A mass-spring system oscillates with a frequency of 5 Hz. What is the angular fr
Practice Questions
Q1
A mass-spring system oscillates with a frequency of 5 Hz. What is the angular frequency? (2021)
10π rad/s
5π rad/s
2π rad/s
20π rad/s
Questions & Step-by-Step Solutions
A mass-spring system oscillates with a frequency of 5 Hz. What is the angular frequency? (2021)
Step 1: Understand that frequency (f) is given as 5 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 × 5 Hz.
Step 4: Calculate the result: ω = 10π rad/s.
Frequency and Angular Frequency – Frequency (f) is the number of oscillations per second, while angular frequency (ω) relates to how quickly the system oscillates in radians per second, calculated as ω = 2πf.