What is Tension: Definition and 1000 Discussions

Surface tension is the tendency of liquid surfaces at rest to shrink into the minimum surface area possible. Surface tension is what allows heavier than water i.e., denser than water objects such as razor blades, insects (e.g. water striders), to float and slide on a water surface without becoming even partly submerged.
At liquid–air interfaces, surface tension results from the greater attraction of liquid molecules to each other (due to cohesion) than to the molecules in the air (due to adhesion).There are two primary mechanisms in play. One is an inward force on the surface molecules causing the liquid to contract. Second is a tangential force parallel to the surface of the liquid. This tangential force (per unit length) is generally referred to as the surface tension. The net effect is the liquid behaves as if its surface were covered with a stretched elastic membrane. But this analogy must not be taken too far as the tension in an elastic membrane is dependent on the amount of deformation of the membrane while surface tension is an inherent property of the liquid–air or liquid–vapour interface.Because of the relatively high attraction of water molecules to each other through a web of hydrogen bonds, water has a higher surface tension (72.8 millinewtons (mN) per meter at 20 °C) than most other liquids. Surface tension is an important factor in the phenomenon of capillarity.
Surface tension has the dimension of force per unit length, or of energy per unit area. The two are equivalent, but when referring to energy per unit of area, it is common to use the term surface energy, which is a more general term in the sense that it applies also to solids.
In materials science, surface tension is used for either surface stress or surface energy.

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  1. W

    Waves MC Question - 2 strings, same tension, different μ

    Homework Statement A long string is constructed by joining the ends of two shorter strings. The tension in the strings is the same but string I has 4 times the linear mass density of string II. When a sinusoidal wave passes from string I to string II: A. the frequency decreases by a...
  2. S

    Surface tension and concentration

    when we try to measure surface tension of different concentrated solutions of n-butanol with a tensiometer, we have to go from lower to higher concentration and not the other way around. what is the reason for that?
  3. U

    How the tension is calculated?

    A massless rod of length L attached to mass m and with axle to cart of mass M. The cart has a shape of equilateral triangle (edge L). the cart is at rest and its center of mass is above x=0 and a rod is perpendicular to the ground. the cart is free to move without friction. at time t=0 the mass...
  4. M

    Bending pipe - compression and tension

    Hi, I'm a bit confused. Say you're bending a cylindrical pipe (tube, hollow cylinder). So the neutral axis of the pipe will be in the middle of the pipe and all the material on the inside of the bend (to one side of the neutral axis) will be in compression, while all the material on the...
  5. C

    Supposedly Simple Tension Problem

    Q: You are pulling your younger sister along in a small wheeled cart. You weigh 65.0 kg and the combined mass of your sister and the cart is 35.0 kg. You are pulling the cart via a short rope which you pull horizontally. You hold one end of the rope and your sister holds the other end. If you...
  6. B

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    Homework Statement What is the tension of the string? Mass of piano string- 3.5g Lenght of piano string- 75cm Fundamental frecuency- 469Hz Homework Equations λ=2L/n ? Dont know where to start.
  7. A

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    Unfortunately there's no link to the test. This is from the test administered a month ago. Homework Statement A choppah is flying horizontally at constant speed. A perfectly flexible uniform cable is suspended beneath the choppah; air friction on the cable is NOT negligible. Which of...
  8. G

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    Can someone please tell me how my teacher got Acceleration of 1.44m/s^2? I don't see how its even possible without another force acting on the object
  9. 8

    A rope in tension between Earth and Moon

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  10. D

    Tension of a particle problem

    Homework Statement A particle P of mass m is suspended from two strings AP and BP where A and B are attached to 2 points on a horizontal ceiling distance 5l/4 apart as shown in the figure. AP is inelastic and of length l. The modulus of elasticity of BP is λ. Show that the natural length L...
  11. B

    Why is one Tension Negative and the Other Positive - Atwood Machines

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  12. F

    Calculating Tension for a Box on a Horizontal Surface with Friction

    Homework Statement Due to friction, a force of 400 N is required to pull a wooden box on the floor. The cord used to pull the box makes an angle of 56° horizontally. How much tension should be on the cord to be able to pull the box? Homework Equations W = Fd * (cosθ) Tension =...
  13. S

    Tension of dangling box

    Homework Statement A 50 kg woman dangles a 50 kg mass from the end of a rope. If she stands on a frictionless surface and hangs the mass over a cliff with a pulley as shown, the tension in the rope will be... Homework Equations F = m*a The Attempt at a Solution (no calculator...
  14. T

    Calculating the Distance Between Two Bubbles in Contact

    Homework Statement Two bubbles, one of radius R and the other of radius 3R come into contact with each other. What is the distance between the centres of the two bubbles? Ignore the weight of the bubbles. Homework Equations p(inside bubble)= p(atm) + 4T/R where T is the surface tension and R...
  15. X

    Standing Waves Tension and wavelength

    Homework Statement Please see the picture. Homework Equations How do they get this derivation? The Attempt at a Solution I know that lambda = 2L/n and f = nV/2L so I can somewhat rearrange it myself, but I do not know where the square root is coming from.
  16. M

    Compute the distance x and tension of each cable

    Homework Statement The thin steel plate, weighing 82lb/ft^2, is being lifted slowly by the cables AC and BC. Compute the distance x and find the corresponding tension in each of the cables. [See attachments for Figure] Homework Equations Summation of X = 0 Summation of Y = 0 Moment=Rd...
  17. T

    What is the Maximum Speed at Point Q Without Breaking the String?

