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Impulse Calculator



What is Impulse

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

  • Solution
    Given , m= 10 kg, $v_1 = 10 \ m/s$, $v_2 = 20 \ m/s$
  • 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
      $t =\frac {I}{F}$

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