Centripetal Force Calculator

How to Use the Centripetal Force Calculator

The Centripetal Force Calculator is designed to help you compute various attributes of an object in circular motion, such as centripetal force, centripetal acceleration, angular velocity, period of revolution, and frequency. Follow the steps below to effectively use the calculator:

Step 1: Input Required Values

Before obtaining the desired results, you must provide the necessary input values. Make sure to fill the input fields with appropriate measurements:

• Mass (kg): Enter the mass of the object in kilograms. This field is required and must be greater than 0.0001 kg.
• Velocity (m/s): Enter the velocity of the object in meters per second. Like mass, this is a required field and must be greater than 0.0001 m/s.
• Radius (m): Enter the radius of the circular path in meters. This value is also required and must be more than 0.0001 m.

Step 2: Calculate Results

After entering the necessary values, the calculator will automatically use those inputs to compute the following parameters. You will see the results appear as follows:

• Centripetal Force (N): The force exerted on the object to keep it moving in a circular path, computed by the formula ( F_c = frac{{mass times velocity^2}}{radius} ). The result is formatted to two decimal places with a suffix ‘N’ for newtons.
• Centripetal Acceleration (m/s²): This is the acceleration experienced by the object towards the center of the circular path, calculated using ( a_c = frac{{velocity^2}}{radius} ). The result is formatted to two decimal places with ‘m/s²’ as the suffix.
• Angular Velocity (rad/s): The rate at which the object rotates around the circle, calculated by ( omega = frac{velocity}{radius} ). The output is given to two decimal places with ‘rad/s’ as the unit.
• Period of Revolution (s): This is the time it takes for one complete rotation around the circle, computed with the expression ( T = frac{2pi times radius}{velocity} ). You’ll see the result in seconds, formatted to two decimal places.
• Frequency (Hz): The number of complete rotations per second, given by ( f = frac{velocity}{2pi times radius} ). The calculator will display the frequency in hertz, accurate to two decimal places.

Conclusion

Utilizing the Centripetal Force Calculator involves straightforward steps of inputting values for mass, velocity, and radius, after which the calculator provides you with a set of calculated results. Each result is formatted neatly for easy understanding, allowing you to analyze the behavior of objects in circular motion effectively. Make sure to double-check that all inputs align with their respective units to ensure accurate calculations.