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Force to Torque Calculator

Easily calculate torque from force with our Force to Torque Calculator. Find formulas and methods for bolts, motors, and more.

Calculating torque from force is an essential task in physics, engineering, and mechanical design. To make this process simpler, we’ve developed the Force to Torque Calculator—a tool that allows users to compute torque effortlessly. Whether you’re working on a motor, determining bolt torque, or understanding torque-to-thrust conversion, this calculator is designed for precision and ease of use.

In this article, we’ll explain what torque is, the formula for calculating it, and how to use our tool. Additionally, we’ll provide insights into related calculations like bolt torque, motor torque, and more, using related tools like our Weight to Torque Calculator.

What is Torque?

Torque is the rotational force applied to an object. It depends on the magnitude of the force, the distance from the axis of rotation (lever arm), and the angle at which the force is applied. The standard unit of torque in the metric system is the Newton meter (N·m).

Formula for Torque

Torque is calculated using the formula:

Torque (T) = Force (F) × Lever Arm Length (L) × sin(θ)

Where:

  • T is the torque (in N·m)
  • F is the force applied (in Newtons)
  • L is the lever arm length (in meters)
  • θ is the angle between the force and the lever arm (in degrees)

For example, if you apply a force of 50 N at a 90° angle on a lever arm of 2 meters, the torque is:

T = 50 × 2 × sin(90°) = 100 N·m

How to Use the Force to Torque Calculator

Our Force to Torque Calculator is intuitive and straightforward. Follow these steps:

  1. Enter Force: Input the force in your preferred unit (e.g., Newtons or pounds-force).
  2. Select Lever Arm Length: Choose the lever arm length and its unit (e.g., meters or feet).
  3. Set Angle: Specify the angle of application in degrees.
  4. Choose Output Unit: Select the desired output unit (e.g., N·m or ft-lbf).
  5. Calculate: Hit the "Calculate Torque" button to get results instantly.

For a deeper understanding of engine-related torque, check out our Engine Torque Calculator.

Common Torque Calculations

Bolt Torque Calculation

Bolt torque is critical for ensuring mechanical stability. To calculate, use the formula:

T = K × F × D

Where:

  • T is the torque (in N·m)
  • K is the torque coefficient (dimensionless)
  • F is the force applied (in Newtons)
  • D is the bolt diameter (in meters)

Torque from RPM

For rotating objects, torque is linked to power and RPM as follows:

T = (P × 9549) / RPM

Where:

  • T is torque (in N·m)
  • P is power (in kilowatts)
  • RPM is the speed in revolutions per minute

For further exploration, visit our HP to Torque Calculator.

Screw Torque to Linear Force

To convert screw torque to linear force, the formula is:

F = T / (D / 2)

Where:

  • F is the linear force (in Newtons)
  • T is the torque (in N·m)
  • D is the screw diameter (in meters)

Torque Calculation Table

Force (N)Lever Arm Length (m)Angle (°)Torque (N·m)
1001.090100.0
2000.54570.71
1502.030150.0

For more advanced engineering tools, visit our Science and Engineering Calculators.

Final Verdict

The Force to Torque Calculator is a versatile tool designed for engineers, mechanics, and DIY enthusiasts. It streamlines calculations, saves time, and reduces the risk of error. By incorporating this calculator into your workflow, you can ensure precision in all torque-related tasks.

FAQs

How do you convert force to torque?

Torque is calculated by multiplying force, lever arm length, and the sine of the angle between them:

T = F × L × sin(θ)

How do you calculate torque strength?

Torque strength refers to the amount of torque applied, typically measured in N·m or ft-lbf. Use our calculator to get accurate results effortlessly.

What is lbs in torque?

"Lbs" often refers to pounds-force (lbf), a unit of force used in torque calculations. Convert it to Newtons (1 lbf = 4.44822 N) for accurate torque computation.

How does torque relate to thrust?

Torque and thrust are connected in propellers or screws, where torque generates rotational force, and thrust produces linear movement.