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Impulse Calculator

Introduction

Our Impulse calculator helps you calculate Impulse. We define Impulse as the change in momentum. It is a vector quantity with magnitude and direction, and its direction is the same as the net external force applied.

The SI unit of an Impulse is Newton’s Second (N s). The alternative unit for impulse is the Kilogram Meter per Second (kg m /s).

How to use the Impulse Calculator?

Using the impulse calculator, you can calculate the impulse by inputting mass, final velocity, and initial velocity.

Mass (m) The mass of the object

Final Velocity (v2) The Final Velocity of the object

Initial Velocity (v1) The Initial Velocity of the object

Impulse (J) The change in momentum due to the change in velocity of the object

What is Impulse?

Impulse is the product of the net external force and the time the force is applied to accelerate the particle from rest to its current velocity. It quantifies the effect of a net force acting on an object over time. We generally express it using Newton Seconds (N s).

How to calculate Impulse using Velocity?

We can also calculate impulse using velocity; We obtain the change in momentum by using the following formula

Δp=m⋅ΔvΔp=m×(v2−v1)J=m×(v2−v1)\begin{aligned} \Delta p &= m \cdot \Delta v \\[10pt] \Delta p &= m \times (v_2 - v_1) \\[10pt] \text{J} &= m \times (v_2 - v_1) \end{aligned}

Where,

J → Impulse of the object

m → mass of the object

v2 → Final Velocity of the object

v1 → Initial Velocity of the object

How to calculate Impulse using Force?

The change in momentum of an object after a force is applied to accelerate given by the following equation

Δp=m⋅Δv\Delta p = m \cdot \Delta v

We obtain Acceleration by the change in velocity divided by the change in time.

a=ΔvΔta = \dfrac{\Delta v}{\Delta t}

We can write change in velocity as

Δv=a⋅Δt\Delta v = a \cdot \Delta t

Substituting in the above equation, we get

Δp=m⋅aΔt\Delta p = m \cdot a \Delta t

Force (F) given by,

F=m⋅aF = m \cdot a

Hence, we obtain the change in Momentum as

Δp=F⋅Δt\Delta p = F \cdot \Delta t

Where,

Impulse (J)=F⋅Δt\begin{aligned} \text{Impulse (J)} &= F\cdot \Delta t \\[10pt] \end{aligned}

F → Force Applied

t → time for which the force is applied

The change in Momentum is the Impulse (J). We refer to this equivalence as the Impulse-Momentum theorem.

How is Impulse Calculated using Velocity?

We can also calculate impulse using velocity; We obtain the change in momentum by using the following formula

Δp=m⋅ΔvΔp=m×(v2−v1)J=m×(v2−v1)\begin{aligned} \Delta p &= m \cdot \Delta v \\[10pt] \Delta p &= m \times (v_2 - v_1) \\[10pt] \text{J} &= m \times (v_2 - v_1) \end{aligned}

Where,

J → Impulse of the object

m → mass of the object

v2 → Final Velocity of the object

v1 → Initial Velocity of the object

Examples

FAQs

What is an impulse?

Impulse is the product of the force applied to an object and the time over which the force is applied. It is a measure of the change in momentum of an object and we typically measure it in units of newton-seconds (N·s).

The impulse is proportional to the constant net force acting on an item and the time period during which the net force operates since the impulse is the combination of force and time. The stronger the force exerted on an object, the stronger the impulse.

The impulse is directly related to momentum since it is the change in momentum of an object. When we subject an object to an impulse, its momentum changes.

Author

hexacalculator design team

Our team blends expertise in mathematics, finance, engineering, physics, and statistics to create advanced, user-friendly calculators. We ensure accuracy, robustness, and simplicity, catering to professionals, students, and enthusiasts. Our diverse skills make complex calculations accessible and reliable for all users.

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