Set up systems of equations and solve by any appropriate method. All numbers are accurate to at least two significant digits.

As a 40-ft pulley belt makes one revolution, one of the two pulley wheels makes one more revolution than the other. Another wheel of half the radius replaces the smaller wheel and makes six more revolutions than the larger wheel for one revolution of the belt. Find the circumferences of the wheels. See Fig. 5.55.

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C₁ C₁ Fig. 5.55 C₂ -Belt length = 40 ft C3