Fluid Resistance

Key point

  • When a body moves through a fluid it experiences fluid resistance force

Fluid resistance force is the force a body experiences when traveling through a fluid. 

  • Directed opposite to the velocity
  • Air resistance is a type of fluid resistance
  • Reality vs. Theory (in general air resistance is neglected in IB Questions. If not, then it’s stated explicitly that it’s not)

Not in Formula Booklet but important

Fluid Resistance Formulas

Fluid resistance equations

  • k is a constant – depending on the fluid resistivity
  • There is no limit for which the high-speed formula is used over the low-speed formula. It depends fully on the question and common sense
  • As higher the velocity – as higher the resistive force

Suppose we drop a ball from some height. 

  • The ball’s speed increases due to the gravitational acceleration (weight)
  • As the speed increases, the fluid resistance increases too (in this case air resistance)
  • Fluid resistance increases until it equals the weight of the ball

Terminal speed formula

Terminal speed formula

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