Chapter 28, Problem 9Q

Part (a)

To determine

While checking the pressure in a tyre, does some air escapes the tyre?

Answer to Problem 9Q

Solution:

Yes, since the measuring device needs some air to flow into it, so that it can determine tyre pressure, therefore some air always escapes the tyre while checking the air pressure in a tyre.

Explanation of Solution

Since the measuring device needs some air to flow into it, so that it can determine tyre pressure, therefore some air always escapes the tyre while checking the air pressure in a tyre.

The tyre pressure is measured using a Pitot Tube-like apparatus. The air in the tyre, under pressure, escapes into the measuring instrument, which then gives us a reading. However, this escape of pressure did lower the reading, which means that the tyre pressure would be different had it not been measured.

Part (b)

To determine

Is it possible to avoid this escape of tyre?

Answer to Problem 9Q

Solution:

It is impossible to avoid this air escape from the tyre.

Explanation of Solution

It is impossible to avoid this air escapes because air is under high pressure in the tyre, while the air inside the measuring instrument is at low pressure. Therefore, air will always flow from high pressure (inside tyre)to low pressure (inside the measuring instrument).

Part (c)

To determine

Does there exist any relation between the uncertainty principle and air escape from the tyre?

Answer to Problem 9Q

Solution:

Yes, there is relation between the uncertainty principle and this air escape from a tyre.

Explanation of Solution

This is a macroscopic demonstration of the Uncertainty Principle, where the measurements influence the result.