Question

Что будет с частотой, периодом и угловой скоростью,если радиус увкличится в три раза?

Answer 1

Если спрашивается в диске то период,частота и угловая скорость одинаковые(не изменяется). А если по окружности, то по формуле:то не припомниться такая формула

Answer 2

Calculating the Effect of Increasing the Radius on Frequency, Period, and Angular Velocity

When the radius of a circular motion increases, it has an impact on the frequency, period, and angular velocity. Let's explore the effects of increasing the radius by three times on these parameters.

Frequency, Period, and Angular Velocity:

When the radius of a circular motion increases by three times, the following changes occur:

1. Frequency (f): The frequency of the circular motion decreases. 2. Period (T): The period of the circular motion increases. 3. Angular Velocity (ω): The angular velocity of the circular motion decreases.

The specific mathematical relationships between these parameters and the radius can be described as follows:

- Frequency (f) is inversely proportional to the radius (r). Therefore, if the radius increases by three times, the frequency decreases by the same factor. - Source: - Period (T) is directly proportional to the radius (r). Hence, if the radius increases by three times, the period also increases by the same factor. - Source: - Angular Velocity (ω) is inversely proportional to the radius (r). Consequently, if the radius increases by three times, the angular velocity decreases by the same factor. - Source: In summary, increasing the radius of a circular motion by three times leads to a decrease in frequency, an increase in period, and a decrease in angular velocity.

This information provides a clear understanding of the relationship between the radius and the key parameters of circular motion. If you have further questions or need additional details, feel free to ask!