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Analisa percobaan
- 1. Analisa Percobaan Hasil pengukuran untuk tegangan sumber 220 volt Dari hasil perhitungan 1) Untuk T = 0,2 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟓퟐퟎ 푷풊풏 = ퟗퟎퟎ, ퟔퟔ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟓퟎퟐ, ퟕ) ퟔퟎ × ퟎ, ퟐ 푷풐풖풕 = ퟑퟏ, ퟒퟕ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟑퟏ, ퟒퟕ ퟗퟎퟎ, ퟔퟔ × ퟏퟎퟎ% 흁 = ퟑ, ퟒퟗ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟓퟎퟐ,ퟕ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= −ퟎ, ퟏퟖ% 2) Untuk T = 1 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟔퟏퟎ 푷풊풏 = ퟏퟎퟓퟔ, ퟓퟓ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟗퟑ, ퟏ) ퟔퟎ × ퟏ 푷풐풖풕 = ퟏퟓퟔ, ퟑퟔ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟏퟓퟔ, ퟑퟔ ퟏퟎퟓퟔ, ퟓퟓ × ퟏퟎퟎ% 흁 = ퟏퟒ, ퟕퟗ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟗퟑ,ퟏ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟎ, ퟒퟔ
- 2. 3) Untuk T = 2 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟕퟑퟓ 푷풊풏 = ퟏퟐퟕퟑ, ퟓ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟕퟔ, ퟓ) ퟔퟎ × ퟐ 푷풐풖풕 = ퟑퟎퟗ, ퟐퟒ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟑퟎퟗ, ퟐퟒ ퟏퟐퟕퟑ, ퟎퟓ × ퟏퟎퟎ% 흁 = ퟐퟒ, ퟐퟗ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟕퟔ,ퟓ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟏ, ퟓퟔ % 4) Untuk T = 3 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × 840 푷풊풏 = ퟏퟒퟓퟒ, ퟗퟐ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟕퟏ, ퟓ) ퟔퟎ × ퟑ 푷풐풖풕 = ퟒퟔퟐ, ퟐퟗ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟒퟔퟐ, ퟐퟗ ퟏퟒퟓퟒ, ퟗퟐ × ퟏퟎퟎ% 흁 = ퟑퟏ, ퟕퟕ % S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟕퟏ,ퟓ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟏ, ퟗퟕ %
- 3. 5) Untuk T = 4 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟗퟐퟎ 푷풊풏 = ퟏퟓퟗퟑ, ퟖ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟔퟐ, ퟏ) ퟔퟎ × ퟒ 푷풐풖풕 = ퟔퟏퟐ, ퟒퟒ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟔퟏퟐ, ퟒퟒ ퟏퟓퟗퟑ, ퟗ × ퟏퟎퟎ% 흁 = ퟑퟖ, ퟒퟑ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟔퟐ,ퟏ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟐ, ퟓퟑ % 6) Untuk T = 5 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × 980 푷풊풏 = ퟏퟔퟗퟕ, ퟒퟏ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟒퟗ, ퟑ) ퟔퟎ × ퟓ 푷풐풖풕 = ퟕퟓퟖ, ퟖퟓ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟕퟓퟖ, ퟖퟓ ퟏퟔퟗퟕ, ퟒퟏ × ퟏퟎퟎ% 흁 = ퟒퟒ, ퟕퟏ % S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟒퟗ,ퟑ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟑ, ퟑퟖ %
