Impulse Calculator
Use our impulse calculator to solve impulse, force, or time given the other two properties using the J = Ft impulse formula.
Results: Impulse
Impulse Formula:
Force Formula:
Time Formula:
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How to Use the Impulse Formula
Impulse is the total effect of a force acting over a period of time. Unlike force alone, impulse accounts for both the magnitude of the force and how long it is applied.
Impulse is directly related to an object’s momentum through the Impulse-Momentum Theorem, which states that the impulse applied to an object equals its change in momentum.
You can calculate impulse using a standard formula.
Impulse Formula
The impulse formula states:
J = Ft
Where:
- J = impulse
- F = force
- t = time
Thus, the impulse J in newton-seconds is equal to the force F in newtons multiplied by the time t in seconds.
How to Calculate Impulse
To calculate impulse, use the formula above and multiply the applied force by the time in seconds.
J = Ft
How to Calculate Force
You can rearrange this formula to solve for force given the impulse and time properties.
Formula:
F = J / t
So, the amount of force F is equal to the impulse J divided by the time t.
How to Calculate Time
You can use a similar rearrangement to calculate the time using the impulse formula.
Formula:
t = J / F
So, the time t is equal to the impulse J divided by the force F.
Impulse vs. Momentum
Simply put, impulse is the change in momentum p. So, impulse can also be expressed as Δp.
J = Δp
Recall that momentum is equal to the mass of an object multiplied by its velocity.
p = mv
Therefore, impulse is also equal to the mass of an object multiplied by the change in velocity, which the Impulse-Momentum Theorem states can be expressed as:
J = m(vf – vi)
The impulse J is equal to the mass of an object m multiplied by the final velocity vf minus the initial velocity vi.