Read the Question Below please!

Question

This figure (|a| = 16.5 m/s^2) represents the total acceleration of a particle moving clockwise in a circle of radius r = 4.40 m at a certain instant of time.

(a) For that instant, find the radial acceleration of the particle.

:  _____________m/s² (toward the center)

(b) For that instant, find the speed of the particle.

: _____________ m/s

(c) For that instant, find its tangential acceleration.

:  _____________m/s² (in the direction of the motion)

Answer 1

(a) radial acceleration a_n = IaIcos30° = 16.5cos30° = 14.29 m/s² (tovard to center);

(b) v²/r = Ia_n; v = √rIa_nI = √(14.29m/s²·4.40)m = 7.93 m/s;

(c) a_t = IaIcos60° = 16.5·0.5 = 8.25 m/s² in direction of motion