Cylinder charge ;)

Level pending

A long cylinder with radius R = 0,2 m rotates around its vertical axis with angular velocity ω = 1000 rad/s. The cylinder is in a homogeneous magnetic field with magnetic field strength B = 0,02 T whose lines are parallel with the axis of the cylinder. Neglect the induced magnetic field of the induced charges. What is their surface charge density in C/m^{2} ?

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