A motor has torque constant Kt = 100 Nm A and voltage constant of 12 V(/kilo revolution/min). The armature resistance is 2 Ω. If 24 V voltage is applied to the terminal, what would be (a) the torque at the rotor (b) speed at zero load, and (c) torque at 100 revolution/min. Plot the result as a

Question

A motor has torque constant [latex]K_t[/latex] = 100 Nm A and voltage constant of 12 V(/kilo revolution/min). The armature resistance is 2 Ω. If 24 V voltage is applied to the terminal, what would be (a) the torque at the rotor (b) speed at zero load, and (c) torque at 100 revolution/min. Plot the result as a speed versus torque graph.

Accepted Answer

At zero RPM, the back emf developed

[latex]V_B = 0[/latex]

The armature current

I = [latex]V/R_a[/latex] = 24/2 = 12

Therefore, generated torque

[latex]K_tI[/latex] = 10 × 12 = 120 N-m

At no load, the input voltage is equal to the back emf,

24 = 12 V/(kilo revolution/min) × ω

Hence, the angular speed

ω = 2 kilo revolution/min = 2000 RPM

At 1000 RPM, the back emf is 12 V. Therefore,
Armature current [latex]= \frac{24-12}{2} =6[/latex] A
Torque developed = 6 × 10 = 60 N-m

Question 7.3: A motor has torque constant Kt = 100 Nm A and voltage consta...

Related Answered Questions

Calculate normal electrostatic force exerted on a 1 mm × 1 mm plate of εr = 1.0 for air dielectric and ε0 = 8.85 pF/m or 8.85 × 10^–12 C²/N m² for material. ...

Verified Answer:

Verified Answer:

Ingredients are fed continuously to a paint-drying furnace by a conveyor. To minimize heat loss through the furnace door, it should be opened only for the duration of time necessary to allow the ingredients to pass through. The hydraulic circuit should be designed so that the door can be safely ...

Verified Answer:

A stepper motor is to be used to drive a linear axis of a mechatronic system. The motor output shaft is connected to a screw thread with a 30 mm pitch. It is desired to control each axis at 0.5 mm. What is the corresponding step angle? ...

Verified Answer:

A hydraulic rotor actuator is used for a twist joint with a hydraulic power source of pressure 70 bars and flow rate 2 m³/min. The outer and inner radii of the vane are 65 mm and 20 mm, respectively. The thickness of the vane is 0.5 mm. Determine the angular velocity and torque that can be ...

Verified Answer:

What are the holding force and velocity of the movement of piston of a single acting hydraulic actuator when the fluid pressure is 100 bar, the diameter of the piston is 50 mm, and the flow rate is 0.3 m³/min? ...

Verified Answer: