Angular Impulse Calculator

Hey there! Are you looking for a quick and easy way to calculate angular impulse? Look no further! Our tool allows you to input all the necessary variables, like mass, radius, and angular velocity, and it will give you an accurate calculation of the angular impulse. No need to spend hours manually calculating this value. So why wait? Try it out now and see how simple calculating angular impulse can be!

Angular Impulse Calculator

Calculate the angular impulse of an object.

kg m2/s
Angular Impulse Calculator Results
Mass of Object:0
Force Applied:0
Time of Impact:0
Distance from Axis:0
Initial Angular Momentum:0
Initial Angular Velocity:0
Direction of Rotation:0
Angular Impulse:0

In physics and engineering, angular impulse and angular momentum are essential concepts. Our angular impulse calculator pairs effectively with the angular momentum calculator, facilitating angular motion analysis.

How to Use the Angular Impulse Calculator

The Angular Impulse Calculator is a tool designed to calculate the angular impulse of an object. Angular impulse is a concept in physics that describes the change in angular momentum of an object caused by an external force acting on it for a certain period of time. This calculator is particularly useful in fields such as physics, engineering, and mechanics where understanding and analyzing rotational motion is essential.

Instructions for Utilizing the Calculator

To effectively utilize the Angular Impulse Calculator, follow these steps:

  1. Mass of Object: Enter the mass of the object in kilograms (kg). The mass represents the amount of matter in the object and is crucial for calculating angular impulse.
  2. Force Applied: Input the force applied to the object in newtons (N). This force represents the external force acting on the object, causing a change in its angular momentum.
  3. Time of Impact: Specify the time of impact in seconds (s). This value denotes the duration for which the force acts on the object and influences its angular momentum.
  4. Distance from Axis: Enter the distance from the axis of rotation in meters (m). This distance represents the perpendicular distance between the axis of rotation and the line of action of the applied force.
  5. Initial Angular Momentum: Input the initial angular momentum of the object in kilogram meters squared per second (kg m^2/s). Angular momentum is a measure of the rotational motion of an object and plays a vital role in calculating angular impulse.
  6. Initial Angular Velocity: Specify the initial angular velocity of the object in radians per second (rad/s). Angular velocity represents the rate of change of angular displacement over time.
  7. Direction of Rotation: Select the direction of rotation from the provided options: clockwise or counterclockwise. This selection is necessary to determine the sign of the calculated angular impulse, indicating the direction of the change in angular momentum.

After entering the required data, click the Calculate Angular Impulse button to initiate the calculation.

Angular Impulse Formula

The angular impulse (I) can be calculated using the following formula:

I = force × time × distance × (direction)


  • force is the applied force in newtons (N),
  • time is the time of impact in seconds (s),
  • distance is the distance from the axis of rotation in meters (m),
  • direction represents the direction of rotation, with a value of 1 for counterclockwise and -1 for clockwise.

Illustrative Example

Let's consider an example to illustrate the usage of the Angular Impulse Calculator. Suppose we have an object with a mass of 2 kg. A force of 10 N is applied to the object for a duration of 5 seconds. The distance from the axis of rotation is 0.5 m, and the direction of rotation is counterclockwise. The initial angular momentum of the object is 3 kg m^2/s, and the initial angular velocity is 2 rad/s.

By inputting these values into the calculator and clicking Calculate Angular Impulse, we obtain the following results:

  • Mass of Object: 2 kg
  • Force Applied: 10 N
  • Time of Impact: 5 s
  • Distance from Axis: 0.5 m
  • Initial Angular Momentum: 3 kg m^2/s
  • Initial Angular Velocity: 2 rad/s
  • Direction of Rotation: Counterclockwise
  • Angular Impulse: 25 N m

The calculated angular impulse of 25 N m indicates the change in angular momentum of the object caused by the applied force.

Illustrative Table Example

Here is an example table showcasing various sets of input values and their corresponding angular impulse calculations:

Mass of Object

Force Applied

Time of Impact

Distance from Axis

Initial Angular Momentum

Initial Angular Velocity

Direction of Rotation

Angular Impulse

2 kg10 N5 s0.5 m3 kg m^2/s2 rad/sCounterclockwise25 N m
5 kg8 N2 s1.2 m2.5 kg m^2/s1.5 rad/sClockwise-19.2 N m
1 kg15 N3 s0.8 m1.2 kg m^2/s3 rad/sCounterclockwise36 N m

Note: The direction of rotation can be represented by 1 for counterclockwise and -1 for clockwise.

The Angular Impulse Calculator is a valuable tool for calculating the change in angular momentum of an object due to an applied force. By inputting the mass of the object, the force applied, the time of impact, the distance from the axis, the initial angular momentum, the initial angular velocity, and the direction of rotation, the calculator provides the angular impulse. Understanding and utilizing this calculator can aid in analyzing rotational motion and its various applications in physics and engineering.

About the Author

Author Image

Zayan Chowdhury
Theoretical physicist

Zayan Chowdhury is a theoretical physicist with a passion for exploring the fundamental laws of the universe. He is deeply interested in understanding the nature of dark matter and dark energy, and how they influence the evolution of the cosmos. Zayan has published several papers on topics ranging from black hole thermodynamics to quantum gravity, and his work has been recognized by leading physicists in the field. In his free time, Zayan enjoys reading philosophy and exploring the great outdoors.