Which method allows for calculating angular speed from frequency?

• A. Angular Speed = 60f/π
• B. Angular Speed = 120f/π
• C. Angular Speed = 2πf
• D. Angular Speed = f/30

Answer: (B)

To calculate angular speed from frequency, the relationship between angular speed (often denoted as ω in radians per second) and frequency (f in hertz) is fundamental. The formula used for this conversion is:

Angular Speed = 2πf

This equation indicates that angular speed is determined by multiplying the frequency by 2π, which accounts for the full circle in radians (2π radians corresponds to one complete revolution).

In the context of the provided choices, the method that captures this correlation correctly is the third option: Angular Speed = 2πf. This indicates how frequently the rotational motion occurs (in Hz) is converted into angular speed (in rad/s) through the multiplication by 2π, which is essential for translating linear frequency into angular motion.

This understanding makes it clear that the answer aligns with the physical concepts inherent in rotational dynamics, confirming it as the correct choice. The other options either modify this relationship improperly or use incorrect factors.