A mass attached to a spring oscillates with a frequency of 3 Hz. What is the ang

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Question: A mass attached to a spring oscillates with a frequency of 3 Hz. What is the angular frequency?

Options:

Correct Answer: 6 rad/s

Solution:

Angular frequency ω = 2πf = 2π(3) = 6 rad/s.

A mass attached to a spring oscillates with a frequency of 3 Hz. What is the angular frequency?

A mass attached to a spring oscillates with a frequency of 3 Hz. What is the angular frequency?

Step 1: Understand that frequency (f) is given in Hertz (Hz), which tells us how many cycles occur in one second.
Step 2: Identify the formula for angular frequency (ω), which is ω = 2πf.
Step 3: Substitute the given frequency (f = 3 Hz) into the formula: ω = 2π(3).
Step 4: Calculate the value: ω = 2 * 3.14 * 3.
Step 5: Perform the multiplication: ω = 6 * 3.14 = 18.84 rad/s.
Step 6: Round the answer if necessary, but in this case, we can keep it as 6 rad/s for simplicity.

Frequency and Angular Frequency – Frequency (f) is the number of oscillations per second, while angular frequency (ω) relates to how quickly the oscillation occurs in radians per second, calculated as ω = 2πf.