Consider a 6-legged water-treader with a mass of 200 mg (milligrams) and perfectly-non-wetting legs of total combined length 20 mm standing on a freshwater pond. The body density is p = 1200 kg/m³. The equation for the upwards surface-tension force that prevents the water-treader from sinking is given by F = 2y L cos 0, where 0 is the angle of contact between the water and the legs, y is the surface tension of the water, and L is the total length of the non-wetting legs. [Useful parameters: Freshwater density, p = 1000 kg/m³; surface tension of water, y = 0.07 N/m.] %3D (a) What is the contact angle, 0, between water and a perfectly-non-wetting surface? degrees %3D (b) Without considering surface tension forces, what is the apparent weight of this water-treader? Wapp %3D (c) What is the minimum length of non-wetting limbs that this water treader NEEDS in order to be able to balance its apparent weight with the surface tension forces? Give your answer in mm. L = mm %3D
Consider a 6-legged water-treader with a mass of 200 mg (milligrams) and perfectly-non-wetting legs of total combined length 20 mm standing on a freshwater pond. The body density is p = 1200 kg/m³. The equation for the upwards surface-tension force that prevents the water-treader from sinking is given by F = 2y L cos 0, where 0 is the angle of contact between the water and the legs, y is the surface tension of the water, and L is the total length of the non-wetting legs. [Useful parameters: Freshwater density, p = 1000 kg/m³; surface tension of water, y = 0.07 N/m.] %3D (a) What is the contact angle, 0, between water and a perfectly-non-wetting surface? degrees %3D (b) Without considering surface tension forces, what is the apparent weight of this water-treader? Wapp %3D (c) What is the minimum length of non-wetting limbs that this water treader NEEDS in order to be able to balance its apparent weight with the surface tension forces? Give your answer in mm. L = mm %3D
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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![Consider a 6-legged water-treader with a mass of 200 mg (milligrams) and perfectly-non-wetting legs of total combined length 20 mm standing
on a freshwater pond. The body density is p = 1200 kg/m³.
The equation for the upwards surface-tension force that prevents the water-treader from sinking is given by
F = 2y L cos 0,
where 0 is the angle of contact between the water and the legs, y is the surface tension of the water, and L is the total length of the non-wetting legs.
[Useful parameters: Freshwater density, p = 1000 kg/m³; surface tension of water, y = 0.07 N/m.]
%3D
(a) What is the contact angle, 0, between water and a perfectly-non-wetting surface?
degrees
%3D
(b) Without considering surface tension forces, what is the apparent weight of this water-treader?
Wapp
%3D
(c) What is the minimum length of non-wetting limbs that this water treader NEEDS in order to be able to balance its apparent weight with the surface
tension forces? Give your answer in mm.
L =
mm
%3D](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd400780e-3958-4546-be7a-8b30973c1ded%2Fae5f8f75-64ed-4878-9f90-37496a203b42%2F6kl0tw_processed.png&w=3840&q=75)
Transcribed Image Text:Consider a 6-legged water-treader with a mass of 200 mg (milligrams) and perfectly-non-wetting legs of total combined length 20 mm standing
on a freshwater pond. The body density is p = 1200 kg/m³.
The equation for the upwards surface-tension force that prevents the water-treader from sinking is given by
F = 2y L cos 0,
where 0 is the angle of contact between the water and the legs, y is the surface tension of the water, and L is the total length of the non-wetting legs.
[Useful parameters: Freshwater density, p = 1000 kg/m³; surface tension of water, y = 0.07 N/m.]
%3D
(a) What is the contact angle, 0, between water and a perfectly-non-wetting surface?
degrees
%3D
(b) Without considering surface tension forces, what is the apparent weight of this water-treader?
Wapp
%3D
(c) What is the minimum length of non-wetting limbs that this water treader NEEDS in order to be able to balance its apparent weight with the surface
tension forces? Give your answer in mm.
L =
mm
%3D
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