A point object moves along an arc of a circle of radius R . Its velocity depends upon the distance covered s as v=K s , where K is a constant. If is the angle between the total acceleration and tangential acceleration, then

Step-by-step solution

aligned & = a_ radial a_ tangential & = V^2 R a_ tangential & Givn V=K s & = 1 a_ tangential [ 1 R K^2 s ] & = 1 a_ tangential [ K^2 s R ] aligned aligned & Now, a_ tangential = d v d t = d d t =[K s ] & or a_ tangential =K 1 2 s d s d t & or a_ tangential = K 2 s V & = K 2 s K s = K^2 2 & = K^2 s R K^2 2 = 2 s R aligned