How Do You Design a Chain and Sprocket System for a 25mph Scooter?

AI Thread Summary
To design a chain and sprocket system for a scooter to achieve a speed of 25 mph, the rear drive wheel has a diameter of 16 inches, and the engine operates at 3600 rpm with 5 horsepower. The engine sprocket has 16 teeth, and an intermediate sprocket is required to connect the engine to the rear tire. The calculated back tire speed is 525 rpm, but the engine speed reaches only 26.77 mph, indicating a need for further calculations to determine the correct size for the intermediate sprocket. The user is seeking guidance on the appropriate equations to find the necessary details for the intermediate gear and sprocket configuration. Accurate calculations are essential to ensure the system meets the desired speed requirements.
gongsta
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Homework Statement


You would like to build a little scooter using an engine. The rear drive wheel/tire that you have is 16 inches in total diameter. You also have a 16 tooth sprocket gear (approx. 2.5 inches in diameter) that will fit on the engine crankshaft. Design a chain and sproeckt system that will allow your scooter to travel at 25mph at rated engine speed.
engine horsepower: 5
engine speed: 3600rpm
note: there must be an intermediate gear and sprocket between the engine(and sprocket) and the back tire, also my professor confirmed that the sprocket on the back tire does not have 109 teeth.

Homework Equations


The Attempt at a Solution


back tire speed: 525 rpm
engine speed: 26.77 mph
I can seem to find no matter what equation I use to find any details about the middle sprocket.
 
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I don't know what equation to use to solve this or if I am missing something. Can anyone help me out?
 

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