Answered: 1)Seismologists and geophysicists have…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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1)Seismologists and geophysicists have determined that the vibrating Earth has a resonance period of 54 min and a Q factor of about 400. After a large earthquake, Earth will ″ring″ (continue to vibrate) for up to 2 months.

Question 1

i))Express the fractional change in energy as a function of Q is

a)\frac{\delE}{E} = \frac{2\pi}{Q}

b)\frac{\delE}{E} = \frac{4\pi}{Q}

c)\frac{\delE}{E} = {2\pi Q}

d)\frac{\delE}{E} = \frac{\pi}{2Q}

ii))

Find the percentage of the energy of vibration lost to damping forces during each cycle.

a)0.0157

b)0.021

c)0.0267

d)0.031

iii))Express the energy of the damped oscillator after one cycle is

a)E_1 = E_0 \left(1 - \frac{\del E}{E}\right)^\frac{1}{2}

b)E_1 = E \left(1 - \frac{\del E}{E}\right)^2

c)E_1 = E_0 \left(1 - \frac{\del E}{E}\right)

d)E_1 = E^2 \left(1 - \frac{\del E}{E}\right)

iv))Verify that after n periods the vibrational energy is given by E_n = (0.979)ⁿ E_O , where E_O is the original energy.

a)correct

b)wrong

v))If the original energy of vibration of an earthquake is E_O, what is the energy after 2.0 d?

a)0.820 E₃

b)0.562 E_O

c)0.43 E_O

d)0.323 E_O

_{Sir,Don't tell like this:}

"As per company policy, we are restricted to solve only first three sub-part of one question at a time. Please ask othersub-part in next post. Thanks for understanding."

Options are there.so,please answer all the questions sir.

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