- 4. 7) Untuk T = 6 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × 1060 푷풊풏 = ퟏퟖퟑퟓ, ퟗퟕ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟒퟏ, ퟒ) ퟔퟎ × ퟔ 푷풐풖풕 = ퟗퟎퟓ, ퟔퟔ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟗퟎퟓ, ퟔퟔ ퟏퟖퟑퟓ, ퟗퟕ × ퟏퟎퟎ% 흁 = ퟒퟗ, ퟑퟑ % S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟒퟏ,ퟒ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟑ, ퟗퟏ % 8) Untuk T = 7 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × 1150 푷풊풏 = ퟏퟗퟗퟏ, ퟖퟓ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟑퟐ, ퟏ) ퟔퟎ × ퟕ 푷풐풖풕 = ퟏퟎퟒퟗ, ퟕퟖ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟏퟎퟒퟗ, ퟕퟖ ퟏퟗퟗퟏ, ퟖퟓ × ퟏퟎퟎ% 흁 = ퟓퟐ, ퟕퟎ % S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟑퟐ,ퟏ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟒ, ퟓퟑ %
- 5. 9) Untuk T = 8 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × 1275 푷풊풏 = ퟐퟐퟎퟖ, ퟑퟔ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟏퟔ, ퟑ) ퟔퟎ × ퟖ 푷풐풖풕 = ퟏퟏퟖퟔ, ퟓퟐ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟏퟏퟖퟔ, ퟓퟐ ퟐퟐퟎퟖ, ퟑퟔ × ퟏퟎퟎ% 흁 = ퟓퟑ, ퟕퟑ % S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟏퟔ,ퟑ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟓ, ퟓퟖ % 10) Untuk T = 9 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × 1400 푷풊풏 = ퟐퟒퟐퟒ, ퟖퟕ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟎퟎ) ퟔퟎ × ퟗ 푷풐풖풕 = ퟏퟑퟏퟗ, ퟒퟕ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟏퟑퟏퟗ, ퟒퟕ ퟐퟒퟐퟒ, ퟖퟕ × ퟏퟎퟎ% 흁 = ퟓퟒ, ퟒ % S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟎퟎ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟔ, ퟔퟕ %
- 6. Analisa Percobaan Hasil pengukuran untuk tegangan sumber 176 volt Dari hasil perhitungan 1) Untuk T = 2 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟓퟐퟓ 푷풊풏 = ퟗퟎퟗ, ퟑퟑ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟓퟕ, ퟕ) ퟔퟎ × ퟐ 푷풐풖풕 = ퟑퟎퟓ, ퟑퟎ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟑퟎퟓ, ퟑퟎ ퟗퟎퟗ, ퟑퟑ × ퟏퟎퟎ% 흁 = ퟑퟑ, ퟓퟕ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟓퟕ,ퟕ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟐ, ퟖퟐ% 2) Untuk T = 3 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟔퟓퟎ 푷풊풏 = ퟏퟏퟐퟓ, ퟖퟑ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟒퟒ, ퟖ) ퟔퟎ × ퟑ 푷풐풖풕 = ퟒퟓퟑ, ퟖퟗ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟒퟓퟑ, ퟖퟗ ퟏퟏퟐퟓ, ퟖퟑ × ퟏퟎퟎ% 흁 = ퟒퟎ, ퟑퟐ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟒퟒ,ퟖ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟑ, ퟔퟖ%
- 7. 3) Untuk T = 4 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟕퟓퟎ 푷풊풏 = ퟏퟐퟗퟗ, ퟎퟑ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟐퟕ, ퟖ) ퟔퟎ × ퟒ 푷풐풖풕 = ퟓퟗퟖ, ퟎퟖ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟓퟗퟖ, ퟎퟖ ퟏퟐퟗퟗ, ퟎퟑ × ퟏퟎퟎ% 흁 = ퟒퟔ, ퟎퟒ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟐퟕ,ퟖ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟒ, ퟖퟏ% 4) Untuk T = 5 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟖퟐퟓ 푷풊풏 = ퟏퟒퟐퟖ, ퟗퟒ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟒퟏퟐ, ퟕ) ퟔퟎ × ퟓ 푷풐풖풕 = ퟕퟑퟗ, ퟔퟗ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟕퟑퟗ, ퟔퟗ ퟏퟒퟐퟖ, ퟗퟒ × ퟏퟎퟎ% 흁 = ퟓퟏ, ퟕퟔ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟒퟏퟐ,ퟕ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟓ, ퟖퟐ%
