Hp vs rpm to displacement vs time graph?

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SUMMARY

This discussion focuses on creating a displacement vs time graph for two motorcycles using horsepower (hp) vs revolutions per minute (rpm) data. The user has gathered essential parameters such as rider and bike mass, gear ratios, and tyre circumference, and has already plotted acceleration vs velocity graphs for optimal shift points. To derive a displacement vs time graph, the user needs to calculate the acceleration at 1/10 second intervals, updating the velocity accordingly, starting from an initial speed of 0 m/s.

PREREQUISITES
  • Understanding of basic physics concepts such as acceleration and velocity
  • Familiarity with motorcycle dynamics, including gear ratios and tyre circumference
  • Proficiency in graphing techniques, particularly for displacement and velocity
  • Knowledge of data analysis methods to interpret dyno results
NEXT STEPS
  • Learn how to calculate acceleration from horsepower, mass, and gear ratios
  • Research methods for converting velocity data into displacement over time
  • Explore graphing software tools for visualizing displacement vs time data
  • Investigate the impact of gear shifts on motorcycle performance metrics
USEFUL FOR

This discussion is beneficial for high school students studying physics, motorcycle enthusiasts analyzing performance metrics, and anyone interested in understanding the relationship between power output and displacement over time in vehicles.

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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