Impulse is defined as the the product of force and the time during which the force acts. It is a vector quantity as Force is vector quantity, Its unit is Newton-sec. It is denoted by Letter I. So, I is defined as
$I= F \times t$
Where
I -> Impulse
F -> Force acting on it
t -> time during which force is being applied
Impulse is also calculated as the difference from Final momentum and initial Momentum
$I= p_2 - p_1 = mv_2 - mv_1$
Where
m -> mass
$v_2$ -> Final velocity
$v_1$ -> Initial velocity
Impulse Calculator using change in momentum
Note
Enter the values of the mass , initial velocity and final velocity in the text boxes
Click on the calculate button.
Formula used
$I =p_2 - p_1$
$I=mv_2 - mv_1$
Where m -> mass
$v_2$ -> Final velocity
$v_1$ -> Initial velocity
Impulse Calculator
Example of Few questions where you can use this Impulse formula Question 1
Calculate the Initial Momentum,Final Momentum and Impulse on the object have mass 10 kg and initial and final velocites as 10m/s and 20 m/s Solution
Given , m= 10 kg, $v_1 = 10 \ m/s$, $v_2 = 20 \ m/s$
Initial Momentum ($p_1$) is calculated as
$p_1 =m v_1$ = 10 \times 10 = 100 \ Kg m/s$
final Momentum ($p_2$) is calculated as
$p_2 =m v_2= 10 \times 20 = 200 \ kg m/s$
Impulse is calculated using change in momentum
$I= p_2 - p_1= 200 - 100 = 100 N-s$
Question 2
Calculate the Impulse for the both of Mass (m) = 25 kg and initial velocity and final velocity as 20 and 40 m/s
Impulse is calculated using change in momentum
$I= mv_2 - mv_1= 25 \times 40 - 25 \times 20 = = 500 N-s$
How Impulse Calculator using change in momentum works
Initial Momentum ($p_1$) is calculated as
$p_1 =m v_1$
final Momentum ($p_2$) is calculated as
$p_2 =m v_2$
Impulse is calculated using change in momentum
$I= p_2 - p_1$
Impulse Calculator using I=Ft equation
Note
Enter the values of the two known variables in the text boxes
Leave the text box empty for the variable you want to solve for
Click on the calculate button.
Formula used
$I =Ft$
Where F -> Force applied
t -> time period during which force is applied
Impulse Calculator
Example of Few questions where you can use this formula Question 1
Calculate the Impulse on the object have force applied 10 N for 3 sec Solution
Given , F=10N, t=3 sec, I=?
Impulse is given as
$I= F \times t = 10 \times 3 = 30 \ N-s$
Question 2
Calculate the force on the object when Impulse applied 100 N-s for 20 sec Solution
Given , F=?, t=3 sec, I=100 N-s
Impulse is given as
$I= F \times t $
Rearranging this for force
$F= \frac {I}{t} = \frac {100}{20} = 5 \ N$
Question 3
The Impulse due to force of 20 N on the object is 1000 N-s . Find the time duration for which force is applied? Solution
Given , F=20 N, t=?, I=1000 N-s
Impulse is given as
$I= F \times t $
Rearranging this for time
$F= \frac {I}{F} = \frac {1000}{20} = 50 \ sec$
How Impulse Calculator using $I=Ft$ equation
When time and force is given,Impulse is calculated as
$I =F \times t$
When time and Impulse is given,Force is calculated as
$F =\frac {I}{t}$
When Force and Impulse is given,time is calculated as
$t =\frac {I}{F}$
