Acceleration and Average Acceleration

Again we follow the definitions made for 1-dimension. In 3-dimensions, the average acceleration is defined as

and acceleration (instantaneous acceleration) is defined as

Constant Acceleration Equations  In 1-dimension, our basic definitions were

We found that if the acceleration is constant, then from these equations we can prove that

which are known as the 5 constant acceleration equations. In 3-dimensions we had

or

or

These 3 equations are the meaning of the first vector equation .

Similarly

or

Similarly

or

and

or

So we see that in 3-dimensions the equations are the same as in 1-dimension except that we have 3 sets of them; one for each dimension. Thus if the 3-dimensional acceleration vector  is now constant, then a_x, a_y and a_z must all be constant. Thus we will have 3 sets of constant acceleration equations, namely

and

and

These 3 sets of constant acceleration equations are easy to remember. They are the same as the old ones in 1-dimension except now they have subscripts for x, y, z.

مواضيع ذات صلة

أنظمة لأكثر من جسيم واحد

كمية التحرك الزاوية والقوة المركزية

الحركة الدورانية

امثلة عن الاتزان الاستاتيكي للأجسام الممتدة

الاتزان الاستاتيكي للأجسام الممتدة

تعريف العزم

تذبذبات صغيرة لبندول

اعتبارات الطاقة في الحركة التوافقية البسيطة

الحل الهندسي للمعادلة التفاضلية للحركة التوافقية البسيطة، دائرة المرجع

الحل باستخدام حساب التفاضل والتكامل

قانون هوك والمعادلة التفاضلية للحركة التوافقية البسيطة

القدرة ووحدات الشغل