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According to building specifications and physical measurements, the maximum weight that foundation columns of tall buildings can carry varies directly with the fourth power of their perimeter. In a specific sample check, it was found that a column with a perimeter of 6m could hold a weight of 55000 kg. a Find the formula that relates the perimeter of the column to the weight it can carry. b Estimate the weight that another column of the same make with a perimeter of 8m can hold. c Calculate the perimeter that a column should have in order to be able to hold 200 000 kg?

According to building specifications and physical measurements, the maximum weight that foundation columns of tall buildings can carry varies directly with the fourth power of their perimeter. In a specific sample check, it was found that a column with a perimeter of 6m could hold a weight of 55000 kg. a Find the formula that relates the perimeter of the column to the weight it can carry. b Estimate the weight that another column of the same make with a perimeter of 8m can hold. c Calculate the perimeter that a column should have in order to be able to hold 200 000 kg?

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter48: Applications Of Formulas To Spur Gears
Section: Chapter Questions
Problem 66A
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6 According to building specifications and physical measurements, the maximum weight that foundation columns of tall buildings can carry varies directly with the fourth power of their perimeter. In a specific sample check, it was found that a column with a perimeter of 6m could hold a weight of 55 000 kg. a Find the formula that relates the perimeter of the column to the weight it can carry. b Estimate the weight that another column of the same make with a perimeter of 8m can hold. c Calculate the perimeter that a column should have in order to be able to hold 200000 kg?
Transcribed Image Text:6 According to building specifications and physical measurements, the maximum weight that foundation columns of tall buildings can carry varies directly with the fourth power of their perimeter. In a specific sample check, it was found that a column with a perimeter of 6m could hold a weight of 55 000 kg. a Find the formula that relates the perimeter of the column to the weight it can carry. b Estimate the weight that another column of the same make with a perimeter of 8m can hold. c Calculate the perimeter that a column should have in order to be able to hold 200000 kg?
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