5.2 d=67 mm. ₁ = 1660 rad/s, w₂ = 3017 rad/s. =985.3 rad/s, w₂ = 2949 rad/s. 1153 rad/s, w, 5.3 5.4 5.5 5.6 = 1703 rad/s. 1521.6 rad/s, ₂ = 432.8 rad/s. 5.7 482.3 rad/s. 5.8 74mm. 5.9 No unique solution. 5.10 58mm. 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 GN/m2. The design speed is 10 000 rpm. Determine the shaft diameter so that the first critical speed is 12 000 rpm giving a safety margin of 2000 rpm. Use Rayleigh's equation and assume rigid bearings and a massless shaft. Compressor impeller Bearing 0? Bearing Turbine 254 mm 254 mm 254 mm Figur 1.3: Turbine shaft.
5.2 d=67 mm. ₁ = 1660 rad/s, w₂ = 3017 rad/s. =985.3 rad/s, w₂ = 2949 rad/s. 1153 rad/s, w, 5.3 5.4 5.5 5.6 = 1703 rad/s. 1521.6 rad/s, ₂ = 432.8 rad/s. 5.7 482.3 rad/s. 5.8 74mm. 5.9 No unique solution. 5.10 58mm. 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 GN/m2. The design speed is 10 000 rpm. Determine the shaft diameter so that the first critical speed is 12 000 rpm giving a safety margin of 2000 rpm. Use Rayleigh's equation and assume rigid bearings and a massless shaft. Compressor impeller Bearing 0? Bearing Turbine 254 mm 254 mm 254 mm Figur 1.3: Turbine shaft.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:5.2 d=67 mm.
₁ = 1660 rad/s, w₂ = 3017 rad/s.
=985.3 rad/s, w₂ = 2949 rad/s.
1153 rad/s, w,
5.3
5.4
5.5
5.6
=
1703 rad/s.
1521.6 rad/s, ₂ = 432.8 rad/s.
5.7 482.3 rad/s.
5.8
74mm.
5.9 No unique solution.
5.10 58mm.
Transcribed Image Text: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 GN/m2. The design speed
is 10 000 rpm.
Determine the shaft diameter so that the first critical speed is 12 000 rpm giving a safety margin
of 2000 rpm.
Use Rayleigh's equation and assume rigid bearings and a massless shaft.
Compressor impeller
Bearing
0?
Bearing
Turbine
254 mm
254 mm
254 mm
Figur 1.3: Turbine shaft.
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