In a home laundry dryer, a cylindrical tub containing wet clothes is rotated steadily about a horizontal axis, as shown in the figure below. So that the clothes will dry uniformly, they are made to tumble. The rate of rotation of the smooth-walled tub is chosen so that a small piece of cloth will lose contact with the tub when the cloth is at an angle of 0 = 74.5° above the horizontal. If the radius of the tub is r = 0.455 m, what rate of revolution is needed in revolutions per second? rev/s

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In a home laundry dryer, a cylindrical tub containing wet clothes is rotated steadily about a horizontal axis, as shown in the figure below. So that the clothes will dry uniformly, they are made to tumble. The rate of rotation of the smooth-walled tub is chosen so that a small piece of cloth will lose contact with the tub when the cloth is at an angle of θ = 74.5° above the horizontal. If the radius of the tub is r = 0.455 m, what rate of revolution is needed in revolutions per second?

**Figure Description:**
The figure is a side view of a cylindrical tub, showing clothes tumbling inside it. The tub is rotating in the clockwise direction. An angle θ = 74.5° is marked above the horizontal line passing through the center of the tub. The radius of the tub, r, is given as 0.455 meters.
Transcribed Image Text:In a home laundry dryer, a cylindrical tub containing wet clothes is rotated steadily about a horizontal axis, as shown in the figure below. So that the clothes will dry uniformly, they are made to tumble. The rate of rotation of the smooth-walled tub is chosen so that a small piece of cloth will lose contact with the tub when the cloth is at an angle of θ = 74.5° above the horizontal. If the radius of the tub is r = 0.455 m, what rate of revolution is needed in revolutions per second? **Figure Description:** The figure is a side view of a cylindrical tub, showing clothes tumbling inside it. The tub is rotating in the clockwise direction. An angle θ = 74.5° is marked above the horizontal line passing through the center of the tub. The radius of the tub, r, is given as 0.455 meters.
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