Question

Captain Jack Sparrow is steering the Black Pearl during battle, and he needs to turn the ship around quickly. The helm (steering wheel) of the Pearl has handles that extend to a radius of 50 cm. Sparrow starts spinning the helm from rest, accelerating it at a constant 5 degrees/s2 . What is the tangential velocity of the handles in m/s when the radial acceleration of the helm is equal to the tangential acceleration of its handles?

Answer: 0.15 m/s

Answer 1

Ans: Pearl has handles that extend to a radius of 50 cm.

       initial velocity=0

      Sparrow starts spinning the helm from rest, accelerating it at a constant 5 degrees/s2 .

convert into radians 5 x    =0.08726 rad /s =

a_tan = rα

=angular acceleration

a_tan = tangential acceleration

r = radius of the object's rotation

and given radial acceleration is equal to tangential acceleration

   radial acceleration is given by,

             a_r =a_tan

               _{r =}

              V=

                = 0.5 x    =0.14769 m/s 0.15 m/s