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Agent 47
Lv 4
Agent 47 asked in Science & MathematicsPhysics · 9 years ago

HORSEPOWER and TORQUE. I need help.?

I read on internet that the relation between Horsepower and Torque is:

HP = (Torque × RPM) ÷ 5252

When I'm trying to derive, I'm getting 5252 in the numerator. I don't understand how this number comes in denominator. This is what I'm getting:

1HP = 5252 × Torque × RPM

I don't understand where am I going wrong. Please help me.

Thanks in advance!

1 Answer

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  • Woodsman
    Lv 7
    9 years ago
    Favorite Answer

    Start with

    1 HP = 550 ft·lb/s

    Next, consider

    Power = τ • ω

    where Power is in ft·lb/s and τ is in ft·lb and ω is in rad/s. If ω is in rpm, then we need

    P = τ * ω * 2π rad/s * 1min / 60s = τ * ω / 9.55

    If we want Power in HP instead of ft·lb, then we have to further divide by 550, or

    P = τ * ω / 5252.

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