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


   



Question 504519: in studying the frictional effects on a flywheel, the revolutions per minute R that it makes as a function of the time ( in minutes) is given by R = 4520(0.750)^2.50t. Find t for R = 1950 r/min.
Answer by lwsshak3(11628) About Me  (Show Source):
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n studying the frictional effects on a flywheel, the revolutions per minute R that it makes as a function of the time ( in minutes) is given by R = 4520(0.750)^2.50t. Find t for R = 1950 r/min
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R = 4520(0.750)^2.50t
1950= 4520(0.750)^2.50t
(0.750)^2.50t=1950/4520=0.4314
take log of both sides
2.5t log(0.750)=log(0.4314)
2.5t=log(0.4314)/ log(0.750)=2.9224
t=2.9224/2.5=1.1690 minutes