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A stroboscopi...

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A stroboscopic system is used for measuring the speed of a rotating shaft. The shaft has one target mark on it. The maximum strobe rate at which synchronism is achieved is $r_{1}$ flashes per minute. The next lower flash rate at which synchronism is achieved is $r_{2}$ flashes per minute. The speed of the shaft in rpm is

A

\frac{r_{1} r_{2}}{r_{1} - r_{2}}

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B

\frac{r_{1} r_{2}}{r_{1} + r_{2}}

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C

\frac{r_{2}^{2}}{r_{1} + r_{2}}

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D

\frac{r_{1}^{2}}{r_{1} + r_{2}}

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Solution

The correct option is A $\frac{r_{1} r_{2}}{r_{1} - r_{2}}$
$\frac{r_{1} r_{2}}{r_{1} - r_{2}}$

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