SOLUTION: 24. The owner of a highway construction company knows that the maximum load a cylindrical column of circular cross section can support varies directly as the fourth power of the di
Algebra.Com
Question 54923This question is from textbook Applied College Algebra
: 24. The owner of a highway construction company knows that the maximum load a cylindrical column of circular cross section can support varies directly as the fourth power of the diameter and inversely as the square of the height. If a column 2 feet in diameter and 10 feet high supports up to 6 tons, how much of a load can a column 3 feet in diameter and 14 feet high support?
This question is from textbook Applied College Algebra
Answer by venugopalramana(3286) (Show Source): You can put this solution on YOUR website!
24. The owner of a highway construction company knows that the maximum load (L SAY)a cylindrical column of circular cross section can support varies directly as the fourth power of the diameter(D SAY) and inversely as the square of the height(H SAY). If a column 2 feet in diameter and 10 feet high supports up to 6 tons, how much of a load can a column 3 feet in diameter and 14 feet high support?
L = K*D^4*1/H^2...WHERE K IS A CONSTANT
CASE 1..
6=K*2^4/10^2=16K/100
K=6*100/16=75/2=37.5
CASE 2
L=37.5*3^4/14^2 = 37.5*81/196 = 15.5 T.
RELATED QUESTIONS
24. The owner of a highway construction company knows that the maximum load a cylindrical (answered by venugopalramana,stanbon)
the roof of a new sports arena rests on round concrete pillars. THe maximum load a... (answered by ankor@dixie-net.com)
Ok, sorry but this word problem is killing me. It's not like any of the others I've... (answered by scott8148,stanbon,Earlsdon)
The maximum load a cylindrical column of a circle cross section can support varies... (answered by josgarithmetic)
A cylindrical package to be sent by a postal service can have a maximum combined length... (answered by solver91311)
A cylindrical package to be sent by a postal service can have a maximum combined length... (answered by josgarithmetic)
A company manufactures two types of​ washers, top load and front load. The company can... (answered by Theo)
Please help me solve this word problem: The sum of the length and girth (circumference... (answered by ankor@dixie-net.com)
Sara is stuck in a circular field , she knows that the area of the circular field is 100... (answered by greenestamps)