>>28676957
>>28676962
The average radial distance of an annular sector is equal to the radial position of its centroid relative to the axle.

Let r_1 and r_2 be the inner and outer radii, respectively, and θ be the central angle.

The area of the annular sector, A, is thus θ(r_2^2 - r_1^2)/2.

The average distance between every point in the annular sector and the center of the circle, denoted as r_a, is 1/A * ∫∫_R r * dA, where R is the region of the annular sector. After substituting this into radial terms and evaluating the integral, we get that r_a = (r_2^3 - r_1^3)/3.

We can then plug this into the overall equation to get T = F * (r_2^3 - r_1^3)/3.

Note that the final formula for r_a (and T, for that matter) doesn't depend on θ, and only on the inner and outer radius. This means that the arc length of the annular sector (and thus, the hypothetical brake pad) has zero effect on the peak braking force.

TLDR your are wrong idiot, get btfo