Suppose that, for the graph shown below, each division on the time scale represents 2.50 x 10-3 s and divisions on the displacement scale are in 1 cm increments. MAR (a) Find the amplitude. (b) Find the period. (c) Find the frequency. (d) Find the displacement at t = 0.035 s Time

Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter1: Getting Started
Section: Chapter Questions
Problem 52PQ: Later in this book, you will learn that sound is a wave. The wavelength and frequency f of a wave...
icon
Related questions
icon
Concept explainers
Topic Video
Question
### Wave Characteristics Problem

#### Problem Description:
Suppose that, for the graph shown below, each division on the time scale represents \(2.50 \times 10^{-3} \, \text{s}\) and divisions on the displacement scale are in 1 cm increments.

![Wave Graph](wave_graph.png)

#### Annotations:
- **Amplitude (A)**: The maximum displacement from the equilibrium position.
- **Period (T)**: The time taken for one complete cycle of the wave.

#### Questions:
1. **Find the amplitude.**
   ```plaintext
   [Answer Box]
   ```

2. **Find the period.**
   ```plaintext
   [Answer Box]
   ```

3. **Find the frequency.**
   ```plaintext
   [Answer Box]
   ```

4. **Find the displacement at \( t = 0.035 \, \text{s} \).**
   ```plaintext
   [Answer Box]
   ```

#### Detailed Explanations of the Graph:
- **Displacement vs. Time Graph**:
  - The vertical axis represents displacement in centimeters.
  - The horizontal axis represents time in seconds.
  - The wave pattern provides both positive and negative displacements, indicating oscillatory motion (e.g., sine wave).

### Steps to Solve Each Question:

1. **Finding the Amplitude**:
   - Identify the peak (maximum positive or negative displacement) value on the graph.
   - Count the number of divisions from the equilibrium (center) line to the peak.
   - Multiply the number of divisions by the displacement increment (1 cm).

2. **Finding the Period**:
   - Identify one complete cycle (from one crest to the next crest or one trough to the next trough).
   - Count the number of divisions representing one complete cycle.
   - Multiply the number of divisions by the time increment (\(2.50 \times 10^{-3} \, \text{s}\)).

3. **Finding the Frequency**:
   - Use the formula: \( \text{Frequency} (f) = \frac{1}{\text{Period} (T)} \).

4. **Finding the Displacement at \( t = 0.035 \, \text{s} \)**:
   - Locate the specific time point (\(0.035 \, \text{s}\)) on the horizontal axis.
   - Count the divisions to determine the position on the
Transcribed Image Text:### Wave Characteristics Problem #### Problem Description: Suppose that, for the graph shown below, each division on the time scale represents \(2.50 \times 10^{-3} \, \text{s}\) and divisions on the displacement scale are in 1 cm increments. ![Wave Graph](wave_graph.png) #### Annotations: - **Amplitude (A)**: The maximum displacement from the equilibrium position. - **Period (T)**: The time taken for one complete cycle of the wave. #### Questions: 1. **Find the amplitude.** ```plaintext [Answer Box] ``` 2. **Find the period.** ```plaintext [Answer Box] ``` 3. **Find the frequency.** ```plaintext [Answer Box] ``` 4. **Find the displacement at \( t = 0.035 \, \text{s} \).** ```plaintext [Answer Box] ``` #### Detailed Explanations of the Graph: - **Displacement vs. Time Graph**: - The vertical axis represents displacement in centimeters. - The horizontal axis represents time in seconds. - The wave pattern provides both positive and negative displacements, indicating oscillatory motion (e.g., sine wave). ### Steps to Solve Each Question: 1. **Finding the Amplitude**: - Identify the peak (maximum positive or negative displacement) value on the graph. - Count the number of divisions from the equilibrium (center) line to the peak. - Multiply the number of divisions by the displacement increment (1 cm). 2. **Finding the Period**: - Identify one complete cycle (from one crest to the next crest or one trough to the next trough). - Count the number of divisions representing one complete cycle. - Multiply the number of divisions by the time increment (\(2.50 \times 10^{-3} \, \text{s}\)). 3. **Finding the Frequency**: - Use the formula: \( \text{Frequency} (f) = \frac{1}{\text{Period} (T)} \). 4. **Finding the Displacement at \( t = 0.035 \, \text{s} \)**: - Locate the specific time point (\(0.035 \, \text{s}\)) on the horizontal axis. - Count the divisions to determine the position on the
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 6 steps with 19 images

Blurred answer
Knowledge Booster
Simple Harmonic Motion
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations…
Physics for Scientists and Engineers: Foundations…
Physics
ISBN:
9781133939146
Author:
Katz, Debora M.
Publisher:
Cengage Learning