Quiz — Proportion Compass: Application and Use

1. What is the main purpose of the proportion compass in cooperage? *

To check the thickness of the staves

To verify the height of the barrel

To transfer the reduction ratio between the butt and the head

To mark the length of the staves

2. The proportion compass is also called: *

Expansion compass

Reduction compass

Leak-tightness compass

Assembly gauge

3. According to which ratio is the gauge set? *

Height ÷ diameter

Butt end + head end

Diameter at the head end ÷ diameter at the butt end

Radius × circumference

4. What value is used for Pi (π) in calculations? *

2.718

3.1416

5. What does the radius of a circle represent? *

The distance around the circle

The diameter multiplied by Pi

Half the diameter

The circumference divided by 2

6. What mathematical principle is used in the construction of the proportional compass? *

Pythagorean Theorem

Thales’ Theorem

Descartes’ Theorem

Archimedes’ Theorem

7. What check is performed when verifying the compass? *

Check that the compass is as rigid as possible

Check that the ratio of the legs remains constant

Check that the compass points are interchangeable

Check that the compass is aligned with the grain of the wood

8. Why is the size of the compass reduced by dividing the radii? *

To lighten the workload

To make the compass easier to handle

To increase precision

To avoid using metal

9. What is the main purpose of the reduction coefficient? *

To speed up production

To reduce the barrel’s volume

To control the barrel’s shape and curvature

To adjust the drying of the staves

10. The perimeter (or circumference) of a circle is calculated using: *

P = R² × π

P = π × D

P = D ÷ π

P = 2 ÷ π