Solution Found!
For the graph in Figure Q14.9 , determine the frequency f
Chapter 14, Problem 3CQ(choose chapter or problem)
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.