If the frequency is 60 Hz, what is the angular frequency ω?

If the frequency is 60 Hz, what is the angular frequency ω?

• A. 60π rad/s
• B. 120π rad/s
• C. 2π rad/s
• D. 6π rad/s

Answer: (B)

Angular frequency counts how many radians of angle are completed each second, and it relates to frequency by ω = 2πf. Since f is 60 Hz, ω = 2π × 60 = 120π rad/s, which is about 3.77×10^2 rad/s. The other values would correspond to different frequencies (for example, 60π rad/s would mean 30 Hz, 2π rad/s would mean 1 Hz, etc.), so 120π rad/s is the correct match for 60 Hz.

Angular frequency counts how many radians of angle are completed each second, and it relates to frequency by ω = 2πf. Since f is 60 Hz, ω = 2π × 60 = 120π rad/s, which is about 3.77×10^2 rad/s. The other values would correspond to different frequencies (for example, 60π rad/s would mean 30 Hz, 2π rad/s would mean 1 Hz, etc.), so 120π rad/s is the correct match for 60 Hz.