Question: A 2 2 . 6 3 kg compressor impeller wheel is driven by a 1 3 . 5 6 kg turbine mounted on a common

A 22.63 kg compressor impeller wheel is driven by a 13.56 kg turbine mounted on a common shaft (see Figure 1.3) manufactured from steel with Young's modulus E \(=207\mathrm{GN}/\mathrm{m}2\). The design speed is 10000 rpm .
Determine the shaft diameter so that the first critical speed is \(\mathbf{12000}\) rpm giving a safety margin of 2000 rpm .
Use Rayleigh's equation and assume rigid bearings and a massless shaft.
A 2 2 . 6 3 kg compressor impeller wheel is

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