Impulse & Torque
Calculator
Calculate Impulse and Torque instantly. Choose a topic, enter your values and get clear step-by-step solutions — free for students worldwide.
Impulse
Calculate Impulse using Force × Time or Change in Momentum
Impulse (J)
Impulse is the product of force and time. It equals the change in momentum of an object. A large force for a short time can give the same impulse as a small force for a long time.
Torque (τ)
Torque is the rotational equivalent of force. It measures how much a force causes an object to rotate about a pivot. The angle between force and lever arm matters.
Key Facts
Important things to remember
Variables & Symbols
All symbols used in Impulse and Torque formulas
| Symbol | Meaning | Unit | Description |
|---|---|---|---|
| J | Impulse | N·s | Force × time = change in momentum |
| F | Force | N | Applied force on the object |
| t | Time | s | Duration of force applied |
| Δp | Change in Momentum | kg·m/s | Final momentum − Initial momentum |
| m | Mass | kg | Mass of the object |
| v | Final Velocity | m/s | Velocity after force is applied |
| u | Initial Velocity | m/s | Velocity before force is applied |
| τ | Torque | N·m | Rotational force about a pivot |
| r | Lever Arm | m | Distance from pivot to force point |
| θ | Angle | degrees (°) | Angle between force and lever arm |
Impulse and Torque — Complete Physics Guide for Students
Two of the most important yet often misunderstood concepts in physics are Impulse and Torque. Whether you are solving exam problems, understanding how car safety systems work, or figuring out why a wrench has a long handle — these two concepts are everywhere. This free online calculator helps you solve Impulse and Torque problems instantly with step-by-step solutions.
🔍 Quick Answer: Impulse = F × t = Δp (change in momentum) | Torque = r × F × sin(θ) (rotational force). Use the calculator above to solve any variable instantly.
💥 What is Impulse in Physics?
Impulse is defined as the product of force and the time for which it acts: J = F × t. By the Impulse-Momentum Theorem, this equals the change in momentum of the object: J = Δp = m(v − u). This is why airbags in cars save lives — they increase the collision time, which reduces the force on the passenger even though the impulse (change in momentum) stays the same. Use our free Impulse calculator at IrfanEdu to solve for force, time, or change in momentum instantly.
- Unit of Impulse: N·s = kg·m/s (same as momentum)
- Real-life example: A cricket bat hitting a ball applies a large force for a very short time
- Key relation: J = Δp — impulse equals change in momentum always
🔧 What is Torque in Physics?
Torque (τ) is the rotational equivalent of force. It measures how effectively a force causes rotation about a pivot point. The formula is τ = r × F × sin(θ), where r is the lever arm length, F is the applied force, and θ is the angle between them. Torque is maximum when the force is applied at 90° to the lever arm because sin(90°) = 1. This is why door handles are placed far from the hinge — a longer r means more torque with the same force. According to Khan Academy’s AP Physics guide, torque is fundamental to understanding all rotational motion. Explore more physics tools at IrfanEdu.com — Free Physics Calculators for Students.
- Unit of Torque: N·m (Newton-metre)
- Max torque: When θ = 90° → sin(90°) = 1
- Zero torque: When θ = 0° or 180° → sin(0°) = 0
📋 How to Use This Calculator
- Select Impulse or Torque from the mode cards above
- Click Solve For to choose the unknown variable
- Enter the known values in the input fields
- Click Calculate Now — get instant answer with full step-by-step solution
This calculator is 100% free and works on all devices. For more free physics tools including Newton’s Laws, Projectile Motion, Circular Motion and Force calculators, visit IrfanEdu.com.
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