Objective:The objective of this experiment was to determine the moment of inertia (also known as rotational inertia) of a free-rotational system by applying the known torque and measuring the resulting angular acceleration of the system. Data: Table 1:Data for Moment of Inertia CalculationRadius of Spindle, r = 0.0125 meterMass of Platter, m = 1.4232 kgDiameter of Platter, D = 0.217 kg(∴ Radius of Platter, R = 0.1085 meter)Idisk(=12MR2) = 8.3×10−3kg ∙ m2Angular Acceleration, ∝I= 0.051 rad s⁄Frictional Torque, τf= I ∝I= (8.3×10−3)(−0.051)= −4.2×10−4N ∙ mTable 2: Data for Moment of Inertia MeasurementApplied Mass 𝐦(𝐤𝐠)Angular Acceleration ∝(?𝐚𝐝 ??⁄)Cord Tension 𝑻 = 𝒎(?−∝ 𝒓)(𝐍)Applied Torque 𝝉 = 𝑻𝒓(𝐍 ∙ 𝐦)0.0350.4100.3434.29×10−30.0550.7520.5386.73×10−30.0751.0180.7349.18×10−30.0951.2840.9291.16×10−20.1151.5431.121.40×10−2Table 3: Changes in Torque and Moment of Inertia𝝉?= 𝑰 ∝𝑰(𝐍 ∙ 𝐦)𝒃 = ? − 𝒎?(𝐍 ∙ 𝐦)∆𝝉 =𝝉?− 𝒃𝝉?×???(%)𝒎 =??− ????− ??(𝐤𝐠 ∙ 𝐦?