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VOTAJE

#VUELTAS

PRESION[π‘˜π‘”π‘“β„π‘π‘š2 ]

PRESION[π‘ƒπ‘Ž]

1

1016.0

97.7

938.1

4.0

5.70

1.10

107873

2

981.5

196.0

967.8

4.8

6.50

1.38

135331,8

3

991.5

968.8

981.5

5.2

6.80

1.50

147100

4

1032.0

800.9

1022.0

5.5

7.40

1.85

176520

5

1868.0

1564.0

1864.0

5.0

7.85

2.15

210843

NΒ°

CALCULO DE LOS DATOS Calculando la velocidad angular: π‘Š=

π‘ˆπ‘ + π·π‘œπ‘€π‘› [π‘Ÿπ‘π‘š] 2

π‘Š1 =

1016.0 + 97.7 π‘Ÿπ‘’π‘£ 2πœ‹[π‘Ÿπ‘Žπ‘‘] 1[π‘šπ‘–π‘›] = 556.85 [ Γ— = 58.31[π‘Ÿπ‘Žπ‘‘β„π‘ ] ]Γ— 2 π‘šπ‘–π‘› 1[π‘Ÿπ‘’π‘£] 60[𝑠]

π‘Š2 =

981.5 + 196.0 π‘Ÿπ‘’π‘£ 2πœ‹[π‘Ÿπ‘Žπ‘‘] 1[π‘šπ‘–π‘›] = 588.75 [ Γ— = 61.65[π‘Ÿπ‘Žπ‘‘β„π‘ ] ]Γ— 2 π‘šπ‘–π‘› 1[π‘Ÿπ‘’π‘£] 60[𝑠]

π‘Š3 =

991.5 + 968.8 π‘Ÿπ‘’π‘£ 2πœ‹[π‘Ÿπ‘Žπ‘‘] 1[π‘šπ‘–π‘›] = 980.15 [ Γ— = 102.64[π‘Ÿπ‘Žπ‘‘β„π‘ ] ]Γ— 2 π‘šπ‘–π‘› 1[π‘Ÿπ‘’π‘£] 60[𝑠]

π‘Š4 =

1032.0 + 800.9 π‘Ÿπ‘’π‘£ 2πœ‹[π‘Ÿπ‘Žπ‘‘] 1[π‘šπ‘–π‘›] = 916.45 [ Γ— = 95.97[π‘Ÿπ‘Žπ‘‘β„π‘ ] ]Γ— 2 π‘šπ‘–π‘› 1[π‘Ÿπ‘’π‘£] 60[𝑠]

π‘Š5 =

1868.0 + 1564.0 π‘Ÿπ‘’π‘£ 2πœ‹[π‘Ÿπ‘Žπ‘‘] 1[π‘šπ‘–π‘›] = 1716 [ Γ— = 176.70[π‘Ÿπ‘Žπ‘‘β„π‘ ] ]Γ— 2 π‘šπ‘–π‘› 1[π‘Ÿπ‘’π‘£] 60[𝑠]

Calculando la velocidad angular promedio: W=99.054 CALCULO DEL CAUDAL 𝑄1 =

5.70[π‘£π‘’π‘’π‘™π‘‘π‘Žπ‘ ] 10[π‘’π‘ π‘π‘Žπ‘π‘–π‘œπ‘ ] 0.001[π‘š3 ] 1βŒˆπ‘šπ‘–π‘›βŒ‰ 3 Γ— Γ— Γ— = 0.00095 βŒˆπ‘š β„π‘ βŒ‰ 1βŒˆπ‘šπ‘–π‘›βŒ‰ 1[π‘£π‘’π‘’π‘™π‘‘π‘Ž] 1[π‘’π‘ π‘π‘Žπ‘π‘–π‘œπ‘ ] 60βŒˆπ‘ βŒ‰

