A basin surrounding a drain has the shape of a circular coneopening upward, havi

Question

A basin surrounding a drain has the shape of a circular coneopening upward, having everywhere an angle of 32.0° with the horizontal. A 24.0 g ice cube is set sliding around the cone withoutfriction in a horizontal circle of radius R.

(a) Find the speed the ice cube must have as it depends on R.(Accurately round any coefficients to exactly three significantfigures.)

(b) Is any piece of data unnecessary for the solution?

(c) If yes, what information is unnecessary?

(d) Suppose R is made two times larger. Will the requiredspeed increase, decrease, or stay constant?

(e) If it changes, by what factor? If it does not change, enter NOCHANGE.
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(f) Will the time required for each revolution increase, decrease,or stay constant?

(g) Do the answer to parts (c) and (d) seem contradictory?

Explanation / Answer

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