- 8. 5) Untuk T = 6 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟗퟐퟓ 푷풊풏 = ퟏퟔퟎퟐ, ퟏퟒ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟑퟗퟐ, ퟔ) ퟔퟎ × ퟔ 푷풐풖풕 = ퟖퟕퟒ, ퟗퟗ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟖퟕퟒ, ퟗퟗ ퟏퟔퟎퟐ, ퟏퟒ × ퟏퟎퟎ% 흁 = ퟓퟒ, ퟔퟏ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟑퟗퟐ,ퟔ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟕ, ퟏퟔ% 6) Untuk T = 7 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟏퟎퟓퟎ 푷풊풏 = ퟏퟖퟏퟖ, ퟔퟓ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟑퟕퟓ, ퟒ) ퟔퟎ × ퟕ 푷풐풖풕 = ퟏퟎퟎퟖ, ퟐퟐ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟏퟎퟎퟖ, ퟐퟐ ퟏퟖퟏퟖ, ퟔퟓ × ퟏퟎퟎ% 흁 = ퟓퟓ, ퟒퟓ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟑퟕퟓ,ퟒ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟖ, ퟑퟏ%
- 9. 7) Untuk T = 7,6 Nm 푷풊풏 = √ퟑ × 푷 푷풊풏 = √ퟑ × ퟏퟏퟓퟎ 푷풊풏 = ퟏퟗퟗퟏ, ퟖ 푾퐚퐭퐭 푷풐풖풕 = ퟐ흅풏ퟐ ퟔퟎ × 푴 푷풐풖풕 = ퟐ흅 (ퟏퟑퟓퟒ, ퟕ) ퟔퟎ × ퟕ, ퟔ 푷풐풖풕 = ퟏퟎퟕퟖ, ퟏퟕ 푾퐚퐭퐭 흁 = 푷풐풖풕 푷풊풏 × ퟏퟎퟎ% 흁 = ퟏퟎퟕퟖ, ퟏퟕ ퟏퟗퟗퟏ, ퟖ × ퟏퟎퟎ% 흁 = ퟓퟒ, ퟏퟑ% S= 풏ퟏ −풏ퟐ 풏ퟏ × ퟏퟎퟎ% S= ퟏퟓퟎퟎ−ퟏퟑퟓퟒ,ퟕ ퟏퟓퟎퟎ × ퟏퟎퟎ% S= ퟗ, ퟔퟗ%
- 10. Hasil perhitungan Torsi pada 푽풔 = ퟐퟐퟎ 풗풐풍풕 terhadap torsi pada 푽풔 = ퟏퟕퟔ 풗풐풍풕 1) Untuk T = 2 Nm , S = 2,82% 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × 푻ퟏퟕퟔ [푵풎] 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × ퟐ 푻ퟐퟐퟎ = ퟑ, ퟏퟐퟓ[푵풎] 2) Untuk T = 3 Nm , S = 3,68% 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × 푻ퟏퟕퟔ [푵풎] 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × ퟑ, ퟔퟖ 푻ퟐퟐퟎ = ퟒ, ퟔퟖퟕퟓ[푵풎] 3) Untuk T = 4 Nm , S = 4,81% 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × 푻ퟏퟕퟔ [푵풎] 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × ퟒ, ퟖퟏ 푻ퟐퟐퟎ = ퟔ, ퟐퟓ[푵풎] 4) Untuk T = 5 Nm , S = 5,82% 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × 푻ퟏퟕퟔ [푵풎] 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × ퟓ 푻ퟐퟐퟎ = ퟕ, ퟖퟏퟐퟓ[푵풎] 5) Untuk T = 6 Nm , S = 7,16% 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × 푻ퟏퟕퟔ [푵풎] 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × ퟔ 푻ퟐퟐퟎ = ퟗ, ퟑퟕퟓ[푵풎] 6) Untuk T = 7 Nm , S = 8,31% 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × 푻ퟏퟕퟔ [푵풎] 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × ퟕ 푻ퟐퟐퟎ = ퟏퟎ, ퟗퟒ[푵풎] 7) Untuk T = 7,6 Nm , S = 9,69% 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × 푻ퟏퟕퟔ [푵풎] 푻ퟐퟐퟎ = ( ퟐퟐퟎ ퟏퟕퟔ ) ퟐ × ퟕ, ퟔ 푻ퟐퟐퟎ = ퟏퟏ, ퟖퟕퟓ[푵풎]