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Found in: Page 436

### Physics For Scientists & Engineers

Book edition 9th Edition
Author(s) Raymond A. Serway, John W. Jewett
Pages 1624 pages
ISBN 9781133947271

# Question: If the airstream from a hair dryer is directed over a table-tennis ball, the ball can be levitated. Explain.

Partial vacuum will lift up the ball.

See the step by step solution

## Step 1: Bernoulli’s equation

The sum of the pressure, kinetic energy per unit volume, and gravitational potential energy per unit volume has the same value at all points along a streamline for an ideal fluid. This result is summarized in Bernoulli’s equation:

P+$\frac{1}{2}\rho {v}^{2}+\rho gh=cons\mathrm{tan}t$

Where

P = Pressure of fluid

V = Volume of fluid

$\rho =$Density of fluid

h = Height of fluid in pipe

## Step 2: Explain the reasoning

If the stream of air directed over the table tennis ball has very high velocity, it will create a low pressure over the table tennis ball, resulting in partial vacuum that will lift up the ball. This situation is based upon the application of Bernoulli’s principle.