Measuring Simple Harmonic Motion 1. A spring-mass system vibrates exactly 10 times per second. Find its period and its frequency. T=tos T=0. O.IS f = n = 10 Hz f = 10 Hz 2. A pendulum swings with a period of 0.20 seconds. Period=0-15 a. What is its frequency? frequency = 10 Hz I = 0₂20 s f = + = 0·₂0 = [(5+₂) 0.20 b. How many times does it pass the lowest point on its path in 1.0 second? in 7.0 seconds? 10 times, 1 sec -> 5 cycles = 2x5 = 10 times. 3. A spring-mass system completes 20.0 vibrations in 5.0 seconds, with a 2.0 cm amplitude. a. Find its frequency and its period. f = 20 = 15HZT= $ = 0.2s period = 0.25 b. The same mass is pulled 5.0 cm away from the equilibrium position, then requency released. What will the period, the frequency, and the amplitude be? (5 Hz 4. A pendulum completes 30.0 oscillations per minute. Find its frequency, its period, and its length. frequency Period length 30 = 0.5Hz | T = 60 = 25 A = ² = 30 Properties of Waves 1. Radio waves travel at the speed of light (3.00 × 108 m/s). An amateur radio system can receive radio signals at frequencies between 8.00 MHz and 1.20 MHz. What is the range of the wavelengths this system can receive? 3 x 108 8 x 106 M< < 3 X 108 1.20 X 106 197 Range of the wavelengths this system can receive is 37.5m to z 2. Graph (a) below describes the density versus time of a pressure wave traveling through an elastic medium. Graph (b) describes the density versus distance for the same wave. mm 80.00 60,00 0.00 0.04 0.03 20,00 0.00 0.01 0,02 Time (s) 40,00 Distance (n) a. Use graph (a) to find the period of oscillation of this wave and its frequency. Period 0.2 s Fremienry 1-5 Hz b. Use graph (b) to find the wavelength and the speed.
Measuring Simple Harmonic Motion 1. A spring-mass system vibrates exactly 10 times per second. Find its period and its frequency. T=tos T=0. O.IS f = n = 10 Hz f = 10 Hz 2. A pendulum swings with a period of 0.20 seconds. Period=0-15 a. What is its frequency? frequency = 10 Hz I = 0₂20 s f = + = 0·₂0 = [(5+₂) 0.20 b. How many times does it pass the lowest point on its path in 1.0 second? in 7.0 seconds? 10 times, 1 sec -> 5 cycles = 2x5 = 10 times. 3. A spring-mass system completes 20.0 vibrations in 5.0 seconds, with a 2.0 cm amplitude. a. Find its frequency and its period. f = 20 = 15HZT= $ = 0.2s period = 0.25 b. The same mass is pulled 5.0 cm away from the equilibrium position, then requency released. What will the period, the frequency, and the amplitude be? (5 Hz 4. A pendulum completes 30.0 oscillations per minute. Find its frequency, its period, and its length. frequency Period length 30 = 0.5Hz | T = 60 = 25 A = ² = 30 Properties of Waves 1. Radio waves travel at the speed of light (3.00 × 108 m/s). An amateur radio system can receive radio signals at frequencies between 8.00 MHz and 1.20 MHz. What is the range of the wavelengths this system can receive? 3 x 108 8 x 106 M< < 3 X 108 1.20 X 106 197 Range of the wavelengths this system can receive is 37.5m to z 2. Graph (a) below describes the density versus time of a pressure wave traveling through an elastic medium. Graph (b) describes the density versus distance for the same wave. mm 80.00 60,00 0.00 0.04 0.03 20,00 0.00 0.01 0,02 Time (s) 40,00 Distance (n) a. Use graph (a) to find the period of oscillation of this wave and its frequency. Period 0.2 s Fremienry 1-5 Hz b. Use graph (b) to find the wavelength and the speed.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
Related questions
Concept explainers
Simple harmonic motion
Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.
Simple Pendulum
A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.
Oscillation
In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.
Topic Video
Question
please help with the two questions i boxed thank you!!
Transcribed Image Text:# Measuring Simple Harmonic Motion
1. A spring-mass system vibrates exactly 10 times per second. Find its period and its frequency.
- \( n = 10 \)
- \( T = \frac{1}{10} = 0.1 \text{s} \)
- \( f = n = 10 \text{Hz} \)
- **Answer:** \( f = 10 \text{Hz} \)
2. A pendulum swings with a period of 0.20 seconds. Find its frequency.
- **Given:** Period (\( T \)) = 0.20 s
- **Frequency (\( f \)) = \(\frac{1}{T}\) = \(\frac{1}{0.2}\) = 5 Hz**
- **Answer:** Frequency = 5 Hz
3. How many times does it pass the lowest point on its path in 10.0 seconds?
- In 1.0 second: 5 cycles
- In 10.0 seconds: \( 2 \times 5 = 10 \text{ times} \)
- **Answer:** 10 times
4. A spring-mass system completes 20.0 vibrations in 5.0 seconds, with a 2.0 cm amplitude.
- **Find its frequency and its period.**
- \( f = \frac{20}{5} = 4 \text{Hz} \)
- \( T = \frac{1}{5} = 0.25 \text{s} \)
- Period = 0.25 s
- Frequency = 5 Hz
- **Answer:** Frequency = 4 Hz, Period = 0.25 s
5. The same mass is pulled 5.0 cm away from the equilibrium position, then released. What will the period, the frequency, and the amplitude be?
- **Given:** Amplitude = 5.0 cm (fixed, unless amplitude changes)
6. A pendulum completes 30.0 oscillations per minute. Find its frequency, its period, and its length.
- **Frequency (\( f \)): \(\frac{30}{60} = 0.5 \text{Hz}\)**
- **Period (\( T \)): 1/f = \(\frac{60}{30
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps
Knowledge Booster
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.Recommended textbooks for you
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON