A mass-spring system oscillates with a frequency of 1 Hz. What is the angular fr
Practice Questions
Q1
A mass-spring system oscillates with a frequency of 1 Hz. What is the angular frequency? (2023)
2π rad/s
π rad/s
1 rad/s
4π rad/s
Questions & Step-by-Step Solutions
A mass-spring system oscillates with a frequency of 1 Hz. What is the angular frequency? (2023)
Step 1: Understand that frequency (f) is how many times something happens in one second. In this case, the frequency is given as 1 Hz.
Step 2: Know that angular frequency (ω) is a way to measure how fast something is oscillating in radians per second.
Step 3: Use the formula that relates angular frequency to frequency: ω = 2πf.
Step 4: Substitute the given frequency (f = 1 Hz) into the formula: ω = 2π(1).
Step 5: Calculate the result: ω = 2π rad/s.
Frequency and Angular Frequency – Understanding the relationship between frequency (f) and angular frequency (ω) in oscillatory motion, specifically the formula ω = 2πf.
