bicycle brake designning question?
You should make the brakes powerful enough that they could stop the wheel, causing a skid, under any foreseen circumstances.
Use physics and find the needed stopping force for your rider + bike then find the reaction force needed at the bike rim by summing the moments. Use this force as a load condition for a cad model and then run finite element analysis. Also look at the many patents out there by shimano, tectro, sram, and campagnolo to get some ideas on break design.
If you study classical physics, you will learn all that you need to know to calculate the braking system. Alternatively, you could ask on the physics category as a series of smaller simple questions, like; bike and rider weighs 100 kilos, slope of hill and speed given, what is force required to stop in certain feet. Then for rubber pad certain size, how much force to stop wheel, ect Good Luck