Magnitude of Impulse Calculator, Formula, Magnitude of Impulse Calculation

Magnitude of Impulse Calculator:

Enter the values of x-component of force, F_x(N), y-component of force, F_y(N) and change in time, dt_(s) to determine the value of Magnitude of impulse, J_(N-s).

Magnitude of Impulse Formula:

Impulse (J) signifies the change in momentum of an object when a force is applied over a specific period. It is a vector quantity, measured in newton-seconds (N·s), and reflects the overall effect of a force acting over time on an object.

Force push or pull acting on an object, which can have components in different directions (Fx, Fy). The greater the force (magnitude and direction) applied to the object, the larger the impulse (J). A strong kick in soccer translates to a higher impulse compared to a gentle nudge.

Time interval duration for which the force is applied. The longer the force acts (dt), the greater the impulse (J). A sustained push will have a larger impact than a quick jab.

A force (Fx and Fy) acts on an object for a specific time interval (dt). This force causes a change in the object’s momentum (mass times velocity).

The magnitude of impulse (J) captures the overall strength of this change in momentum, considering both the force and the time it acts.

Impulse can be calculated as the product of the average force applied and the time duration over which the force is applied.

Magnitude of impulse, J_(N-s) in Newton second is calculated by multiplying the square root of square of x-component of force, F_x(N) and square of y-component of force, F_y(N) in Newtons by change in time, dt_(s) in seconds.

Magnitude of impulse, J_(N-s) = √(F²_x(N) + F²_y(N)) * dt_(s)

J_(N-s) = magnitude of impulse in Newton seconds, N-s.

F_x(N) = x-component of force in Newtons, N.

F_y(N) = y-component of force in Newtons, N.

dt_(s) = change in time in seconds, s.

Magnitude of Impulse Calculation:

1. Finding Impulse (J) using Force Components and Time Interval:

Given: F_x(N) = 3N, F_y(N) = 4N, dt_(s) = 2s.

Magnitude of impulse, J_(N-s) = √(F²_x(N) + F²_y(N)) * dt_(s)

J_(N-s) = √(3² + 4²) * 2

J_(N-s) = √25 * 2

J_(N-s) = 5 * 2

J_(N-s) = 10N-s.

2. Finding Force Component (Fx) using Impulse, Other Force Component (Fy), and Time Interval:

Given: F_x(N) = 6N, F_y(N) = 8N, J_(N-s) = 15N-s.

Magnitude of impulse, J_(N-s) = √(F²_x(N) + F²_y(N)) * dt_(s)

dt_(s) = 15 / √(6² + 8²)

dt_(s) = 15 / √(36 + 64)

dt_(s) = 15 / √100

dt_(s) = 15 / 10

dt_(s) = 1.5s.

momentum : Impulse calculations