A motor (located at C) provides 50kW of power which is then used by pulleys A and B. When the motor is running, the transmission shaft (which is made of Cr-Ni steel and has a diameter of 5cm) starts rotating at a speed of 200 rpm.1) Find the moment of force at pulleys A, B and C. 2) Find the torque in each section (between the pulleys). 3) What is the safety factor of the driveshaft on the ultimate limit? Roulement à billes20 kWA1,2 m50 kW30 kWoB*0,4 m →ARoulement à billes Cr-NisteelCompos, tionCompositionAAcier AISI 1020Acier AISI 1045Acier AISI 1095Acier G40.21Acier 0,6% CAcier 3,5% NiAcier Cr-NiTableau B.1: Propriétés physiques de quelques matériauxUltimate limits Elastic limits Characteristic propretiesLimites ultimesLimites élastiquesAcier inoxydable 304Fer forgéFonte cl. 20Fonte cl. 40Fonte cl. 60Al 3003-H14Al 6061-T6Al 6351-T6Al 7075-T6CuAlliage MgLaitonJUTσυcMPa MPa448448655655979979448448760760760760*8958955795793243241382764143102905383932904215528621172255205TuMPaMPa345310483414724 572345585450262221379448OLET OLEC25514027531041538076024119397145207276170 255317462TLEMPa MPa338205345310414572310415380760241193255195225250205450150110Propriétés caractéristiquesGEGPa GPa x10-6/°Ca2077920779207792072002002001901937611013169697272103451037977777776693138552626272839184011,711,711,711,711,711,711,717,311,511,311,311,323,223,623,623,616,618,7fl0,2880,2880,2880,2880,2880,2880,2880,3050,2780,2700,2700,2700,3300,3300,3300,3300,3550,340

GivenPC=50kWPB=30kWPA=20kWN=200 rpmd=5cm

Answered: A motor (located at C) provides 50kW of…

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_{A motor (located at C) provides 50kW of power which is then used by pulleys A and B. When the motor is running, the transmission shaft (which is made of Cr-Ni steel and has a diameter of 5cm) starts rotating at a speed of 200 rpm.}

_{1) Find the moment of force at pulleys A, B and C.}

_{2) Find the torque in each section (between the pulleys).}

_{3) What is the safety factor of the driveshaft on the ultimate limit?}

Roulement à billes
20 kW
A
1,2 m
50 kW
30 kW
o
B
*
0,4 m →
A
Roulement à billes

Cr-Ni
steel
Compos, tion
Composition
A
Acier AISI 1020
Acier AISI 1045
Acier AISI 1095
Acier G40.21
Acier 0,6% C
Acier 3,5% Ni
Acier Cr-Ni
Tableau B.1: Propriétés physiques de quelques matériaux
Ultimate limits Elastic limits Characteristic propreties
Limites ultimes
Limites élastiques
Acier inoxydable 304
Fer forgé
Fonte cl. 20
Fonte cl. 40
Fonte cl. 60
Al 3003-H14
Al 6061-T6
Al 6351-T6
Al 7075-T6
Cu
Alliage Mg
Laiton
JUT
συc
MPa MPa
448
448
655
655
979
979
448
448
760
760
760
760*
895
895
579
579
324
324
138
276
414
310
290
538
393
290
421
552
862
1172
255
205
Tu
MPa
MPa
345
310
483
414
724 572
345
585
450
262
221
379
448
OLET OLEC
255
140
275
310
415
380
760
241
193
97
145
207
276
170 255
317
462
TLE
MPa MPa
338
205
345
310
414
572
310
415
380
760
241
193
255
195
225
250
205
450
150
110
Propriétés caractéristiques
G
E
GPa GPa x10-6/°C
a
207
79
207
79
207
79
207
200
200
200
190
193
76
110
131
69
69
72
72
103
45
103
79
77
77
77
76
69
31
38
55
26
26
27
28
39
18
40
11,7
11,7
11,7
11,7
11,7
11,7
11,7
17,3
11,5
11,3
11,3
11,3
23,2
23,6
23,6
23,6
16,6
18,7
fl
0,288
0,288
0,288
0,288
0,288
0,288
0,288
0,305
0,278
0,270
0,270
0,270
0,330
0,330
0,330
0,330
0,355
0,340

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Can you give a more detailled explanation for part C and answer to the following question please:

What is the twist angle (in degrees) of pulley A with respect to pulley C?

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