Torque on a Shaft: 5HP & 10:1 Gear Ratio

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In a system with a 5hp motor and a 10:1 gear ratio, the horsepower remains constant at 5hp, but the torque is affected by the gear ratio. The gearbox does not multiply power; instead, it changes the torque and speed relationship. Power is the product of torque and angular velocity, and while power remains constant, torque increases as speed decreases due to the gear ratio. Efficiency losses must be considered, as they affect the actual output power and torque. Understanding these principles is crucial for analyzing motor and gearbox performance.
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If a motor has a horsepower of 5hp and a gear box ratio of 10:1 does the hp through out the system remain 5? or does the gear box multiply the power?

how does this affect the torque?
 
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Power is constant through a transmission and is the product of torque and angle rate.
 
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Doug Huffman said:
Power is constant through a transmission and is the product of torque and angle rate.
...minus the loss due to inefficiencies. Not to nitpick on you Doug Huffman, but considering the OP's question I think it is worthy of pointing out.
 
power out = power in * efficiency
torque out = torque in * (input speed / output speed) * efficiency
 

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