Optics > Geometric Optics >  Reflection DCS#  6A20.42

ROTATING LIQUID PARABOLIC REFLECTOR

rotating water

APPARATUS
turntable 101-02-D4
11" tupperware tub 101-02-D4
water
gooseneck lamp or arrow light source 101-16-B
food coloring 101-02


DESCRIPTION
The surface of the water forms a paraboloid.  If the liquid were mercury, the surface would serve as a concave mirror.  Instead add some dark dye to the water to reduce internal reflections.
The shape of the surface is given by z = (ω 2/2g)r2.  This is a parabola with focal length f = g/2ω 2.

NO TES
Use glitter to make flow more visible.

Use glycerine instead of water for a more stable surface.  


Use an arrow light source to investigate the images formed.  


This demonstration can be set up in the display case.

REFERENCES
The Astrophysical Journal, 346:  L41-L44.

AJP 58(3),280