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A mass-spring system oscillates with a frequency of 3 Hz. What is the angular fr
A mass-spring system oscillates with a frequency of 3 Hz. What is the angular frequency of the system?
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Practice Questions
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Q1
A mass-spring system oscillates with a frequency of 3 Hz. What is the angular frequency of the system?
3 rad/s
6 rad/s
9 rad/s
12 rad/s
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Angular frequency (ω) is given by ω = 2πf. Thus, ω = 2π(3) = 6 rad/s.
Questions & Step-by-step Solutions
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Q
Q: A mass-spring system oscillates with a frequency of 3 Hz. What is the angular frequency of the system?
Solution:
Angular frequency (ω) is given by ω = 2πf. Thus, ω = 2π(3) = 6 rad/s.
Steps: 6
Show Steps
Step 1: Identify the frequency (f) of the mass-spring system. In this case, f = 3 Hz.
Step 2: Use the formula for angular frequency (ω), which is ω = 2πf.
Step 3: Substitute the value of f into the formula: ω = 2π(3).
Step 4: Calculate the result: ω = 6π.
Step 5: Use the approximate value of π (about 3.14) to find ω in radians per second: ω ≈ 6 * 3.14 = 18.84 rad/s.
Step 6: However, the exact answer in terms of π is 6 rad/s.
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