Circular Motion Calculator

This Circular Motion Calculator allows users to input parameters such as radius, velocity, mass, and angle, and computes various results including angular velocity, period, frequency, centripetal acceleration, centripetal force, linear velocity, tangential velocity, and radial velocity.

Use Our Circular Motion Calculator

How to Use the Circular Motion Calculator

This guide will help you understand how to use the Circular Motion Calculator to perform various calculations related to circular motion. Follow the step-by-step instructions below to make the most of the calculator.

Step 1: Prepare Your Values

Before using the calculator, make sure you have the following values ready:

  • Radius: The radius of the circular path in meters. This is a required field and must be greater than or equal to 0.0001.
  • Velocity: The linear velocity in meters per second (m/s). This is also required and should be at least 0.0001 m/s.
  • Mass: The mass of the object in kilograms (kg). This is another required field with a minimum value of 0.0001 kg.
  • Angle: The angle in degrees. The angle is required and should be between 0 and 360 degrees.

Step 2: Input Your Values

Once you have gathered the necessary values, input them into the respective fields in the calculator:

  • Enter the radius of the circular path in the “Radius (meters)” input field.
  • Enter the velocity in the “Velocity (m/s)” input field.
  • Enter the mass of the object in the “Mass (kg)” input field.
  • Enter the angle in degrees in the “Angle (degrees)” input field.

Step 3: Understand the Calculated Results

After you have entered all required inputs, the calculator will display the results of the calculations. Here is what each result means:

  • Angular Velocity (ω): This is calculated as velocity divided by radius and represented in radians per second (rad/s).
  • Period (T): The time taken for one complete rotation, calculated as (2 pi / (text{velocity} / text{radius})), and shown in seconds (s).
  • Frequency (f): The number of rotations per second, calculated as (1 / (text{Period})) and displayed in Hertz (Hz).
  • Centripetal Acceleration: Given by (text{velocity}^2 / text{radius}) in meters per second squared (m/s²).
  • Centripetal Force: This is the force on the object moving in a circle, given by (text{mass} times text{velocity}^2 / text{radius}) in Newtons (N).
  • Linear Velocity: The same as the input velocity, shown in meters per second (m/s).
  • Tangential Velocity: Calculated using (text{velocity} times sin(text{angle} times pi / 180)), represented in meters per second (m/s).
  • Radial Velocity: Calculated using (text{velocity} times cos(text{angle} times pi / 180)), also in meters per second (m/s).

By following the above steps, you will be able to effectively use the Circular Motion Calculator to obtain useful information about objects in circular motion.