Find the period of a particle with only max vel. and amplitude

In summary, the conversation discusses the topic of simple harmonic motion (SHM) and finding the period of an object that moves with SHM. The conversation mentions equations that can be used to calculate the maximum acceleration and velocity of the object, as well as the period. The person asking for help is struggling to find the correct equations, but the other person provides some helpful hints and confirms that they should be able to find the answer.
  • #1
here to help
3
0
A particle moves with SHM of amplitude 10 cm and a maximum speed of 0.5 m/s. ...find the objects period
 
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  • #2
Do you know any equations relating to SHM that might help?
 
  • #3
no , been trying for the last hour to find one that could help
 
  • #4
The basic equations should be available to you if you are studying SHM !
Do you know that max acceleration is given by ω^2 A (A is amplitude) and that
Max velocity is given by ωA
and that T = 2π/ω

Hope this will help you
 
  • #5
Max vel = ωA , didnt know that . think that solves it ... thanks very much technician
 
  • #6
thats it... you should be able to get an answer.
 

What is the formula for finding the period of a particle with only maximum velocity and amplitude?

The formula for finding the period of a particle with only maximum velocity and amplitude is T = 4A/Vmax, where T is the period, A is the amplitude, and Vmax is the maximum velocity.

Is the period of a particle with only maximum velocity and amplitude affected by the mass of the particle?

No, the period of a particle with only maximum velocity and amplitude is not affected by the mass of the particle. This is because the period only depends on the amplitude and maximum velocity of the particle, not its mass.

Can the period of a particle with only maximum velocity and amplitude be calculated if the amplitude is not given?

No, the period of a particle with only maximum velocity and amplitude cannot be calculated if the amplitude is not given. The amplitude is a necessary component in the formula for finding the period.

What is the relationship between the period and frequency of a particle with only maximum velocity and amplitude?

The period and frequency of a particle with only maximum velocity and amplitude are inversely proportional. This means that as the period increases, the frequency decreases, and vice versa.

Can the period of a particle with only maximum velocity and amplitude be greater than the total time of its motion?

Yes, the period of a particle with only maximum velocity and amplitude can be greater than the total time of its motion. This can occur if the maximum velocity is reached multiple times within the given time frame, resulting in a longer period.

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