Upthrust (CIE AS Physics)

Revision Note

Leander

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Leander

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Upthrust

  • Upthrust is a force which pushes upwards on an object submerged in a fluid (liquids and gases)
  • Also known as buoyancy force, upthrust is due to the difference in hydrostatic pressure at the top and bottom of the immersed object
  • The force of upthrust is significantly greater in liquids than in gases, this is because liquids are much denser than gases
  • Recall that hydrostatic pressure depends on the height (h) or depth that an object is submerged in from p = ρgh
  • Therefore, the water pressure at the bottom of an object is greater than the water pressure at the top

Upthrust on a cylinder immersed in water

Upthrust, downloadable AS & A Level Physics revision notes

The cylindrical object will experience upthrust due to the difference in hydrostatic pressure

  • Upthrust is a force and is directly proportional to the pressure. The force on the bottom of the can will be greater than the force on top of the can
  • This resultant pressure causes a resultant upward force on the can known as upthrust
  • Upthrust is why objects appear to weigh less when immersed in a liquid. If the upthrust is greater than the weight of the object, the object will rise up
  • For an object to float, it must have a density less than the density of the fluid it is immersed in

Worked example

A steel cube with cross-sectional area of 2 m2 is totally immersed in water. The scale balance reading is reduced when the cube is immersed.

The cube experiences pressures of 3000 Pa and 7700 Pa at the top and bottom of the cube respectively.

Which value is equal to the upthrust on the cube during immersion?

A. 9400 N          B. 6000 N          C. 15400 N          D. 92210 N

Answer: 

Step 1: List the known quantities

  • Pressure at top = 3000 Pa
  • Pressure at bottom = 7700 Pa
  • Cross-sectional area of cube, A = 2 m2

Step 2: State the pressure equation and rearrange to make force the subject

p space equals space F over A

F space equals space p A

Step 3: Substitute in the known values to calculate

  • The value for pressure needed is the change in pressure between the top and the bottom of the cube

F space equals space open parentheses 7700 space minus space 3000 close parentheses space cross times space 2

F space equals space 9400 space straight N

  • Therefore, the correct answer is A

Examiner Tip

Since upthrust is a force, it is influenced by pressure, not by the density of the object as commonly misunderstood.

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Leander

Author: Leander

Expertise: Physics

Leander graduated with First-class honours in Science and Education from Sheffield Hallam University. She won the prestigious Lord Robert Winston Solomon Lipson Prize in recognition of her dedication to science and teaching excellence. After teaching and tutoring both science and maths students, Leander now brings this passion for helping young people reach their potential to her work at SME.