For the graph in Figure Q14.9 , determine the frequency f

Chapter 14, Problem 3CQ

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

FIGURE Q14.3 shows a position- versus-time graph for a particle in SHM. What are (a) the amplitude \(A\), (b) the angular frequency \(\omega\), and (c) the phase constant \(\phi_{0}\) ? Explain.

FIGURE Q14.3

Equation Transcription:

Text Transcription:

A

watt

phi_0

Questions & Answers

QUESTION:

FIGURE Q14.3 shows a position- versus-time graph for a particle in SHM. What are (a) the amplitude \(A\), (b) the angular frequency \(\omega\), and (c) the phase constant \(\phi_{0}\) ? Explain.

FIGURE Q14.3

Equation Transcription:

Text Transcription:

A

watt

phi_0

ANSWER:

Step 1 of 2

We are going to find the frequency and the amplitude of the given waveform.

The wave started at 0 s with a certain non-zero displacement and ended at 4 s with the same value. There are two identical cycles in 4 s. Hence the oscillation has the time period (T) 2 s.

The frequency of oscillation

\(f=\frac{1}{T}\)

\(f=\frac{1}{2}\)

\(f=0.5 \mathrm{~Hz}\)

The frequency of the oscillation is 0.5 Hz.

 

Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back