One way to convert rotational motion into linear motion and vice versa is via the use of a...

One way to convert rotational motion into linear motion and vice versa is via the use of a mechanism called a Scotch yoke, which consists of a crank C that is connected to a slider B via a pin A. The pin rotates with the crank while sliding within the yoke, which, in turn, rigidly translates with the slider. This mechanism has been used, for example, to control the opening and closing valves in pipelines. Letting the radius of the crank be R = 1.5 ft, determine the angular velocity ωC of the crank so that the maximum speed of the slider is υB = 90 ft/s.

Figure P6.44