abigailcayton
13.01.2021 •
Physics
Determine the maximum velocity and maximum acceleration of a particle which moves in simple harmonic motion with an amplitude of 0.2 in and a period of 0.1 s.
Solved
Show answers
More tips
- F Family and Home Daughter says: If you don t want to do it, don t do it. Should we persuade her?...
- H Health and Medicine How Did Inna Lose Weight on Dom 2?...
- H Health and Medicine Coughing: Causes, Types, and Treatment Methods...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
Answers on questions: Physics
- P Physics The 2 kg object moving at 5 m/s in the previous problem falls off the edge of a table 1.2 meters above the ground. Determine the total mechanical energy of the object at the time...
- P Physics An object has ari acceleration of 18.0 m/s/s. If the net force was doubled and the mass was one-third the original value, then the new acceleration would be m/s/s....
- P Physics {100 POINTS + Brainliest} Driving home from school one day, you spot a ball rolling out into the street (see the figure (Figure 1)). You brake for 1.00 s , slowing your 920-kg car...
- P Physics Relative strength of magnetic field at a point in the space surrounding the magnet is shown by the...
- P Physics Even if it is wrong, why is a hypothesis important?...
- P Physics Which option characterizes science as a field of study? It rests on observations It provides answers to questions without testing It accounts for evidence in a way that feels satisfying...
- P Physics What makes a good scientific question? (1 point) o It helps decide the right choice in a situation. o It directs how to apply knowledge. O It is answered by observation and evidence....
- P Physics Complete this assessment to review what you ve learned. It will not count toward your grade. Which piece of evidence showed that claims about healing carbon fiber stickers were...
- P Physics As more information is found, some scientific theories are adapted and others are discarded. Because science can adapt to account for new information, it has proved durable over...
- P Physics Which of the following can be excluded when evaluating the reliability of a source? (1 point) O accuracy of data O timeliness of information O purpose of the author O length of...
Ответ:
When an object executes a to and fro motion is said to be a simple harmonic motion. The maximum velocity and maximum acceleration of the particle will be 12.566 in/s and 789.568 in/s².
What is simple harmonic motion?When an object executes a to and fro motion in the definite plane when it is tied with the string. The type of motion will be the simple harmonic motion.
Simple harmonic motion is a form of periodic motion in mechanics and physics in which the restoring force on the moving item is directly proportional to the size of the object.
The value of maximum velocity is given by the formula in the SHM motion is
The value of maximum acceleration is given by the formula in the SHM motion is
Hence the maximum velocity and maximum acceleration of the particle will be 12.566 in/s and 789.568 in/s²
To learn more about the simple harmonic motion refer to thr link;
link
Ответ:
The maximum velocity and maximum acceleration of the particle are approximately 12.566 inches per second and 789.568 inches per square second.
Explanation:
The equation of motion for the position of a particle experimentating a simple harmonic motion (), measured in inches, is described by the following expression:
(1)
Where:
- Amplitude, measured in inches.
- Time, measured in seconds.
- Period, measured in seconds.
- Phase, measured in radians.
Then, we obtain the formulas for the velocity and acceleration of the particle by differentiating (1):
(2)
(3)
From (2) and (3) we find that maximum velocity (), measured in inches per second, and maximum acceleration (), measured in inches per square second, are defined by the following formulas:
(4)
(5)
If we know that and , then the maximum velocity and maximum acceleration of the particle are, respectively:
The maximum velocity and maximum acceleration of the particle are approximately 12.566 inches per second and 789.568 inches per square second.
Ответ:
B.
Explanation: