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Basic Math/Car Engine's Angular Speed

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Expert: Josh - 11/20/2007


Question
The engine of a sports car rotates at 5,000 revolutions per minute (rpm). Calculate the angular speed of the engine in radians per second. Use 2p radians = 1 revolution.


Answer
Hi James

The conversion formulas we need are:
 60 second/minute OR 1/60 [min/sec]
 2*pi radian/revolution

To go from 5000 [rev/min] to ?? [rad/sec], we calculate
5000 [rev/min] x 2*pi [rad/rev] x 1/60 [min/sec]

Observe that the units cancel as though they are fractions, this leaves us with [rad/sec].

Answer: We get 5000 x 2*pi /60 [rad/sec]

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Josh

Expertise

When I work through problems, I like to emphasize concepts which I believe are worth noting. I will try to answer questions in the following areas, but not at the advanced level. Algebra. Sequences & Series. Trigonometry. Functions & Graphs. Coordinate Geometry. Quadratic Polynomials. Exponential & Logarithms. Basic Calculus. Probability, Permutation and Combination. Mathematical Induction. Complex numbers. Physics problems.

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I have worked as a teaching assistant in college. My hope is that more people will share knowledge without boundary, give help without seeking recognition or monetary rewards.

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Bachelor degree in Engineering Science

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