SOLUTION: In studying the frictional effects on a flywheel, the revolutions per minute R that is makes as a function of the time T (in min)is given by R = 4520(0.750)^2.50T. Find T for R =

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: In studying the frictional effects on a flywheel, the revolutions per minute R that is makes as a function of the time T (in min)is given by R = 4520(0.750)^2.50T. Find T for R =       Log On


   

Question 152841This question is from textbook basic technical mathematics with calculus
: In studying the frictional effects on a flywheel, the revolutions per minute R that is makes as a function of the time T (in min)is given by R = 4520(0.750)^2.50T. Find T for R = 1950 R/min. This question is from textbook basic technical mathematics with calculus

Answer by orca(409) About Me  (Show Source):
You can put this solution on YOUR website!
R=4520%280.75%29%5E%282.5T%29
lnR=ln4520%2B2.5Tln0.75
Solving for T,we have
2.5Tlno.75=lnR-ln4520
T=%28lnR-ln4520%29%2F%282.5ln0.75%29
T=%28ln%28R%2F4520%29%29%2F%282.5ln0.75%29
Substituting R = 1950 into the formula and evalute, we have
T=%28ln%281950%2F4520%29%29%2F%282.5ln0.75%29=%28-0.841%29%2F%282.5%2A%28-0.288%29%29=1.168