Find Amplitude of Motion: v=-6.54sin(20.1t) (mks units)

  • Thread starter Thread starter zachmgilbert
  • Start date Start date
  • Tags Tags
    Amplitude
Click For Summary

Homework Help Overview

The discussion revolves around determining the amplitude of motion from the equation v=-6.54sin(20.1t), with a focus on understanding the relationship between angular frequency and amplitude in the context of wave motion.

Discussion Character

  • Exploratory, Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the relationship between the given equation and the concepts of amplitude and angular frequency. Some question the interpretation of the equation and its components, while others attempt to relate it to wavelength and frequency.

Discussion Status

The discussion includes attempts to clarify misunderstandings about the equation's form and its implications for amplitude. Some participants express uncertainty about their calculations and whether their approaches are valid, indicating a mix of exploration and clarification.

Contextual Notes

There is mention of using the period to find time and concerns about rounding affecting the accuracy of results. Participants are also navigating assumptions about the relationships between velocity, amplitude, and frequency.

zachmgilbert
Messages
10
Reaction score
0

Homework Statement


what is the amplitude of the motion v=-6.54sin(20.1t) (mks units)
angular frequency=20.1

Homework Equations


v=wAcoswt


The Attempt at a Solution


I think the wavelength is 6.54 since 20.1 is the frequency. v =6.2 m/s. I am missing time.
 
Physics news on Phys.org
update: i used T=1/f to find time, divided by four because that's when the displacement will be maximum plugged all this in and got .32, the correct answer I know is .33. I didn't round to the end so I feel like this is luck and not the correct way, am i making this too difficult?
 
zachmgilbert said:
update: i used T=1/f to find time, divided by four because that's when the displacement will be maximum plugged all this in and got .32, the correct answer I know is .33. I didn't round to the end so I feel like this is luck and not the correct way, am i making this too difficult?

If you know v is in the form v=-ωAsin(ωt) = -6.54sin(20.1t), then shouldn't ωA=6.54 and you know ω=20.1
 
You are correct. I thought v=-6.54sin(20.1t) was a form of v=λf and I couldn't figure out where the sin and t came from. Thank you for helping me with a stupid mistake.
 

Similar threads

Calculating Time for Simple Harmonic Motion
  • · Replies 1 ·
Replies
1
Views
2K
What is the potential energy of the spring?
  • · Replies 7 ·
Replies
7
Views
2K
How to Calculate Amplitude Decrease in Damped Harmonic Motion After 10 Cycles?
  • · Replies 3 ·
Replies
3
Views
988
Difference between maximizing amplitude by choosing omega_0 given omega_d versus choosing omega_d given omega_0.
  • · Replies 4 ·
Replies
4
Views
1K
Seeking advice on "simple" pendulum problem
  • · Replies 27 ·
Replies
27
Views
2K
Difference between resonance in undamped vs damped mass-spring-dashpot
  • · Replies 17 ·
Replies
17
Views
3K
Mass atop four springs with external input: Reduce vibration amplitude by factor of ten
  • · Replies 3 ·
Replies
3
Views
1K
Amplitude relation with periodic time
  • · Replies 3 ·
Replies
3
Views
2K
What Is the Correct Source Voltage Amplitude for Desired Power in an AC Circuit?
  • · Replies 19 ·
Replies
19
Views
6K
Finding Parameters for Simple Harmonic Motion at t=1
  • · Replies 1 ·
Replies
1
Views
2K