It's not stated in the question. But not in the solution either! Something has to keep G in a circular trajectory and that requires an acceleration ##\ \omega^2 r.\ \ \ ## That ##\,\omega## is given in the problem statement!werson tan said:
Normal acceleration is the component of acceleration that is perpendicular to the object's path, while tangential acceleration is the component that is parallel to the object's path.
Normal and tangential acceleration are both components of the total acceleration of an object, which can be found using vector addition. They are related through trigonometric functions, where the total acceleration is the hypotenuse of a right triangle formed by the normal and tangential components.
Normal acceleration is caused by changes in the direction of an object's velocity, while tangential acceleration is caused by changes in the magnitude of an object's velocity. These changes can be due to forces acting on the object, such as gravity or friction.
Normal acceleration can be calculated using the formula an = v2/r, where v is the velocity of the object and r is the radius of its circular path. Tangential acceleration can be calculated using the formula at = dv/dt, where dv is the change in velocity and dt is the change in time.
Normal acceleration always acts towards the center of the circle, while tangential acceleration acts in the direction of the object's motion. This means that normal acceleration is always perpendicular to the object's path, while tangential acceleration is always parallel to the object's path.
