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Shaft Torque Formula Calculator

Shaft Torque Formula:

\[ T = \frac{P \times 60}{2 \times \pi \times RPM} \]

W
rev/min

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1. What is the Shaft Torque Formula?

The shaft torque formula calculates the torque (T) produced by a rotating shaft based on the power (P) being transmitted and the rotational speed (RPM). This is a fundamental calculation in mechanical engineering for designing and analyzing rotating systems.

2. How Does the Calculator Work?

The calculator uses the shaft torque formula:

\[ T = \frac{P \times 60}{2 \times \pi \times RPM} \]

Where:

Explanation: The formula converts power and rotational speed into torque, accounting for the conversion between rotational and linear motion.

3. Importance of Torque Calculation

Details: Accurate torque calculation is essential for designing shafts, selecting appropriate materials, determining bearing requirements, and ensuring the mechanical system operates within safe limits.

4. Using the Calculator

Tips: Enter power in watts (W) and rotational speed in revolutions per minute (RPM). Both values must be positive numbers greater than zero.

5. Frequently Asked Questions (FAQ)

Q1: What units should I use for this calculation?
A: Power should be in watts (W) and rotational speed in revolutions per minute (RPM). The result will be in newton-meters (Nm).

Q2: Can I use different power units?
A: Yes, but you'll need to convert to watts first. 1 horsepower (hp) = 745.7 watts, 1 kilowatt (kW) = 1000 watts.

Q3: What if I have torque and want to find power?
A: You can rearrange the formula: \( P = \frac{T \times 2 \times \pi \times RPM}{60} \)

Q4: Why is there a 60 in the numerator?
A: The 60 converts minutes to seconds, as power is measured in watts (joules per second) while RPM is in revolutions per minute.

Q5: Is this formula applicable to all rotating systems?
A: This formula applies to any rotating system where power is being transmitted through a shaft, but may need modification for systems with significant losses or non-uniform motion.

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