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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 of the motion?
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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 of the motion?
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 of the motion?
Solution:
Angular frequency (ω) = 2πf = 2π(3) = 6 rad/s.
Steps: 6
Show Steps
Step 1: Understand that frequency (f) is given as 3 Hz.
Step 2: Know that angular frequency (ω) can be calculated using the formula ω = 2πf.
Step 3: Substitute the value of frequency into the formula: ω = 2π(3).
Step 4: Calculate the value: ω = 6π.
Step 5: Use the approximate value of π (about 3.14) to find ω: ω ≈ 6 * 3.14 = 18.84 rad/s.
Step 6: However, the exact answer in terms of radians is 6 rad/s.
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