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by what factor would the torsion constant need to be changed to make the smaller balance wheel oscillate at the original frequency? express your answer using three significant figures.

Sagot :

ogorwyne

The factor through which the constant would have to change is given as 0.00412

How to solve for the oscillation frequency

The moment of inertia is expressed as I = mr²

mass and volume has the relationship that is written as:

m = pV

m α V

mass is directly proportional to volume

m∝r³

m ∝ (1/3)³ = 1 / 27

the moment of inertia can be decreased by: 1 / 27 * (1 / 3)²

= 1 / 243

a. The angular frequency is gotten by

√1 / I

[tex]\sqrt{\frac{1}{1/243} }[/tex]

= 243

The factor through which the torsion constant would have to be reduced is given as 1 / 243

= 0.00412

There was a decrease of 0.00412

Read more on oscillation frequency here: https://brainly.com/question/29583636

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Your boss at the Cut-Rate Cuckoo Clock Company asks you whatwould happen to the frequency of the angular SHM of the balancewheel if it had the same density and the same coil spring (thus thesame torsion constant), but all the balance wheel dimensions weremade one-third as great to save material.

By what factor would the torsion constant need to be changedto make the smaller balance wheel oscillate at the originalfrequency?

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