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In order to get a weight reduction, a 15 cm diameter solid steel shaft rotating at 150 rpm. The shaft is 3 meters long and the density of steel is 8.05 g/cm3. This shaft is replaced by a Titanium (p = 4.506 g/cm3) tube with a 15 cm OD and an 10 cm ID. Determine the reduction in kinetic energy in this system.

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In order to get a weight reduction, a 15 cm diameter solid steel shaft rotating at-example-1
In order to get a weight reduction, a 15 cm diameter solid steel shaft rotating at-example-2
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