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Catégorie :Category: nCreator TI-Nspire
Auteur Author: brihkj
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 2.29 Ko KB
Mis en ligne Uploaded: 26/11/2024 - 05:43:22
Uploadeur Uploader: brihkj (Profil)
Téléchargements Downloads: 2
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4343398
Type : Classeur 3.0.1
Page(s) : 1
Taille Size: 2.29 Ko KB
Mis en ligne Uploaded: 26/11/2024 - 05:43:22
Uploadeur Uploader: brihkj (Profil)
Téléchargements Downloads: 2
Visibilité Visibility: Archive publique
Shortlink : http://ti-pla.net/a4343398
Description
Fichier Nspire généré sur TI-Planet.org.
Compatible OS 3.0 et ultérieurs.
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1. **Parallel Axis Theorem**: I = I_cm + M d² - I: Moment of inertia about a new axis - I_cm: Moment of inertia about the center of mass - M: Mass of the object - d: Distance between the center of mass and the new axis 2. **Torque**: Ä = r F sin¸ - Ä: Torque (N·m) - r: Lever arm (m) - F: Force (N) - ¸: Angle between force and lever arm 3. **Rotational Kinetic Energy**: KE_rot = ½ I ɲ - KE_rot: Rotational kinetic energy (J) - I: Moment of inertia (kg·m²) - É: Angular velocity (rad/s) 4. **Work in Rotational Motion**: W = Ä ¸ - W: Work (J) - Ä: Torque (N·m) - ¸: Angular displacement (rad) 5. **Power in Rotational Motion**: P = Ä É - P: Power (W) - Ä: Torque (N·m) - É: Angular velocity (rad/s) 6. **Moment of Inertia for Common Shapes**: - Rod about center: I = (1/12) M L² - Rod about one end: I = (1/3) M L² - Solid disk about center: I = (1/2) M R² - Solid sphere about center: I = (2/5) M R² - Hollow sphere about center: I = (2/3) M R² - Thin ring about center: I = M R² 7. **Angular Momentum**: L = I É - L: Angular momentum (kg·m²/s) - I: Moment of inertia (kg·m²) - É: Angular velocity (rad/s) 8. **Conservation of Angular Momentum**: I É = I É - For an isolated system, angular momentum is conserved. 9. **Relationship Between Torque and Angular Acceleration**: Ä_net = I ± - Ä_net: Net torque (N·m) - I: Moment of inertia (kg·m²) - ±: Angular acceleration (rad/s²) 10. **Centripetal Force (in Rotational Motion)**: F_c = m ɲ r - F_c: Centripetal force (N) - m: Mass (kg) - É: Angular velocity (rad/s) - r: Radius (m) 11. **Tangential Velocity**: v_t = r É - v_t: Tangential velocity (m/s) - r: Radius (m) - É: Angular velocity (rad/s) 12. **Tangential Acceleration**: a_t = r ± - a_t: Tangential acceleration (m/s²) - r: Radius (m) - ±: Angular acceleration (rad/s²) Made with nCreator - tiplanet.org
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Compatible OS 3.0 et ultérieurs.
<<
1. **Parallel Axis Theorem**: I = I_cm + M d² - I: Moment of inertia about a new axis - I_cm: Moment of inertia about the center of mass - M: Mass of the object - d: Distance between the center of mass and the new axis 2. **Torque**: Ä = r F sin¸ - Ä: Torque (N·m) - r: Lever arm (m) - F: Force (N) - ¸: Angle between force and lever arm 3. **Rotational Kinetic Energy**: KE_rot = ½ I ɲ - KE_rot: Rotational kinetic energy (J) - I: Moment of inertia (kg·m²) - É: Angular velocity (rad/s) 4. **Work in Rotational Motion**: W = Ä ¸ - W: Work (J) - Ä: Torque (N·m) - ¸: Angular displacement (rad) 5. **Power in Rotational Motion**: P = Ä É - P: Power (W) - Ä: Torque (N·m) - É: Angular velocity (rad/s) 6. **Moment of Inertia for Common Shapes**: - Rod about center: I = (1/12) M L² - Rod about one end: I = (1/3) M L² - Solid disk about center: I = (1/2) M R² - Solid sphere about center: I = (2/5) M R² - Hollow sphere about center: I = (2/3) M R² - Thin ring about center: I = M R² 7. **Angular Momentum**: L = I É - L: Angular momentum (kg·m²/s) - I: Moment of inertia (kg·m²) - É: Angular velocity (rad/s) 8. **Conservation of Angular Momentum**: I É = I É - For an isolated system, angular momentum is conserved. 9. **Relationship Between Torque and Angular Acceleration**: Ä_net = I ± - Ä_net: Net torque (N·m) - I: Moment of inertia (kg·m²) - ±: Angular acceleration (rad/s²) 10. **Centripetal Force (in Rotational Motion)**: F_c = m ɲ r - F_c: Centripetal force (N) - m: Mass (kg) - É: Angular velocity (rad/s) - r: Radius (m) 11. **Tangential Velocity**: v_t = r É - v_t: Tangential velocity (m/s) - r: Radius (m) - É: Angular velocity (rad/s) 12. **Tangential Acceleration**: a_t = r ± - a_t: Tangential acceleration (m/s²) - r: Radius (m) - ±: Angular acceleration (rad/s²) Made with nCreator - tiplanet.org
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