Calculating Tractive Effort At Speeds

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Tractive effort (F_t) of a locomotive at various speeds can be calculated using the formula F_t = P/v, where P is the power at the wheels and v is the speed. However, the actual tractive effort cannot exceed the friction force, represented by F_t = μN, with μ being the coefficient of friction and N the normal force. This means that while power influences tractive effort, it is ultimately limited by the friction between the wheels and the rails. Understanding these formulas is crucial for accurately assessing locomotive performance. Accurate calculations ensure effective locomotive operation and prevent wheel slip.
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How does one calculate the tractive effort of a locomotive at various speeds? Is there a formula for this?
 
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The tractive effort (F_t) is simply the power available at the wheels (P) divided by the speed of the locomotive (v):

F_t = \frac{P}{v}​

But, no matter how much power there is at the wheels, it cannot exceed the friction force between the wheels and the rails (otherwise the wheels are spinning):

F_t = \mu N​

Where \mu is the coefficient of friction and N is the normal force acting on the wheels.
 
Thank you so much.
 
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