A simple harmonic oscillator has an amplitude A. What is the maximum speed of th
Practice Questions
Q1
A simple harmonic oscillator has an amplitude A. What is the maximum speed of the oscillator?
Aω
A/ω
A²ω
A/2ω
Questions & Step-by-Step Solutions
A simple harmonic oscillator has an amplitude A. What is the maximum speed of the oscillator?
Step 1: Understand what a simple harmonic oscillator is. It is a system that moves back and forth in a regular pattern, like a swing or a pendulum.
Step 2: Identify the amplitude (A). This is the maximum distance the oscillator moves from its rest position.
Step 3: Learn about angular frequency (ω). This is a measure of how fast the oscillator moves back and forth, usually given in radians per second.
Step 4: Use the formula for maximum speed. The maximum speed (v_max) of the oscillator can be calculated using the formula v_max = Aω.
Step 5: Plug in the values of amplitude (A) and angular frequency (ω) into the formula to find the maximum speed.
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.
Maximum Speed in SHM – The maximum speed of a simple harmonic oscillator occurs at the equilibrium position and is calculated using the formula v_max = Aω.
Angular Frequency – Angular frequency (ω) is related to the frequency of oscillation and is a key parameter in determining the maximum speed of the oscillator.
