In three dimensions, acceleration \(\vec{a}\)(t) can be written as a vector sum of the one-dimensional accelerations a x (t), a y (t), and a z (t) along the x-, y-, and z-axes. The position vector of ...In three dimensions, acceleration \(\vec{a}\)(t) can be written as a vector sum of the one-dimensional accelerations a x (t), a y (t), and a z (t) along the x-, y-, and z-axes. The position vector of the object is \(\vec{r}\)(t) = A cos \(\omega\)t \(\hat{i}\) + A sin \(\omega\)t \(\hat{j}\), where A is the magnitude |\(\vec{r}\)(t)|, which is also the radius of the circle, and \(\omega\) is the angular frequency.
In three dimensions, acceleration \(\vec{a}\)(t) can be written as a vector sum of the one-dimensional accelerations a x (t), a y (t), and a z (t) along the x-, y-, and z-axes. The position vector of ...In three dimensions, acceleration \(\vec{a}\)(t) can be written as a vector sum of the one-dimensional accelerations a x (t), a y (t), and a z (t) along the x-, y-, and z-axes. The position vector of the object is \(\vec{r}\)(t) = A cos \(\omega\)t \(\hat{i}\) + A sin \(\omega\)t \(\hat{j}\), where A is the magnitude |\(\vec{r}\)(t)|, which is also the radius of the circle, and \(\omega\) is the angular frequency.