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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 r1 flashes per minute. The next lower flash rate at which synchronism is achieved is r2 flashes per minute. The speed of the shaft in rpm is-1. \(\frac{{{r_1}{r_2}}}{{{r_1} - {r_2}}}\)2. \(\frac{{{r_1}{r_2}}}{{{r_1} + {r_2}}}\)3. \(\frac{{r_2^2}}{{{r_1} + {r_2}}}\)4. \(\frac{{r_1^2}}{{{r_1} + {r_2}}}\)

Answer» Correct Answer - Option 1 : \(\frac{{{r_1}{r_2}}}{{{r_1} - {r_2}}}\)

The maximum strobe rate at which synchronism is achieved = r1 flashes per minute

The next lower flash rate at which synchronism is achieved = r2 flashes per minute

The speed of the shaft in rpm is \(\frac{{{r_1}{r_2}}}{{{r_1} - {r_2}}}\)



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