Calculate Force Constant of Spring: Vibrational Frequency 7.00/s

In summary, the question involves two masses attached by a spring with a vibrational frequency of 7.00 s-1. The task is to calculate the force constant of the spring, the zero point energy, and the potential energy at a maximum displacement of 0.5 cm. The homework equations provided are not relevant and an equation for SHM on a spring is needed.
  • #1
XwakeriderX
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Homework Statement



Two 3.5 g masses are attached by a spring has a vibrational frequency of 7.00 s-1. Calculate
(a) the force constant of the spring; (b) the zero point energy; (c) the potential energy if the
maximum displacement is 0.5 cm.

Homework Equations


k=((2πcω)^2)μ
E=(1/2)hcw

(NOTE: The omega(w) in the formulas has a ~ over the top representing wave number which has the units 1/cm)

The Attempt at a Solution



The question gave me the vibrational frequency of 7.00/s. I don't how to put the frequency in terms of 1/cm so i can plug it into the force constant formula
 
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  • #2
These don't look like the right equations for the problem. They're from optics, not mechanics. Do you not have an equation for the SHM of a mass on a spring?
 

Related to Calculate Force Constant of Spring: Vibrational Frequency 7.00/s

1. How do you calculate the force constant of a spring?

The force constant of a spring can be calculated using the formula k = mω², where k is the force constant, m is the mass of the object attached to the spring, and ω is the vibrational frequency.

2. What is the significance of the force constant in relation to a spring's vibrational frequency?

The force constant of a spring is directly related to its vibrational frequency. A higher force constant indicates a stiffer spring with a higher vibrational frequency, while a lower force constant indicates a more flexible spring with a lower vibrational frequency.

3. How do you determine the vibrational frequency of a spring?

The vibrational frequency of a spring can be determined by measuring the period of one full oscillation (T) and using the formula ω = 2π/T.

4. Can the force constant of a spring change?

Yes, the force constant of a spring can change if the spring is stretched or compressed beyond its elastic limit. The force constant may also change if the mass attached to the spring is altered.

5. Are there any factors that can affect the accuracy of calculating the force constant of a spring?

Some factors that can affect the accuracy of calculating the force constant of a spring include errors in measuring the period of oscillation, variations in the mass attached to the spring, and external forces acting on the spring.

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