Question

1. In the lab, a student has created an oscillator by hanging a weight from a spring. The student releases the oscillator from rest and uses a sensor and computer to find the equation of motion for the oscillator: x(t) = 0.13m cos (6.3 x ??????/s x t + 0.14 radians). The student then replaces the weight with a weight whose mass, m is twice as large as that of the original weight. The student again releases the weight from rest from the same displacement from equilibrium. What would the new equation of motion be for the oscillator?

2. Show that if one sound is twice as intense as another, it has a sound level of about 3 dB higher.

Note: The reference intensity is usually the threshold of hearing: I₀= 1.0 x 10^-12 W/m²

Position, velocity and acceleration equations of a simple harmonic oscillator may be utilized to solve this problem.

Answer 1

Solution in the uploaded image