Pendulum-displacement-amplitude of vibration

  • Thread starter Thread starter kcmccraw
  • Start date Start date
  • Tags Tags
    Vibration
AI Thread Summary
The discussion centers on calculating the amplitude of a swing's vibration, where a child swings through a total of 42 degrees. It is clarified that amplitude represents the maximum displacement from the equilibrium position, which in this case is half of the total swing angle, resulting in an amplitude of 21 degrees. The small angle approximation is mentioned, indicating that this calculation is valid for angles below 45 degrees. Participants confirm that the correct answer is indeed 21 degrees, reflecting a successful understanding of the concept. The conversation emphasizes the relationship between total displacement and amplitude in oscillatory motion.
kcmccraw
Messages
2
Reaction score
0

Homework Statement


A child on a playground swings through a total of 42 degrees. If the displacement is equal on each side of the equilibrium position, what is the amplitude of this vibration?
(Disregard frictional forces acting on the swing)

The Attempt at a Solution


I know amplitude is the maximum displacement, but I am not sure how to get the answer with the degrees.
Would it just be 42 degrees?
 
Physics news on Phys.org
Just came to my mind: usually amplitude of a sinusoidal function is taken from equilibrium position to maximum displacement, so it would be 21 degrees. If the small angle approximation holds (usually you can assume it holds for amplitudes below 45 degrees) the angular position of the boy could be described by:

angle = 21 cos (2*pi/T * t) [degrees]

where T is the oscillation period.

kcmccraw said:

Homework Statement


A child on a playground swings through a total of 42 degrees. If the displacement is equal on each side of the equilibrium position, what is the amplitude of this vibration?
(Disregard frictional forces acting on the swing)




The Attempt at a Solution


I know amplitude is the maximum displacement, but I am not sure how to get the answer with the degrees.
Would it just be 42 degrees?
 
yeaaaa it's 21! i got it right on the test a few days ago i had to guess though :( :D thanks.
 
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »
Thread 'Struggling to make relation between elastic force and height'

Thread 'Struggling to make relation between elastic force and height'

Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
View full post »

Similar threads

Are These Physics Questions Correct in English and Science?
Replies
6
Views
2K
Difference between resonance in undamped vs damped mass-spring-dashpot
Replies
17
Views
2K
Calculate Max Velocity of Mass Vibrating: 0.3kg, 200Nm-1, 10mm
Replies
7
Views
3K
At what angular frequencies is the amplitude half of its resonant value?
Replies
1
Views
2K
Calculate the New Velocity and the Velocity of a Pendulum Mass
Replies
1
Views
1K
Swinging, equilibrium, kinetic energy problem
Replies
2
Views
2K
Calculating Amplitude in Simple Harmonic Motion
Replies
1
Views
2K
Amplitude of a Damped, Driven Pendulum
Replies
7
Views
7K
Wavelength from amplitude information?
Replies
4
Views
2K
Shm , calculation of amplitude of spring mass system
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top