Answered: Given the period T = 4.05 hrs, find the…

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

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Question

Given the period T = 4.05 hrs, find the frequency in rad/sec. Provide your answer in rad/sec to the nearest fifth decimal place. eg: 0.00019 rad/sec Circle Final Answer !!!

Expert Solution

Step 1

Given that,

Time period, $T = 4.05$ hrs.

so,

$T = 4.05 \times 3600 s e c \Rightarrow T = 14580 s e c$

A time period is defined as the amount of time it takes for one complete cycle of vibration to pass through a given point.

Frequency is defined as the number of oscillations made by a wave per second, and it is related to the time period with the following relation

$f = \frac{1}{T}$ $h z$

where $f$ represent the frequency of signal and

$T$ represent the time period of the signal.

The unit of frequency is Hertz.

To convert frequency in hz to rad/sec following formula is used

$ω = 2 π \times f r a d / s e c$

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