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Kazeer [188]
2 years ago
7

A mass M is suspended from a spring and oscillates with a period of 0.840 s. Each complete oscillation results in an amplitude r

eduction of a factor of 0.96 due to a small velocity dependent frictional effect.
Calculate the time it takes for the total energy of the oscillator to decrease to 0.50 of its initial value (The amplitude after N oscillations=(initial amplitude)x(factor)^N).
Physics
1 answer:
True [87]2 years ago
5 0

The time it takes for the total energy of the oscillator to decrease to 0.50 of its initial value

t= 14.448 s

This is further explained below.

<h3>What is an oscillator?</h3>

An electronic oscillator is a circuit that generates a periodic, oscillating electronic signal. This signal is often a sine wave, but it may also be a square wave or a triangle wave. Oscillators are devices that change the direct current that is supplied by a power source into an alternating current signal.

Generally, the equation for amplitude  is  mathematically given as

A_n = A_0(0.96)^n

equal to the half-energy amplitude

A_0(0.96)^n =\frac{ A_0}{\sqrt{2}}

lnA_0(0.96)^n = ln\frac{Ao}{\sqrt{2}}

ln(A_0)+n*ln(0.98) = ln(A_0)-ln(\sqrt{2})

n = 17.2

In conclusion, the time is

t = nT

t= 14.448 s

Read more about oscillators

brainly.com/question/17133973

#SPJ1

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