A wheel of unknown mass and known radius R is used in a lab experiment as shown in the figure. A
String is attached to the wheel and wrapped around it several times, and a small block of mass m is attached to the free end of the string. The block is released from rest and takes a time t to fall the distance D to the floor.
a) In terms of the given quantities and constants, calculate the following
i. The linear acceleration a of the falling block
ii. The angular acceleration α of the wheel as the block falls
iii. The tension T in the string as the block falls
iv. The torque τ on the wheel as the block falls