ft.), on the top of the world’s tallest building, the Burj Khalifa (elevation 2,720 ft.) or Mount Everest (elevation 29,029 ft.)

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter11: Dynamics Of Rigid Bodies
Section: Chapter Questions
Problem 11.15P
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PHYSICAL SCIENCE 

Any simple pendulum can be described by the relationship between the pendulum’s period of oscillation, the length of the pendulum, and the gravitational acceleration. This relationship is given by the equation where T is the time in seconds for one cycle, L is the length of the pendulum from the pivot point to the center of mass of the bob, and g is the acceleration from gravity. Notice that there is no mass variable in this equation, meaning that mass has no effect on the motion of a pendulum. We can measure the period of the pendulum with a stopwatch, we can also measure the length of the pendulum. If we then solve the equation for g, we can determine the gravitational acceleration using a simple pendulum. Taking the equation above we can divide both sides of the equation by 2π which then gives, we can then square both sides of the equation to get rid of the radical, which gives us, we can then use the reciprocal rule to invert both sides of the equation which gives, finally we multiply both sides of the equation by L to isolate g by itself, which gives us, We will use this equation to determine g from the pendulum’s period and length.

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1. Where would the acceleration from gravity be greatest and least? In Death Valley (elevation –290 ft.), on the top of the world’s tallest building, the Burj Khalifa (elevation 2,720 ft.) or Mount Everest (elevation 29,029 ft.)

 

 

2. Find your weight in Newtons.

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