Achild is riding a merry-go-round, which has an instantaneous angular speed of 1.25 rad/s and an angular acceleration of 0.745 rad/s2. the child is standing 4.65 m from the center of the merry-go-round. what angle does the acceleration of the child make with the tangential direction

w = instantaneous angular speed = 1.25 rad/s

r = radius = 4.65 m

α = angular acceleration = 0.745 rad/s²

centripetal acceleration is given as

= rw²

= (4.65 ) (1.25)² = 7.27 m/s²

tangential acceleration is given as

= rα

=4.65 x 0.745 = 3.46 m/s²

angle is given as

= 64.5 deg

think its the third option

this is poiselle's equation from fluid mechanic in physics. mech eng