𝑄2 =

6.50[π‘£π‘’π‘’π‘™π‘‘π‘Žπ‘ ] 10[π‘’π‘ π‘π‘Žπ‘π‘–π‘œπ‘ ] 0.001[π‘š3 ] 1βŒˆπ‘šπ‘–π‘›βŒ‰ 3 Γ— Γ— Γ— = 0.00108 βŒˆπ‘š β„π‘ βŒ‰ 1βŒˆπ‘šπ‘–π‘›βŒ‰ 1[π‘£π‘’π‘’π‘™π‘‘π‘Ž] 1[π‘’π‘ π‘π‘Žπ‘π‘–π‘œπ‘ ] 60βŒˆπ‘ βŒ‰

𝑄3 =

6.80[π‘£π‘’π‘’π‘™π‘‘π‘Žπ‘ ] 10[π‘’π‘ π‘π‘Žπ‘π‘–π‘œπ‘ ] 0.001[π‘š3 ] 1βŒˆπ‘šπ‘–π‘›βŒ‰ 3 Γ— Γ— Γ— = 0.00113 βŒˆπ‘š β„π‘ βŒ‰ 1βŒˆπ‘šπ‘–π‘›βŒ‰ 1[π‘£π‘’π‘’π‘™π‘‘π‘Ž] 1[π‘’π‘ π‘π‘Žπ‘π‘–π‘œπ‘ ] 60βŒˆπ‘ βŒ‰

𝑄4 =

7.40[π‘£π‘’π‘’π‘™π‘‘π‘Žπ‘ ] 10[π‘’π‘ π‘π‘Žπ‘π‘–π‘œπ‘ ] 0.001[π‘š3 ] 1βŒˆπ‘šπ‘–π‘›βŒ‰ 3 Γ— Γ— Γ— = 0.00123 βŒˆπ‘š β„π‘ βŒ‰ 1βŒˆπ‘šπ‘–π‘›βŒ‰ 1[π‘£π‘’π‘’π‘™π‘‘π‘Ž] 1[π‘’π‘ π‘π‘Žπ‘π‘–π‘œπ‘ ] 60βŒˆπ‘ βŒ‰

𝑄5 =

7.85[π‘£π‘’π‘’π‘™π‘‘π‘Žπ‘ ] 10[π‘’π‘ π‘π‘Žπ‘π‘–π‘œπ‘ ] 0.001[π‘š3 ] 1βŒˆπ‘šπ‘–π‘›βŒ‰ 3 Γ— Γ— Γ— = 0.00131 βŒˆπ‘š β„π‘ βŒ‰ 1βŒˆπ‘šπ‘–π‘›βŒ‰ 1[π‘£π‘’π‘’π‘™π‘‘π‘Ž] 1[π‘’π‘ π‘π‘Žπ‘π‘–π‘œπ‘ ] 60βŒˆπ‘ βŒ‰

