Derive the transfer function of the DC motor whose specs are given in the table below....
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Derive the transfer function of the DC motor whose specs are given in the table below. Let us assume that the motor is connected to no load. Hint #1: calculate "K₁" and "K₂" in the equation: T = K₁.Vt - K₂.00. Note: Use the viscous damping coefficient of the motor given in the table below. PittmanExpress 9233S013 Lo-Cog® DC Motor Assembly Data Reference Voltage No-Load Speed Continuous Torque (Max.)' Peak Torque (Stall) Weight Motor Data Torque Constant Back-EMF Constant Resistance Inductance No-Load Current Peak Current (Stall Motor Constant Friction Torque Rotor Inertia Electrical Time Constant Mechanical Time Constant Viscous Damping Damping Constant Maximum Winding Temperature Thermal Impedance Thermal Time Constant Symbol E S Tc Tx Wu Kr K R₁ L 1-2-362023 2 Units V rpm (radis) oz-in (N-m) oz-in (N-m) az (g) oz-in/A (N-m/A) V/krpm (V/rad/s) Q mH A A oz-in/\W (N-m/W) oz-in (N-m) oz-in-s' (kg-m²) ms ms oz-in/krpm (N-m-s) oz-in/krpm (N-m-s) °F (°C) F/watt (C/watt) min 5,993 4.7 32 9 5.28 3.90 Value 24 2.66 0.60 4.6E-04 0.034 5.2 311 66.4 (3.73E-02) (3.73E-02) (628) (3.3E-02) (2.2E-01) (252) 3.94 3.29 0.15 6.09 (1.88E-02) (4.2E-03) (3.2E-06) 0.84 11.1 (2.3E-06) (3.5E-04) (155) (19.1) Derive the transfer function of the DC motor whose specs are given in the table below. Let us assume that the motor is connected to no load. Hint #1: calculate "K₁" and "K₂" in the equation: T = K₁.Vt - K₂.00. Note: Use the viscous damping coefficient of the motor given in the table below. PittmanExpress 9233S013 Lo-Cog® DC Motor Assembly Data Reference Voltage No-Load Speed Continuous Torque (Max.)' Peak Torque (Stall) Weight Motor Data Torque Constant Back-EMF Constant Resistance Inductance No-Load Current Peak Current (Stall Motor Constant Friction Torque Rotor Inertia Electrical Time Constant Mechanical Time Constant Viscous Damping Damping Constant Maximum Winding Temperature Thermal Impedance Thermal Time Constant Symbol E S Tc Tx Wu Kr K R₁ L 1-2-362023 2 Units V rpm (radis) oz-in (N-m) oz-in (N-m) az (g) oz-in/A (N-m/A) V/krpm (V/rad/s) Q mH A A oz-in/\W (N-m/W) oz-in (N-m) oz-in-s' (kg-m²) ms ms oz-in/krpm (N-m-s) oz-in/krpm (N-m-s) °F (°C) F/watt (C/watt) min 5,993 4.7 32 9 5.28 3.90 Value 24 2.66 0.60 4.6E-04 0.034 5.2 311 66.4 (3.73E-02) (3.73E-02) (628) (3.3E-02) (2.2E-01) (252) 3.94 3.29 0.15 6.09 (1.88E-02) (4.2E-03) (3.2E-06) 0.84 11.1 (2.3E-06) (3.5E-04) (155) (19.1)
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The given DC motor data provides us with the parameters needed to calculate the constants K1 and K2 for the equation T K1Vt K2omega where T is the motor torque Vt is the terminal voltage applied to th... View the full answer
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