Q. In a charming 19th-century hotel, an old-style elevator is connected to a counterweight by a cable that passes over a rotating disk 3.50 m in diameter. The elevator is raised and lowered by turning the disk, and the cable does not slip on the rim of the disk but turns with it.

At how various rpm must the disk turn to raise the elevator at 25cm/s?

To start the elevator moving, it must be accelerated at {textstyle{1 over 8}},g. What must be the angular acceleration of the disk, in {rm{rad/s}}^2?

By what angle (in radians) has the disk turned while it has raised the elevator 3.35m between floors?

By what angle (in degrees) has the disk turned while it has raised the elevator 3.35m between floors?