Mechanical Design - Electric Skateboard - Purely Fictional - Force Reactions - Engineering - Assessment Answer

Mechanical Design - Electric Skateboard - Purely Fictional - Force Reactions - Engineering - Assessment Answer

Assessment Task:

An electric skateboard has powered rear wheels that provide drive torque for accelerating forwards and also for decelerating during braking. Each rear wheel is attached to the skateboard via two bearings, as illustrated in the schematic. The skateboard weighs 8kg and the rider weighs 75kg with all necessary safety equipment.
The wheels have a diameter of 85mm and a friction coefficient of 1.5. Notably, the center of the wheel contact patch is 10mm from the nearest bearing and the bearing spacing is 25mm. A skateboard rider typically rides around a skate park that is 0.5km in length, which consists of multiple segments; namely 60% cornering, 30% bumpy terrain (moderate-to-heavy shocks), 10% braking regions. Due to various impacts and skate park terrain, the application factor during cornering, bumps and braking are 1.5, 3 and 1.2, respectively. Assume there is equal weight distribution across all four wheels and there is no weight transfer during riding. The inner bearing (A) is SKF 608 and the outer bearing (B) is SKF W 608 deep groove ball bearings. With the confidence of 99.9%, calculate the minimum number of skate park laps the rider can complete until bearing failure (and specify which bearing fails), where the average speed during cornering is 20kmh, bumpy terrain 32kmh, and braking 26kmh.

Note:
I. Please include full working out for all the calculations
II. Assume that the wheel friction loads act at the center of the wheel width
III. Assume that the wheel contact patch is directly below the axle
IV. Assume there is no weight transfer during cornering or braking
V. Assume the largest cornering loads are for the outside wheel during cornering
VI. Carefully note the bearing spacers and how they assist bearing force reactions
VII. The axle does not rotate and it is attached to the skateboard at the axle fixing.

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