How the planimeter is used to measure the area?
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How the planimeter is used to measure the area?
A planimeter is a table-top instrument for measuring areas, usually the areas of irregular regions on a map or photograph. You trace a curve in the clockwise direction with the tracer, and as you do so the measuring wheel rolls along, and the total distance it rolls is accumulated on the dial.
How does a polar planimeter work?
The polar planimeter is a mechanical device for measuring areas of regions in the plane which are bounded by smooth boundaries. The measurement is based directly on Green’s theorem in multi-variable calculus: the planimeter integrates a line integral of a vector field which has constant curl.
What is zero setting Why is it necessary in a polar planimeter?
HAFF Planimeters are fitted with a large, crystal-clear tracing lens, and a setting wheel with which to zero the scales. The lens enlarges the view of the line being traced and so makes possible a very high degree of accuracy. The setting wheel is used to zero the scales without touching the internal mecha- nism.
What are the two types of planimeter?
- Linear planimeter.
- Polar planimeter.
What is the zero setting of the planimeter?
The setting wheel is used to zero the scales without touching the internal mecha- nism. The planimeter is a simple instrument for the precise measu- rement of areas of plane figures of any shape.
How many types of planimeter are there?
I have found basically three types of planimeters (neglecting other devices of cartographers, some extravagant planimeters and planimeters which were not widesperad): Prytz hatchet planimeter, linear rolling planimeter and. Amsler (polar) planimeter and compensating planimeter.
What is planimeter formula?
Most commonly used is Amsler polar Planimeter. (ii) The formula for calculating areas of the map by using planimeter. Area (A) = M × (FR – IR ± 10 N) + C. Where, M = Multiplying constant.
What is zero setting of a planimeter?
Which planimeter is more accurate?
The original polar planimeter was invented in 1854 by Jacob Amsler, a Swiss mathematician and inventor of many measuring instruments. It was so much simpler, easier to use, and more accurate than previously invented planimeters that the latter quickly became obsolete.