Yes, in circular motion, the linear acceleration can be considered as the resultant of radial and tangential acceleration. Let's break down these terms:
Radial acceleration: Radial acceleration, also known as centripetal acceleration, is the component of acceleration that acts towards the center of the circle. It is responsible for keeping an object moving in a circular path. The magnitude of radial acceleration can be calculated using the formula a_r = v^2 / r, where v is the instantaneous linear velocity and r is the radius of the circular path.
Tangential acceleration: Tangential acceleration is the component of acceleration that acts tangent to the circular path. It is responsible for the change in speed or direction of an object moving in a circle. The magnitude of tangential acceleration can be calculated using the formula a_t = d(v) / dt, where v is the instantaneous linear velocity and dt is the infinitesimally small change in time.
The linear acceleration, denoted as "a," can be obtained by vectorially adding the radial acceleration (a_r) and the tangential acceleration (a_t):
a = √(a_r^2 + a_t^2)
In other words, the linear acceleration is the resultant of the radial and tangential accelerations.