Calculate Torque From Rpm And Gear Ratio

Torque Formula:

\[ Torque_{rpm\_gr} = \frac{(HP \times 5252)}{RPM} \times GR \]

Torque (foot-pounds):

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1. What is the Torque Formula?

The torque formula calculates the rotational force produced by an engine or motor, taking into account horsepower, RPM, and gear ratio. It provides a measure of the twisting force available at the output shaft.

2. How Does the Calculator Work?

The calculator uses the torque formula:

\[ Torque_{rpm\_gr} = \frac{(HP \times 5252)}{RPM} \times GR \]

Where:

\( HP \) — Horsepower
\( RPM \) — Revolutions per minute
\( GR \) — Gear ratio (unitless)
5252 — Conversion constant (foot-pounds per minute per horsepower)

Explanation: The formula converts horsepower to torque, then applies the gear ratio to determine the output torque at the driven component.

3. Importance of Torque Calculation

Details: Accurate torque calculation is crucial for mechanical system design, vehicle performance analysis, gear selection, and ensuring proper power transmission in various applications.

4. Using the Calculator

Tips: Enter horsepower (must be > 0), RPM (must be > 0), and gear ratio (must be > 0). All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is 5252 used in the formula?
A: 5252 is the conversion factor that relates horsepower (550 foot-pounds per second) to RPM (revolutions per minute) in the torque calculation.

Q2: What are typical torque values for different applications?
A: Torque values vary widely depending on the application - from small electric motors (few foot-pounds) to large diesel engines (thousands of foot-pounds).

Q3: How does gear ratio affect torque?
A: Gear ratios multiply torque - higher gear ratios produce more torque output but at lower RPM, while lower ratios produce less torque but higher RPM.

Q4: Can this formula be used for electric motors?
A: Yes, the formula works for any rotational power source where horsepower, RPM, and gear ratio are known.

Q5: What's the relationship between torque and horsepower?
A: Horsepower is a function of torque and RPM. At 5252 RPM, torque and horsepower are numerically equal. Below this RPM, torque is higher than horsepower; above it, horsepower is higher.