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Materials

Measuring viscosity by the falling-ball method

  • 2 things to know
  • Papers 2 and 3

Overview

Recall questions on the falling-ball experiment, why the markers are placed below the surface, checking terminal velocity has been reached, and the main uncertainties.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Process

How can you check experimentally that the ball has actually reached terminal velocity?

Numbers

Why do fine dust particles take so long to settle in still air, and what are the main uncertainties in the falling-ball experiment?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How can the viscosity of a liquid be found by timing a ball bearing falling through it?

    Model answer

    Drop a small ball bearing into a tall tube of the liquid, time its fall between two markers well below the surface to find its terminal velocity, measure its radius with a micrometer and the densities of ball and liquid, then substitute into the terminal velocity expression to find η.

  2. 2

    Why must the upper marker be placed well below the surface of the liquid?

    Model answer

    To make sure the ball has already reached terminal velocity before the timing starts, since the equation used assumes constant velocity.

  3. 3

    How can you check experimentally that the ball has actually reached terminal velocity?

    Model answer

    Place three or more equally spaced markers and time the ball between successive pairs; equal times show the velocity is constant.

  4. 4

    Why should the tube of liquid be wide compared with the ball, and what error results if it is not?

    Model answer

    The walls of a narrow tube disturb the flow and increase the drag, so the measured terminal velocity is too small and the calculated viscosity comes out too large.

  5. 5

    How would you obtain an accurate value for the radius and density of the ball bearings?

    Model answer

    Measure the diameter of each ball with a micrometer in several orientations and take a mean, and find the density by weighing a large number of identical balls together and dividing by their total volume.

  6. 6

    What are the main sources of uncertainty in the falling-ball experiment, and how can they be reduced?

    Model answer

    The radius, which is squared in the calculation, and the timing, which is affected by reaction time; use a large fall distance and repeat readings, and take a mean radius from several measurements.

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