A 220-kg speedboat is negotiating a circular turn (radius = 32 m) around a buoy.During the turn, the engine causes a net tangential force of magnitude 550 N to be applied to the boat. The initial tangential speed of the boat is going into the turn is 5.0m/s.

(a) Find the tangential acceleration. After the boat is 2.0 s into the turn.
(b) find the centripetal acceleration
(c) The total acceleration (magnitude and direction with respect to the radius)

Question

A 220-kg speedboat is negotiating a circular turn (radius = 32 m) around a buoy.During the turn, the engine causes a net tangential force of magnitude 550 N to be applied to the boat. The initial tangential speed of the boat is going into the turn is 5.0m/s.

(a) Find the tangential acceleration. After the boat is 2.0 s into the turn.
(b) find the centripetal acceleration 
(c) The total acceleration (magnitude and direction with respect to the radius)

experimentx · Answer

a) $ F = Ma $ so, tangential acceleration $a_t$= $ F/M$
b) Centripetal acceleration $ a_c $ = $ v^2/r$
c) Total acceleration magnitude = $ \sqrt{a_c^2 +a_t^2}$, direction = $ \tan^{-1}(a_t/a_c)$