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A mass attached to a spring oscillates with a frequency of 3 Hz. What is the ang
A mass attached to a spring oscillates with a frequency of 3 Hz. What is the angular frequency?
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Practice Questions
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Q1
A mass attached to a spring oscillates with a frequency of 3 Hz. What is the angular frequency?
3 rad/s
6 rad/s
9 rad/s
12 rad/s
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Angular frequency ω = 2πf = 2π(3) = 6 rad/s.
Questions & Step-by-step Solutions
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Q
Q: A mass attached to a spring oscillates with a frequency of 3 Hz. What is the angular frequency?
Solution:
Angular frequency ω = 2πf = 2π(3) = 6 rad/s.
Steps: 6
Show Steps
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.
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