Question

B. Rotational System (0-4) Find the theoretically predicted period of the torsional pendulum. Derive an expression for Tos in terms of the torsional spring constant (r) and the rotational inertia of the disk (1) Find the torsional spring constant. 15.0cm 7.50 cm radius Torsion lathe diameter hanging mass (g) 50 torque (Nm) 150 250 350 450 37.5 46-2 55-3 G3.1 71.1 angular position (deg) angular position (rad)

Answer 1

Data: www.mira multicolour.com au torsional spring corstom tak rotational inertia of dyrz I torque Z=-ko T= do atz I do #tfoco diz do dit? +(]020 (this is egth of su ti to angular frequency wake I time period T=2T w T=2T * torsional spring Carytemti (K) torsion lathe diameter = 15.0cm, radias (R)= 7.50 m PRI Mgr te c0-06 Ko Koot Mg R ☺ = bag Rey M + do je R =

www.mira mullcolour.com 350 med harging mass (g so 150 250 450 torgue (N-m) 36.75X02 110.25% 0%163-75x18 257.25%82330075XAB angular position des 37.5 46.2 55.3 63.1 741 aryutar position (rad) 0.654 10.806 0.965 1-1 01 1241 f II. K= 491 4840713? N-m) SK = 0.4x153N-m) = (4.77.7kg fost a Mac diameter = 0.254m rading -0.127 m + I- z MR 2 010385 (g-my I Tthe 2T the alt 010385 0.484 4.17 Altha orol sec Ttha 7. 77 50101

PAJ Page No. Date: w.mir.mullochour.com Qo TRE bevod of pendulum experimentally Commons st 35:3835:21. 135.27 35. 43 35.29 time (og No of Cycles 2 20 20 20 20 feriod(os 176 1.77 1.77 1.76 1.76 Teop= 1.76 Foi ot almost match Tth & Text ohne wanoid