Calculation of the Diameter of Flywheel Rim

The diameter of the flywheel rim is an important parameter in the design of a flywheel. It is determined by considering various factors such as the limit of peripheral speed, the limit of centrifugal stress, the coefficient of fluctuation of speed, and the weight of the rim. Among these parameters, the ones used in the calculation of the diameter of the flywheel rim are:

1. Limit of Peripheral Speed: The peripheral speed of a flywheel is the speed at which the outer rim of the flywheel moves. It is important to ensure that the peripheral speed remains within a safe limit to prevent any failure or damage. The limit of peripheral speed is determined based on the material properties and the intended application of the flywheel. By considering the limit of peripheral speed, the maximum allowable speed can be determined, which in turn affects the diameter of the flywheel rim.

2. Limit of Centrifugal Stress: The centrifugal stress is the stress induced in the flywheel rim due to its rotation. It is directly proportional to the square of the peripheral speed and inversely proportional to the radius of the flywheel rim. To prevent any failure due to excessive stress, there is a limit to the centrifugal stress that can be tolerated by the material of the flywheel rim. By considering the limit of centrifugal stress, the diameter of the flywheel rim can be determined to ensure that the stress remains within acceptable limits.

3. Coefficient of Fluctuation of Speed: The coefficient of fluctuation of speed is a measure of the variation in speed during the operation of the flywheel. It is defined as the ratio of the maximum fluctuation in speed to the mean speed. A lower coefficient of fluctuation of speed indicates a smoother operation and better energy storage capabilities of the flywheel. By considering the coefficient of fluctuation of speed, the diameter of the flywheel rim can be optimized to achieve the desired performance and minimize energy losses.

4. Weight of the Rim: The weight of the rim is another important parameter in the design of a flywheel. It affects the inertia of the flywheel, which in turn influences its energy storage capacity and stability. By considering the weight of the rim, the diameter of the flywheel rim can be determined to achieve the desired inertia and overall performance of the flywheel.

In conclusion, the parameters used in the calculation of the diameter of the flywheel rim are the limit of peripheral speed, the limit of centrifugal stress, the coefficient of fluctuation of speed, and the weight of the rim. These parameters are crucial in designing a flywheel that can safely store and release energy while maintaining its structural integrity.