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Expert: - 3/5/2007


Question
Mr. Klarreich,
  
      I am working on a calculus problem and I don't know how to set it up and solve for it.  I have a 90 horsepower outboard motor which at full throttle will rotate it's propellers at 5000 revolutions per min.  How can I go about finding the angular speed of the propeller in radians per second?

Thank you for your help, it's much appreciated.

Robert

Answer
Questioner:   Robert
Category:  Advanced Math
Private:  No
 
Subject:  Rotation of Propellers (Calculus)
Question:  Mr. Klarreich,
 
     I am working on a calculus problem and I don't know how to set it up and solve for it.  I have a 90 horsepower outboard motor which at full throttle will rotate its propellers at 5000 revolutions per min.  How can I go about finding the angular speed of the propeller in radians per second?

Thank you for your help, it's much appreciated.

Robert
.....................................
Hi, Robert,

One revolution is 2pi radians.
5000 revs/min is 5000(2pi) radians/minute.
and is 5000(2pi)/60 radians/second.

That should do it.

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Paul Klarreich

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I can answer questions in basic to advanced algebra (theory of equations, complex numbers), precalculus (functions, graphs, exponential, logarithmic, and trigonometric functions and identities), basic probability, and finite mathematics, including mathematical induction. I can also try (but not guarantee) to answer questions on Abstract Algebra -- groups, rings, etc. and Analysis -- sequences, limits, continuity. I won't understand specialized engineering or business jargon.

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I taught at a two-year college for 25 years, including all subjects from algebra to third-semester calculus.

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