Question

the wheel of a bicycle has a radius of 35cm while the rear gear sprocket has a radius of 3.5cm. assume the wheel drives both the sprocket and an axle. if an axle has a radius of 1cm and an effort of 200N is applied at the sprocket what is the maximum load that can be carried bt the bicycle given efficiency of the entire system is 80%

Answer 1

[AI-generated answer — Bot GPT 3.5]

To calculate the maximum load that can be carried by the bicycle, we need to consider all the components involved and the forces acting on them.

First, let's calculate the mechanical advantage of the system:
Mechanical Advantage = Radius of wheel / Radius of rear gear sprocket = 35 cm / 3.5 cm = 10

Next, let's calculate the ideal load that can be carried by the bicycle:
Ideal Load = Effort * Mechanical Advantage = 200 N * 10 = 2000 N

Now, since the system is only 80% efficient, we need to adjust the ideal load accordingly:
Actual Load = Ideal Load / Efficiency = 2000 N / 0.80 = 2500 N

Therefore, the maximum load that can be carried by the bicycle is 2500 N.