physics
posted by sara on .
A particle is moving clockwise in a circle of radius 1.54 m. At a certain instant, the magnitude of its acceleration is a = 26.0 m/s2,and the acceleration vector has an angle of θ = 50° with the position vector, as shown in the figure. At this instant, find the speed, v of this particle.

a*sin50=v^2/r solve for v

not the right answer

It seems to me that a*cos50 is the centripetal component of the acceleration. The position vector is in the radial direction.
a*cos50 = v^2/r = 16.71 m/s^2
v^2 = 25.74 m^2/s^2
v = 5.07 m/s 
thanks