Answer to Question #298833 in Mechanical Engineering for Luke

Question

A scooter has hydraulic disc brakes both front and rear. The brakes have a brake piston on each side of the disc. The average radius of the blocks' contact with the disc is 10 cm, the piston diameter is 20 mm and the steel disc weighs 0.8 kg. The coefficient of friction between the coating and the disc is assumed to be 0.4. The scooter weighs 160 kg including the driver and the weight distribution is 50% front and 50% rear regardless of whether you brake or not. The wheelbase (the distance between the center of the front and rear wheels) is 1.37 m and the wheel diameter is 0.45 m. Assume that you only brake with the front wheel and that the friction number between the tire and the road surface is 0.9. Steel has a specific heat capacity of 450 J / (kg ° C).

1. What is the minimum possible braking distance (you brake so hard that the front wheel is on the verge of locking) when braking from 50 km / h to a standstill?

Answer 1

Answer is given below