CALCULO DE LAS POTENCIAS 1. 𝑃𝑀 = π‘ƒπ‘Ÿ Γ— 𝑄 [π‘Š] 𝑃𝑀 = 107873 Γ— 0.00095 = 102.48 [π‘Š] 𝑃𝑀𝑒𝑐 = 𝑃𝑀 Γ— 0.7 [π‘Š] 𝑃𝑀𝑒𝑐 = 102.48 Γ— 0.7 = 71.74[π‘Š] 𝑃𝐺𝑒𝑛 = 𝑃𝑀𝑒𝑐 Γ— 0.6 [π‘Š] 𝑃𝐺𝑒𝑛 = 71.74 Γ— 0.6 = 43.04[π‘Š] 𝑃𝐸𝑙𝑒𝑐 = 𝑉 Γ— 𝐼 [π‘Š] 𝑃𝐸𝑙𝑒𝑐 = [π‘Š] 2. 𝑃𝑀 = π‘ƒπ‘Ÿ Γ— 𝑄 [π‘Š] 𝑃𝑀 = 135331,8 Γ— 0.00108 = 146.16 [π‘Š] 𝑃𝑀𝑒𝑐 = 𝑃𝑀 Γ— 0.7 [π‘Š] 𝑃𝑀𝑒𝑐 = 146.16 Γ— 0.7 = 102.31[π‘Š] 𝑃𝐺𝑒𝑛 = 𝑃𝑀𝑒𝑐 Γ— 0.6 [π‘Š] 𝑃𝐺𝑒𝑛 = 102.31 Γ— 0.6 = 61.39[π‘Š] 𝑃𝐸𝑙𝑒𝑐 = 𝑉 Γ— 𝐼 [π‘Š] 𝑃𝐸𝑙𝑒𝑐 = [π‘Š] 3. 𝑃𝑀 = π‘ƒπ‘Ÿ Γ— 𝑄 [π‘Š] 𝑃𝑀 = 147100 Γ— 0.00113 = 166.22[π‘Š] 𝑃𝑀𝑒𝑐 = 𝑃𝑀 Γ— 0.7 [π‘Š] 𝑃𝑀𝑒𝑐 = 166.22 Γ— 0.7 = 116.36[π‘Š] 𝑃𝐺𝑒𝑛 = 𝑃𝑀𝑒𝑐 Γ— 0.6 [π‘Š] 𝑃𝐺𝑒𝑛 = 116.36 Γ— 0.6 = 69.81[π‘Š] 𝑃𝐸𝑙𝑒𝑐 = 𝑉 Γ— 𝐼 [π‘Š] 𝑃𝐸𝑙𝑒𝑐 = [π‘Š] 4. 𝑃𝑀 = π‘ƒπ‘Ÿ Γ— 𝑄 [π‘Š] 𝑃𝑀 = 176520 Γ— 0.00123 = 217.12[π‘Š]

𝑃𝑀𝑒𝑐 = 𝑃𝑀 Γ— 0.7 [π‘Š] 𝑃𝑀𝑒𝑐 = 217.12 Γ— 0.7 = 151.98 [π‘Š] 𝑃𝐺𝑒𝑛 = 𝑃𝑀𝑒𝑐 Γ— 0.6 [π‘Š] 𝑃𝐺𝑒𝑛 = 151.98 Γ— 0.6 = 91.19[π‘Š] 𝑃𝐸𝑙𝑒𝑐 = 𝑉 Γ— 𝐼 [π‘Š] 𝑃𝐸𝑙𝑒𝑐 = [π‘Š] 5. 𝑃𝑀 = π‘ƒπ‘Ÿ Γ— 𝑄 [π‘Š] 𝑃𝑀 = 210843 Γ— 0.00131 = 276.20[π‘Š] 𝑃𝑀𝑒𝑐 = 𝑃𝑀 Γ— 0.7 [π‘Š] 𝑃𝑀𝑒𝑐 = 276.20 Γ— 0.7 = 193.34[π‘Š] 𝑃𝐺𝑒𝑛 = 𝑃𝑀𝑒𝑐 Γ— 0.6 [π‘Š] 𝑃𝐺𝑒𝑛 = 193.34 Γ— 0.6 = 116.01 [π‘Š] 𝑃𝐸𝑙𝑒𝑐 = 𝑉 Γ— 𝐼 [π‘Š] 𝑃𝐸𝑙𝑒𝑐 = [π‘Š] Calculando el promedio de 𝑃𝑀 : 𝑃𝑀 = 181.64 CALCULO DEL TORQUE 𝑛 𝑇 = 0.7 =

𝑃𝑀𝑒𝑐 𝑇 Γ— π‘Š 0.7 Γ— π‘ƒπ‘Ÿ Γ— 𝑄 0.7 Γ— 181.64 = →𝑇= = = 1.28 𝑃𝑀 π‘ƒπ‘Ÿ Γ— 𝑄 π‘Š 99.054

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