Torque Power Speed Calculator

Power Formula:

\[ P (kW) = Torque (N·m) × Speed (rad/s) \]

Power:

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1. What is the Torque Power Speed Relationship?

The relationship between torque, power, and rotational speed is fundamental in mechanical engineering. Power is the product of torque and angular velocity, describing how much work can be done in a given time.

2. How Does the Calculator Work?

The calculator uses the power formula:

\[ P (kW) = Torque (N·m) × Speed (rad/s) \]

Where:

\( P \) — Power in kilowatts (kW)
\( Torque \) — Rotational force in Newton-meters (N·m)
\( Speed \) — Angular velocity in radians per second (rad/s)

Explanation: This formula calculates the mechanical power output of a rotating system, where torque represents the rotational force and speed represents how fast the rotation occurs.

3. Importance of Power Calculation

Details: Accurate power calculation is essential for designing mechanical systems, selecting appropriate motors, determining energy requirements, and optimizing system performance in various applications from automotive to industrial machinery.

4. Using the Calculator

Tips: Enter torque in N·m and speed in rad/s. Both values must be positive numbers. The calculator will automatically compute the power in kilowatts.

5. Frequently Asked Questions (FAQ)

Q1: What is the difference between torque and power?
A: Torque is a measure of rotational force, while power is the rate at which work is done. Power takes into account both the force (torque) and how fast it's applied (speed).

Q2: How do I convert RPM to rad/s?
A: Multiply RPM by 2π/60. For example, 1000 RPM = 1000 × (2 × 3.14159) / 60 ≈ 104.72 rad/s.

Q3: What are typical torque values for different applications?
A: Small electric motors: 0.1-10 N·m, Automotive engines: 100-500 N·m, Industrial motors: 50-2000 N·m depending on size and application.

Q4: Why is power measured in kilowatts?
A: Kilowatts are the standard SI unit for power, making calculations consistent and comparable across different systems and applications.

Q5: Can this formula be used for linear motion?
A: For linear motion, power = force × velocity. The torque-speed relationship is specific to rotational systems.