943 Words4 Pages

Introduction

The cross product of two vectors can be defined as the binary operation that is done on the two vectors in the three dimensional space. This operation is defined by the symbol ×. If the two vectors, suppose a and b are perpendicular to each other than their product will be also a vector quantity. Also this true for the normal plane containing these vectors. Cross product has many applications in engineering, physics and mathematics.

If two vectors are in a same direction or one of these vectors has zero magnitude then their result of cross product will be zero. Generally the magnitude of the product of these two vectors is the area of parallelogram with the sides of vectors. In a simple way we can state that the magnitude of product two vectors is a product of their lengths.*…show more content…*

The actual experimental errors were close to the theoretical errors. The difference between the errors was not so high. Rather it was in acceptable region.

The value for percent difference was calculated using the following formula.

Percent Difference =Absolute Difference Average ×100%=|E2-E1|(E2+E1)/2 ×100%

Discussion

Following results were obtained from the experiment.

Mass kg Force N Radius mm Torque

1 1.8 .024 .432

0.135 1.3203 0.022 .029026

0.115 1.1247 0.012 .01349

Residual Average torque Percent results

0.000657 0.028581 2.2987

The physics behind this experiment is very simple. The purpose of this experiment was to observe the results from the experiment of vector cross product and torque. In the experiment, the experiment of cross product and torque was performed with the different masses and length of arms. Radius was changed according to the need of experiment and masses

The cross product of two vectors can be defined as the binary operation that is done on the two vectors in the three dimensional space. This operation is defined by the symbol ×. If the two vectors, suppose a and b are perpendicular to each other than their product will be also a vector quantity. Also this true for the normal plane containing these vectors. Cross product has many applications in engineering, physics and mathematics.

If two vectors are in a same direction or one of these vectors has zero magnitude then their result of cross product will be zero. Generally the magnitude of the product of these two vectors is the area of parallelogram with the sides of vectors. In a simple way we can state that the magnitude of product two vectors is a product of their lengths.

The actual experimental errors were close to the theoretical errors. The difference between the errors was not so high. Rather it was in acceptable region.

The value for percent difference was calculated using the following formula.

Percent Difference =Absolute Difference Average ×100%=|E2-E1|(E2+E1)/2 ×100%

Discussion

Following results were obtained from the experiment.

Mass kg Force N Radius mm Torque

1 1.8 .024 .432

0.135 1.3203 0.022 .029026

0.115 1.1247 0.012 .01349

Residual Average torque Percent results

0.000657 0.028581 2.2987

The physics behind this experiment is very simple. The purpose of this experiment was to observe the results from the experiment of vector cross product and torque. In the experiment, the experiment of cross product and torque was performed with the different masses and length of arms. Radius was changed according to the need of experiment and masses

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