Question

In: Physics

1. In the lab, a student has created an oscillator by hanging a weight from a...

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 ?????? 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.

Solutions

Expert Solution

Diplacement equation of oscillator is

Given equation is

Where angular frequency ( is mass of hanging weight, is spring constant )

Initial mass of hanging weight is ,

Final mass of hanging weight is ,

The new displacement equation is

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For two sound levels

Intenisy one sound level is twice as intense as the other,

Sound level is higher.

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genius_generous answered 1 year ago

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