Question

• Obtain the differential equation that relates $\omega_L$ to $v_s$ $v_s$ + R $T_m$ 2.42 Nm $b_m$ Torque (N-m) $v = 24v$ $T_m$, $\omega_m$ $I_m$ $n_1$ $b_L$ $\omega_L$ $n_2$ $I_L$ Speed (rad/s) 793.8 $I_m = 14.2 \times 10^{-6} kgm^2$ $b_m = 3.55 \times 10^{-6} Nms/rad$ $I_L = 7 \times 10^{-4} kgm^2$ $n_1 = 20$ $n_2 = 60$

          • Obtain the differential equation that relates $\omega_L$ to $v_s$
$v_s$
+
R
$T_m$
2.42 Nm
$b_m$
Torque
(N-m)
$v = 24v$
$T_m$, $\omega_m$
$I_m$
$n_1$
$b_L$
$\omega_L$
$n_2$
$I_L$
Speed (rad/s) 793.8
$I_m = 14.2 \times 10^{-6} kgm^2$
$b_m = 3.55 \times 10^{-6} Nms/rad$
$I_L = 7 \times 10^{-4} kgm^2$
$n_1 = 20$
$n_2 = 60$

• Obtain the differential equation that relates to vs
vs
+
R
Tm
2.42 Nm
bm
Torque
(N-m)
v = 24v
Tm,
Im
n1
bL

n2
IL
Speed (rad/s) 793.8
Im = 14.2 × 10^-6 kgm^2
bm = 3.55 × 10^-6 Nms/rad
IL = 7 × 10^-4 kgm^2
n1 = 20
n2 = 60

Added by Angela J.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Madhur L

07/10/2023

Step 1

The motor has an inertia Im and a viscous friction coefficient bm. The motor is connected to a load with inertia IL and viscous friction coefficient bL through a gear train with gear ratios n1 and n2. Show more…

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Thanks for your feedback!

• Obtain the differential equation that relates ω₁ to vs Vs + R Tm 2.42 Nm bm Torque (N-m) v = 24v Tm wm Im 11 bL WL n2 IL Speed (rad/s) 793.8 Im = 14.2 x 10-6kgm² bm = 3.55x10-6 Nms/rad IL = 7x10-4 kgm² n₁ = 20 n2 = 60