A particle in simple harmonic motion has a maximum speed of 4 m/s and an amplitu
Practice Questions
Q1
A particle in simple harmonic motion has a maximum speed of 4 m/s and an amplitude of 2 m. What is the angular frequency?
2 rad/s
4 rad/s
8 rad/s
16 rad/s
Questions & Step-by-Step Solutions
A particle in simple harmonic motion has a maximum speed of 4 m/s and an amplitude of 2 m. What is the angular frequency?
Step 1: Identify the maximum speed (v_max) of the particle, which is given as 4 m/s.
Step 2: Identify the amplitude (A) of the motion, which is given as 2 m.
Step 3: Recall the formula that relates maximum speed, angular frequency (ω), and amplitude: v_max = ωA.
Step 4: Rearrange the formula to solve for angular frequency (ω): ω = v_max / A.
Step 5: Substitute the values into the formula: ω = 4 m/s / 2 m.
Step 6: Calculate the result: ω = 2 rad/s.
Simple Harmonic Motion – The motion of a particle where the restoring force is directly proportional to the displacement from the equilibrium position.
Maximum Speed in SHM – The maximum speed of a particle in simple harmonic motion is given by the product of angular frequency and amplitude.
Angular Frequency – The rate of oscillation in radians per second, related to the maximum speed and amplitude in SHM.
