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1 year ago

the amplitude of an oscillator decreases to 36.8% of its initial value in 10.0 s. what is the value of the time constant

Physics

1 answer:

iragen [17]1 year ago

4 0

Answer:

τ = 5 s

Explanation:

When a vibrating body is damped. Its amplitude starts to decrease. This decrement is exponential. And it is given as follows:

$X = X_{0}e^{-\frac{t}{2\tau}$

where,

τ = Time Constant = ?

X = Instantaneous value of amplitude

X₀ = Initial Value of amplitude

t = time interval = 10 s

The ratio of decrement is given as:

$\frac{X}{X_0} = 36.8\% = 0.368$

therefore, using these values, we get:

$\frac{X}{X_{0}} = 0.368 = e^{\frac{10\ s}{2\tau}}$

Taking natural log (ln) on both sides, we get:

$ln(0.368) = \frac{10\ s}{2\tau}\\\\\tau = \frac{10\ s}{2ln(0.368)}$

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Answer:

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Explanation:

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For that reason all the bulbs are connected in parallel in wich case all of them will operate with the common voltage

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2 years ago

When light energy hits the retina, the retinal changes from a _____ to a _____ configuration.

gayaneshka [121]

Answer:

Cis, Trans.

Explanation:

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1 year ago

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shepuryov [24]

Answer:

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Explanation:

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1 year ago

The Lamborghini Huracan has an initial acceleration of 0.85g. Its mass, with a driver, is 1510 kg. If an 80 kg passenger rode al

SashulF [63]

Answer:

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Explanation:

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m ∝ a

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