How Do You Calculate Frequency and Period for a Mass on a Spring?

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SUMMARY

The discussion focuses on calculating the frequency and period of a mass on a spring that vibrates 25 times in 50 seconds. The frequency (F) is determined using the formula F = 1/T, leading to a calculated frequency of 2 Hz. The period (T) can be derived as T = 1/F, resulting in a period of 0.5 seconds. The user expresses confusion regarding the length (L) required for further calculations using the formula T = 2π√(L/g).

PREREQUISITES
  • Understanding of basic harmonic motion principles
  • Familiarity with the formulas for frequency and period
  • Knowledge of gravitational acceleration (g = 9.81 m/s²)
  • Basic algebra skills for manipulating equations
NEXT STEPS
  • Learn how to derive the spring constant (k) from mass and frequency
  • Explore the relationship between mass, spring constant, and oscillation frequency
  • Study the effects of damping on oscillatory motion
  • Investigate the application of Hooke's Law in real-world scenarios
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Students studying physics, particularly those focusing on mechanics and oscillations, as well as educators looking for practical examples of harmonic motion calculations.

Brownie7
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Waves and Sound Vibrations Question Urgent Please Help??

Homework Statement


A mass suspended from the end of a spring vibrates up and down 25 times in 50s. What ar ethe frequency and period of the vibration.


Homework Equations


F = 1/T
T = 2(pie)3.14(squrroot)L/g


The Attempt at a Solution


F = 1/T
or is it:
F = 50/25
F = 2Hz?

T = 2(3.14)(sqrroot) but what is the L?

I'm very confused and I need to finish this soon!:confused::frown::cry:
 
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Frequency = number of vibrations per second.
Period T = time for one vibration = 1/f
 

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