The cylindrical tub of a dryer in a laundromat rotates counterclockwise about a horizontal axis at 41.5 rev/min as it dries the clothes. If the diameter of the cylinder is 0.748 m, at what angle will a piece of cloth lose contact with the wall of the cylinder and fall down? (Take the +x axis to be pointing horizontally to the right.) degree counterclockwise from the +x axis

Explanation:

Given that:

If we let the piece of the close lose contact at ∠θ;

Then ; from force balance;

we have:

where;

Again:

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80cm/s.

24cm/s.

53.3cm/s.