1. For the motor load, torque -speed curve shown below, solve the following questions. R 2. T (N-m) 10 J₁ 10V 100 №₁ D₁ N₂L D₂ w (rad/s) OL(t) J₂f N₁ = 100 N₂ = 1000 J₁ = 1 kg.m² J2 = 100 kg.m² D₁ = 1 N·m-s/rad D2 = 100 N·m-s/rad Back emf: vo(s)=Kb₁(s) d01 where Ω1(s)= dt Torque developed by the motor: T₁=K₁ la(s) 1) Find a relationship between the current (la(s)), voltage (Vs(s)), and the back emf (V₁(s)) (the equation for the dashed-box part) 2) Find the no-load speed (no torque is applied) from the torque-speed curve. 3) Find the stall torque (rotor is not turning) from the torque-speed curve. 4) Find the total inertia at the armature of the motor. 5) Find the total damping at the armature of the motor.

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1. For the motor load, torque -speed curve shown below, solve the following questions.
R
2.
T (N-m)
10
J₁
10V
100
N₂
D₂
{
N₁
D₁
w (rad/s)
J₂
OL(t)
of
N₁ = 100
N₂ = 1000
J₁ = 1 kg.m²
J2 = 100 kg.m²
D₁ = 1 N.m.s/rad
D2 = 100 N·m-s/rad
Back emf: vo(s)=Kb₁(s)
d01
where ₁(s)=
dt
Torque developed by the motor: T₁=Kt la(s)
1) Find a relationship between the current (Ia(s)), voltage (Vš(s)), and the back emf (Vú(s)) (the
equation for the dashed-box part)
2) Find the no-load speed (no torque is applied) from the torque-speed curve.
3) Find the stall torque (rotor is not turning) from the torque-speed curve.
4) Find the total inertia at the armature of the motor.
5) Find the total damping at the armature of the motor.
6) Find the coefficient of the transfer function ₁/Vs(s) = z/(s+p).
Round your z and p to the nearest one(e.g., 2.2 ≈ 2, 1.1 ≈ 1, 0.5 ≈ 1)
Angular Velocity of sys 1(₁)
Voltage(V)
(The question wants to see transfer function,
7) Find the poles and zeros from the transfer function found at 6) (z/(s+p)).
Transcribed Image Text:1. For the motor load, torque -speed curve shown below, solve the following questions. R 2. T (N-m) 10 J₁ 10V 100 N₂ D₂ { N₁ D₁ w (rad/s) J₂ OL(t) of N₁ = 100 N₂ = 1000 J₁ = 1 kg.m² J2 = 100 kg.m² D₁ = 1 N.m.s/rad D2 = 100 N·m-s/rad Back emf: vo(s)=Kb₁(s) d01 where ₁(s)= dt Torque developed by the motor: T₁=Kt la(s) 1) Find a relationship between the current (Ia(s)), voltage (Vš(s)), and the back emf (Vú(s)) (the equation for the dashed-box part) 2) Find the no-load speed (no torque is applied) from the torque-speed curve. 3) Find the stall torque (rotor is not turning) from the torque-speed curve. 4) Find the total inertia at the armature of the motor. 5) Find the total damping at the armature of the motor. 6) Find the coefficient of the transfer function ₁/Vs(s) = z/(s+p). Round your z and p to the nearest one(e.g., 2.2 ≈ 2, 1.1 ≈ 1, 0.5 ≈ 1) Angular Velocity of sys 1(₁) Voltage(V) (The question wants to see transfer function, 7) Find the poles and zeros from the transfer function found at 6) (z/(s+p)).
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