Hp vs rpm to displacement vs time graph?

AI Thread Summary
To create a displacement vs time graph for the motorcycles, calculate the acceleration at each 1/10 second interval using the derived acceleration values based on horsepower, mass, gear ratio, and tire circumference. Then, update the velocity by adding the acceleration contribution to the previous velocity at each interval. Starting from an initial speed of 0 m/s, you can plot the velocity over time to visualize how it changes. Finally, integrate the velocity data over time to obtain the displacement values, which can then be plotted against time. This method will allow for an accurate representation of displacement over time for the motorcycles.
Drillbit
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Hello, I am a high school student trying to compare two motorcycles on a displacement vs time graph.

The information I have is the mass of riders, mass of bikes, gear ratios, tyre circumference and dyno results indicating hp vs rpm. I am not taking air/rolling resistance into consideration and the run should start in first gear and use optimal shift points.

What I've done so far is to create a acceleration(derived from hp, mass, gear ratio and tyre circumference) vs velocity(derived from rpm, gear ratio and tyre circumference) graph of the bikes for each gear. Plotted on one graph this shows me the optimal shift points(the points where the graphs overlap). I can also create a displacement vs velocity graph but can't think of how to relate this to a displacement vs time graph? General instructions will be much appreciated.
 
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Take 1/10 second intervals.

The initial speed is 0m/s.

You need to figure out the acceleration rate at each 1/10 second interval, then add it's contribution to the velocity at the previous point.
 

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