A tractor multi-plate wet master clutch has 4 driving plates and 3 driven plates ($n = 6$ pairs of active friction contact surfaces). The friction surfaces have an outer radius of $r_1 = 150\text{ mm}$ and inner radius of $r_2 = 100\text{ mm}$. The coefficient of friction is $\mu = 0.12$. If the total axial clamping spring force is $W = 5000\text{ N}$, using uniform wear theory, the maximum torque transmitting capacity of the clutch in $\text{N}\cdot\text{m}$ is ________ (answer in integer).
Answer Key:
450
Step-by-Step Solution & Explanation
1. Mean friction radius under uniform wear theory ($R_m$):
$R_m = \frac{r_1 + r_2}{2} = \frac{150 + 100}{2} = 125\text{ mm} = 0.125\text{ m}$
2. Number of active contact pairs $n = 6$.
3. Maximum clutch torque capacity ($T$):
$T = n \cdot \mu \cdot W \cdot R_m = 6 \times 0.12 \times 5000\text{ N} \times 0.125\text{ m} = 450\text{ N}\cdot\text{m}$