On a playground, there is a merry‑go‑round. in order to get it moving, bonnie applies a force of 31 n31 n . the merry‑go‑round measures 8.5 m8.5 m from the axis of rotation to the edge where bonnie applies her force. assuming she applies her force perpendicularly to a line drawn from the axis of rotation, what is the magnitude of the torque τ bonnie imparts to the merry‑go‑round?

Review multiple-concept example 7 in this chapter as an aid in solving this problem. in a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. in one instance, the radius of the circle is 0.626 m. at one point on this circle, the ball has an angular acceleration of 66.1 rad/s2 and an angular speed of 12.6 rad/s. (a) find the magnitude of the total acceleration (centripetal plus tangential) of the ball. (b) determine the angle of the total acceleration relative to the radial direction.