a)
Take into account that the Second Newton law can be formulated as follow:
F = m*a
where F is the applied force on a body with mass m, which acquires an acceleration a.
In order to determine the acceleration in the first experiment, it is necessary to know what is the mass of the student and the chair (because over them the force is applied)
b)
Consider that if a body describes an angular motion, then, the relation between the angular velocity and the linear velocity is given by:
ω = v/R
where w is the angular velocity, v is the linear velocity and R is the radius of the cicrular trajectory described by the body.
Then, as you can notice, to determine the angular velocity of the student in the chair, it is necessary to know what is the radius of the trajectory.