Rotation Calculator

How to Use the Rotation Calculator

The Rotation Calculator is a tool designed to help you calculate various properties related to circular motion. Follow these steps to effectively utilize the calculator:

Step 1: Input Basic Parameters

Begin by entering the necessary input parameters in order to compute results:

• Radius (meters): Enter the radius of the circular path in meters. This is a required field, and the minimum allowed value is 0.01 meters.
• Angular Velocity (rad/s): Input the angular velocity in radians per second. This field must be filled, with a minimum increment of 0.01 rad/s.
• Time (seconds): Specify the duration of time in seconds for which you wish to analyze the motion. This field is required and has a minimum allowed value of 0, with increments of 0.1 seconds.
• Type of Motion: Choose between “Uniform Circular Motion” and “Accelerated Circular Motion.” This is a required selection to proceed with calculations.

Step 2: Interpret Calculated Results

After entering the above parameters, the calculator will provide the following outputs:

• Linear Velocity: Computed using the formula radius * angularVelocity. The result is displayed with two decimal points precision, in meters per second (m/s).
• Centripetal Acceleration: Calculated as pow(angularVelocity, 2) * radius, given in m/s² with two decimal points precision.
• Period of Rotation: Determined by the formula 2 * pi / abs(angularVelocity), shown in seconds with two decimal points precision.
• Frequency: Computed using abs(angularVelocity) / (2 * pi), expressed in Hertz (Hz) with two decimal points precision.
• Angular Displacement: This is the product of angularVelocity * time and is shown in radians with two decimal points precision.
• Arc Length: Calculated by the expression radius * abs(angularVelocity * time), displayed with two decimal points precision in meters.

Follow these steps carefully to ensure the calculator provides the most accurate and relevant results for your circular motion analysis.