Question

008 (part 1 of 3) 10.0 points A clock balance wheel has a period of oscil lation of 0.29 s. The wheel is constructed so that
concentrated around rim of radius 0.5 cm What is the angular velocity of oscillation? Answer in units of 1/s 009 (part 2 of 3
0 0
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Answer #1

1) Angular velocity of oscillation :

Given: T =0.29 s

w= 2π/T

w = 2×π/ 0.29

w= 21.65(1/s)

2) Moment of inertia(I)

Given : m = 22g=0.022kg , r =0.5cm=0.005

I = mr²

I = (0.022)×(0.005)

I=0.00011kg/m²

3) Torsion constant (K) of the spring

T= [2π(√I)]/K

K= [2π(√I)]/T

K=[ 2π(√(0.00011)]/0.29

K=0.2271Nm

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