Three shafts and three gears are used to form a gear train that will transmit power from the motor at A to a machine tool at E (bearings for the shafts are omitted in the sketch). AB is a hollow titanium (G = 44 GPa) shaft with outer diameter di and thickness 20 mm, BC is solid steel (G = 78 GPa) shaft with diameter dz, while DE is solid brass (G = 41 GPa) shaft with diameter dz. The powers utilized by gears B and C are Peand Pc, respectively. The diameters of gears B, C, and D are da, de, and do, respectively. Determine the following: a) power (kW) supplied by the motor at A if it rotates 24 cycles per second b) torque (kN-mm) taken at E c) assuming that E is a fixed end, the angle of rotation (*) of gear C PB = 9.8 kW PC = 8.4 kW dB = 108 mm A D dc = 164 mm dD = 104 mm B di dz E d1 = 88 mm d2 = 64 mm LAB= 800 mm Lạc= 750 mm LoE= 650 mm

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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Three shafts and three gears are used to form a gear train that will transmit power from the
motor at A to a machine tool at E (bearings for the shafts are omitted in the sketch). AB is a
hollow titanium (G = 44 GPa) shaft with outer diameter diı and thickness 20 mm, BC is solid steel
(G = 78 GPa) shaft with diameter d2, while DE is solid brass (G = 41 GPa) shaft with diameter d2.
The powers utilized by gears B and C are Pa and Pc, respectively. The diameters of gears B, C,
and D are de, do, and do, respectively. Determine the following:
a) power (kW) supplied by the motor at A if it rotates 24 cycles per second
b) torque (kN-mm) taken at E
c) assuming that E is a fixed end, the angle of rotation (*) of gear C
PB = 9.8 kW
PC = 8.4 kW
dB = 108 mm
dc = 164 mm
dD = 104 mm
A
D
d2 E
d1 = 88 mm
d2 = 64 mm
LAB= 800 mm
Lac= 750 mm
Log= 650 mm
B.
Transcribed Image Text:Three shafts and three gears are used to form a gear train that will transmit power from the motor at A to a machine tool at E (bearings for the shafts are omitted in the sketch). AB is a hollow titanium (G = 44 GPa) shaft with outer diameter diı and thickness 20 mm, BC is solid steel (G = 78 GPa) shaft with diameter d2, while DE is solid brass (G = 41 GPa) shaft with diameter d2. The powers utilized by gears B and C are Pa and Pc, respectively. The diameters of gears B, C, and D are de, do, and do, respectively. Determine the following: a) power (kW) supplied by the motor at A if it rotates 24 cycles per second b) torque (kN-mm) taken at E c) assuming that E is a fixed end, the angle of rotation (*) of gear C PB = 9.8 kW PC = 8.4 kW dB = 108 mm dc = 164 mm dD = 104 mm A D d2 E d1 = 88 mm d2 = 64 mm LAB= 800 mm Lac= 750 mm Log= 650 mm B.
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