Question: A simple harmonic oscillator has a maximum displacement of 0.1 m and a maximum speed of 2 m/s. What is the angular frequency?
Options:
10 rad/s
20 rad/s
5 rad/s
15 rad/s
Correct Answer: 10 rad/s
Solution:
ω = V_max/A = 2/0.1 = 20 rad/s.
A simple harmonic oscillator has a maximum displacement of 0.1 m and a maximum s
Practice Questions
Q1
A simple harmonic oscillator has a maximum displacement of 0.1 m and a maximum speed of 2 m/s. What is the angular frequency?
10 rad/s
20 rad/s
5 rad/s
15 rad/s
Questions & Step-by-Step Solutions
A simple harmonic oscillator has a maximum displacement of 0.1 m and a maximum speed of 2 m/s. What is the angular frequency?
Step 1: Identify the maximum displacement (A) of the simple harmonic oscillator, which is given as 0.1 m.
Step 2: Identify the maximum speed (V_max) of the simple harmonic oscillator, which is given as 2 m/s.
Step 3: Use the formula for angular frequency (ω), which is ω = V_max / A.
Step 4: Substitute the values into the formula: ω = 2 m/s / 0.1 m.
Step 5: Calculate the result: ω = 20 rad/s.
Simple Harmonic Motion – The motion of an object that oscillates back and forth around an equilibrium position, characterized by a restoring force proportional to the displacement.
Angular Frequency – The rate of oscillation in radians per second, calculated using the formula ω = V_max / A, where V_max is the maximum speed and A is the maximum displacement.
Soulshift Feedback×
On a scale of 0–10, how likely are you to recommend
The Soulshift Academy?