    Homework Statement The maximum tension the string can have without breaking is Tmax. Derive an expression for Vmax, the maximum speed the ball can have at point Q without breaking the string. Homework Equations F=ma Vc=(mv^2)/r T=mg+ma The Attempt at a Solution I thought I could do...
  18. R

    Determining Surface tension of a liquid with Poiseulle's Law

    Hi. I am doing a physics project and we have been told by my lecturer to find out how to determine the surface tension of a liquid using Poiseulle's Law and to describe an experiment on how to do so. I have no idea how you could do this because none of the variables in the law relate to surface...
  19. D

    Surface tension dependence on temperature

    Hello, I am looking for a general formula for the surface tension dependence with respect to temperature. I am aware of the Eötvös rule (http://en.wikipedia.org/wiki/E%C3%B6tv%C3%B6s_rule), but I only found data for water, and wonder if there are some for other compounds. Also, I wonder...
  20. C

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    Homework Statement "Block A has mass ma=4.0kg, and block B has mass mb=2.0kg. The coefficient of kinetic friction between block B and the horizontal plane is μk=0.50. The inclined plane is frictionless and at angle θ=30°. The pulley serves only to change the direction of the cord connecting...
  21. M

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  22. T

    Understanding Tension and Acceleration: A Helpful Explanation

    My question is how do you find the acceleration if you don't know the Tension. If someone could just elaborate on the question as a whole it would be very helpful. I didn't really know anything about how to do this problem.
  23. I

    Empty elevator with a max speed going down, find tension on cable.

    My apologies for asking two questions in a short period of time, this is the last question I have. Hopefully one day I'll be skilled enough to answer everyone elses! :) Homework Statement An empty elevator has a mass of 722 kg. It moves between floors at a maximum speed of 6.00 m/s. The...
  24. I

    Find the tension between two train carts as the train brakes.

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  25. Adithyan

    What Drives Surface Tension in Liquids?

    I am studying surface tension and I am summing up what I have learned through books till now: → On a molecular level, due to unbalanced forces on the uppermost level, the liquid molecules tend to go down the liquid. → As the molecules go down, the uppermost layer shrinks in size and tries...
  26. Conservation

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  27. C

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  28. H

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  29. Z

    Calculate Tension on Rope for Boat in Wind Up to 3000 lbs

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  30. Z

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    My boat is tethered to a rope that can withstand a maximum of 8000 pounds of tension. The wind will exert, at maximum, 3000 pounds of force on the boat. How do I calculate the tension on the rope based on the angles that the rope is at? does it make a difference if the boat is stationary, or if...
  31. J

    Can someone explain this please? Weird pulley with Tension

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  32. Rugile

    Surface tension and capillary tube

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  33. M

    How is the tension equal in both sides of the string

    How is the tension equal in both sides of the string, if the string is over a pulley with two different masses attached to its sides?
  34. PsychonautQQ

    Tension in Wire: Solve 8kg Ball Elastic Collision

    Homework Statement a 8kg ball is hanging from a 1.35m string. A 2 kg ball moving horizontally at 5m/s hits the hanging 8kg ball in an elastic collision. What is the tension in the string just after the collision? Homework Equations The Attempt at a Solution Initially there is only...
  35. S

    Calculating Tension in Two Ropes with a 5kg Object | Quick Homework Solution

    Homework Statement A 5 kg mass is attached to two ropes as indicated in the figure below. Find the tension in both ropes. Homework Equations Ʃy= 0 Ʃx = 0 The Attempt at a Solution Mass of object: 5 * 9.81 = 49.05 T1 sin 30 - T2 cos 20 = 49.05 T1 cos 30 + T2 sin 20 = 0...
  36. G

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  37. N

    Why is Joint IH in Tension?

    Homework Statement Determine whether each joint is in tension or compression (correct answers on the image) Homework Equations sum of force = 0 The Attempt at a Solution On Joint I, I don't understand why IH is in tension. The pin is exerting a horizontal force and...
  38. N

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  39. N

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  40. N

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  41. P

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    Homework Statement The block moves at 2.3 m/s to the left (on a flat, horizontal surface). If μk, the coefficient of friction between the block and the floor, is .40, what is the tension in the rope? Also, the weight of the block is 9.8 NHomework Equations No equations were given... but I used...
  42. K

    Find the tension in the horizontal cable that supports the boom

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  43. C

    Can anyone check my working on the tension upcoming test question

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  44. R

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    Homework Statement a 0.60 kg sphere rotates around a vertical shaft supported by 2 strings, as shown. if the tension in upper string is 18N calculate. a) tension in lower string? b) rotation rate (in rev/min) of the system. Homework Equations The Attempt at a Solution...
  45. Boxlife27

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  46. J

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  47. C

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  48. F

    Tension in rods of different materials and diameters

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  49. M

    Calculate the tension in the rope

    If the gymnast has a mass, m = 36.7 kg, and the angle θ = 4.0°, calculate the tension in the rope from which she is hanging. ƩFx = T1x - T2x = 0 Then T1cos4 = T2cos4 T1 = T2 = T ƩFy = 2Ty - mg 2Tsin4 = mg T = mg/2sin4 = 2578 N I have gotten the solution. I am just confused at...
  50. J

    Why Does Tension Vary on Different Sides of an Accelerating Pulley?

    Sometimes when I see pulley and rope questions people will say "for a non-extensible rope the tension is uniform throughout the rope". But I am now learning pulleys and rotational inertia and it seems to be necessary to consider the rope on either side of a pulley to have _different_ tension if...
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