Question: A mass on a spring oscillates with a frequency of 2 Hz. What is the angular frequency?
Options:
4π rad/s
2π rad/s
π rad/s
8π rad/s
Correct Answer: 4π rad/s
Solution:
The angular frequency ω is given by ω = 2πf. For f = 2 Hz, ω = 2π(2) = 4π rad/s.
A mass on a spring oscillates with a frequency of 2 Hz. What is the angular freq
Practice Questions
Q1
A mass on a spring oscillates with a frequency of 2 Hz. What is the angular frequency?
4π rad/s
2π rad/s
π rad/s
8π rad/s
Questions & Step-by-Step Solutions
A mass on a spring oscillates with a frequency of 2 Hz. What is the angular frequency?
Step 1: Understand that frequency (f) is given as 2 Hz.
Step 2: Know the formula to find angular frequency (ω), which is ω = 2πf.
Step 3: Substitute the value of frequency into the formula: ω = 2π(2).
Step 4: Calculate the result: ω = 4π rad/s.
Frequency and Angular Frequency – The relationship between frequency (f) and angular frequency (ω) is defined by the formula ω = 2πf, where frequency is measured in Hertz (Hz) and angular frequency is measured in radians per second.
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