The torque transmitted through a belt drive is proportional to the drive ratio in what manner?

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Multiple Choice

The torque transmitted through a belt drive is proportional to the drive ratio in what manner?

Explanation:
In a belt drive, the torque on the driven pulley scales with how the drive ratio changes the speeds. If most of the input power is transferred to the output, power is roughly constant: P ≈ T_in ω_in ≈ T_out ω_out. The drive ratio is DR = ω_in/ω_out. Solving for the output torque gives T_out = P/ω_out = (P/ω_in) × DR = T_in × DR. So, as the drive ratio increases, the output torque increases in direct proportion, while the output speed decreases accordingly. Real belt systems have losses, but this direct proportionality is the correct, useful approximation.

In a belt drive, the torque on the driven pulley scales with how the drive ratio changes the speeds. If most of the input power is transferred to the output, power is roughly constant: P ≈ T_in ω_in ≈ T_out ω_out. The drive ratio is DR = ω_in/ω_out. Solving for the output torque gives T_out = P/ω_out = (P/ω_in) × DR = T_in × DR. So, as the drive ratio increases, the output torque increases in direct proportion, while the output speed decreases accordingly. Real belt systems have losses, but this direct proportionality is the correct, useful approximation.

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