Torque and Rotational Inertia

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Lab 127: Torque and Rotational Inertia Lab Course: Physics 111A-107 – Physics 1 Lab Date: November 22, 2019 Introduction Background Torque is the quantity used to measure and define the force t ... hat causes an object to rotate about some axis. The equation for torque is τ=Fr , where τ is torque, r is the shortest distance between the line of F and the axis of rotation and F is the force applied. If the object is rotated counterclockwise then the torque is positive, otherwise it is negative. When a rigid body is rotated about a fixed axis it experiences a net torque, ∑τ , that is proportional to its angular acceleration α ; where ∑τ=Iα (‘I’ is the rotational inertia). In this lab the rotational inertia of a disk, rotation about its center and diameter, and a ring will be determined by using a known torque and a measured angular acceleration, I= τ α . Where τ is the torque caused by a falling mass ( τ=rT ,T is thetension∈the string¿ . By applying and rearranging Newtons Second Law T=m(g−a) . Theoretical the moment of inertia for a disk rotating about its axis is I=1 2 M R2 while I=1 4 M R2 is the inertia of a disk rotating about its diameter. The inertia of a ring rotating about its center is given by I=1 2 M (R12+R22) where R1 is the inner radius and R2 is the outer radius of the ring. During the experiment the experimental values of inertia will be compared with the theoretical values [Show More]

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