What is the permissible intensity of pressure (N/mm2) if the inner diameter of a clutch plate is 100 mm, the outer diameter is 200 mm, and the operating force is 23.6 kN?

To determine the permissible intensity of pressure on the clutch plate, we need to calculate the pressure using the provided values of force and the area through which that force is applied.

First, we convert the inner and outer diameters of the clutch plate into meters to use in our calculations. The inner diameter is 100 mm (0.1 m), and the outer diameter is 200 mm (0.2 m).

Next, we can calculate the area of the clutch plate where the force is applied. The area (A) of a ring (which is the shape of our clutch plate) can be calculated using the formula for the area of a circle, as follows:

1. Area of the outer circle (diameter = 200 mm):

[

A_{outer} = \pi \left(\frac{D_{outer}}{2}\right)^2 = \pi \left(0.1\right)^2 = \pi (0.01) \approx 0.0314 , m^2

]

2. Area of the inner circle (diameter = 100 mm):

[

A_{inner} = \pi \left(\frac{D_{inner}}{2