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Tangential Force Calculator

Calculate tangential force easily with our online Tangential Force Calculator using mass, radius, angle, or velocity. Fast, accurate, and free to use.

Current Formula:

Ft = m × r × α

kg
Range: 0.001 to 10000 kg
m
Range: 0.001 to 1000 m
rad/s²
Range: -1000 to 1000 rad/s²

Tangential Force plays a crucial role in rotational motion. Whether you're studying physics, engineering, or simply working on a mechanical project, understanding how tangential force works and how to calculate it is essential. That’s why we’ve developed a simple, powerful, and user-friendly Tangential Force Calculator that helps you compute tangential force instantly using the correct formulas.

What is Tangential Force?

Tangential force is the force that acts on a rotating body in a direction tangent to its circular path. It’s directly related to the object's mass, radius, and either angular acceleration or angular velocity, depending on the type of motion. In simple terms, it’s the force that makes things spin or keeps them spinning.

In circular motion, tangential force affects the acceleration and speed of rotation. It's also widely used in calculating gear forces, cutting forces in machining, and friction forces in sliding motions.

Tangential Force Formulas

Depending on the situation, there are several ways to calculate tangential force:

For Angular Acceleration:

Formula:

Ft = m × r × α

Where:

Ft = Tangential Force (N)

m = Mass (kg)

r = Radius (m)

α = Angular Acceleration (rad/s²)

For Constant Angular Velocity:

Formula:

Ft = m × r × ω²

Where:

ω = Angular Velocity (rad/s)

For Torque-Based Calculation:

Formula:

Ft = τ / r

Where:

τ = Torque (Nm)

For Gear Forces:

Formula:

Ft = (σ × m × b × Y) / K

Where:

σ = Stress (Pa)

m = Module (m)

b = Face width (m)

Y = Form Factor

K = Dynamic Factor

For Sliding (Viscous) Force:

Formula:

Ft = (μ × A × V) / h

Where:

μ = Viscosity (Pa·s)

A = Area (m²)

V = Velocity (m/s)

h = Film Thickness (m)

These equations are commonly used in engineering, physics, and mechanical design, especially when dealing with tangential cutting force, tangential force in gear, or circular motion problems.

How to Use the Tangential Force Calculator

  1. Select the type of calculation: angular acceleration, velocity, torque, gear, or sliding.
  2. Enter the required input values such as mass, radius, angular velocity, or other specific parameters.
  3. Click on the "Calculate" button.
  4. The result will be shown instantly with the applied formula.

Whether you’re a student, an engineer, or a hobbyist, this tool simplifies complex calculations and helps you understand the concept behind each formula.

Final Verdict

Understanding how to calculate tangential force is vital in fields like physics, mechanical engineering, and gear design. Our Tangential Force Calculator simplifies this process by providing quick and accurate results. With support for various calculation methods including angular acceleration, torque, velocity, gear systems, and sliding motion, it's an all-in-one solution for anyone dealing with rotational dynamics.

Use this calculator for your studies, design simulations, or mechanical analysis, and save time while getting precise results.

Frequently Asked Questions (FAQs)

What is tangential force in circular motion?

Tangential force in circular motion is the force acting along the tangent to the path of an object moving in a circle. It affects the object's angular acceleration or velocity.

How do you calculate tangential force?

You can calculate tangential force using the formula Ft = m × r × α for angular acceleration or Ft = m × r × ω² for constant velocity, depending on the motion type.

How do you calculate tangential force in gear systems?

Tangential force in gears is calculated using the formula Ft = (σ × m × b × Y) / K, which involves stress, module, face width, form factor, and dynamic factor.

What is the tangential cutting force?

Tangential cutting force is the force exerted parallel to the cutting surface in machining processes. It can be derived using sliding or gear force formulas based on the scenario.

Is this calculator accurate for physics students?

Yes, this calculator is designed for both students and professionals. It uses standard physics and engineering formulas to provide accurate and reliable results.