Question

4. Rotating Experiments (Non-Inertial Reference Frame) Imagine that you are on a large rotating disk, with perpendicular to the disk at its center. Assume that you know that the center of the disk is fixed and that no real forces act on anything on the disk (except gravity (pulling downward) and the normal force (upward), which cancel each other out). As sume that changes only in magnitude, and that the rate of this change is constant. Is it possible for you to determine w and d/dt, and also the location of the center of the disk, by performing experiments in the rotating frame only? Explain your experiments!

Answer 1

Given that A large rotating disk, with w^rightarrow perpendicular to the disk at its center. To determine w and dw/dt Determining w: maintain a constant velocity for the disk Note down the time it takes for the dis c to complete one complete rotation this is called the time period (T) of the disk the value of w is given by 2 pi/T Determining dw/dt: Consider two different velocities v_1 and V_2 calculate the w values corresponding to these velocities in the above mentioned to be t_1 and t_2 respectively now dw/dt = (w_1 - w_2)/(t_2 - t_1) Determining the center of the disc As the observer is on the disc, he she will issue have to move to a point on the disc where he she can be stable without falling which the center of the disc.