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 frequency change?
Would the frequencyincrease or decrease by the factor found in part ?
By what factor would thetorsion constant need to be changed to make the smaller balancewheel oscillate at the original frequency?
Would the torsion constantneed to be increased or decreased by the factor found in part?