Impulse, Torque Calculator | Irfanedu

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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 (J) 🔧 Torque (τ) 📋 Step-by-Step 🌐 Free Online
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Impulse

Calculate Impulse using Force × Time or Change in Momentum

✅ Result
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Step-by-Step Solution
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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.

J = F × t
Also: J = Δp = m(v − u)
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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.

τ = r × F × sin(θ)
Max torque when θ = 90°
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Key Facts

Important things to remember

1
Impulse = Change in momentum: J = Δp = m×v − m×u
2
Impulse-Momentum Theorem: F×t = m×Δv — this is why airbags increase collision time to reduce force.
3
Torque is maximum when force is applied perpendicular (90°) to the lever arm — sin(90°) = 1.
4
Torque unit is N·m (Newton-metre). It is NOT the same as Joules even though units look similar.
5
A longer wrench (larger r) produces more torque with the same force — this is why long handles are easier to turn.
6
Impulse unit is N·s (Newton-second), which equals kg·m/s — same as momentum.
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Variables & Symbols

All symbols used in Impulse and Torque formulas

SymbolMeaningUnitDescription
JImpulseN·sForce × time = change in momentum
FForceNApplied force on the object
tTimesDuration of force applied
ΔpChange in Momentumkg·m/sFinal momentum − Initial momentum
mMasskgMass of the object
vFinal Velocitym/sVelocity after force is applied
uInitial Velocitym/sVelocity before force is applied
τTorqueN·mRotational force about a pivot
rLever ArmmDistance from pivot to force point
θAngledegrees (°)Angle between force and lever arm

Impulse and Torque — Complete Physics Guide for Students

📅 May 17, 2026 ✍️ Dr. Irfan Mansuri ⏱️ 3 min read 🌐 Physics · Class 9–12

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.

🏷️ Keywords: impulse calculator physics · torque calculator online · impulse momentum theorem · what is torque in physics · J = Ft calculator · torque formula calculator · impulse and momentum problems · rotational force calculator · physics calculator free · torque and lever arm

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Dr. Irfan Mansuri ✔ Verified
Ph.D. Physics · Associate Professor · Founder, IrfanEdu.com
Dr. Irfan Mansuri is a Ph.D. physicist and founder of IrfanEdu.com — making physics simple and accessible for students worldwide.

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