In Fig. Q9.4, how are the radial accelerations of points at the teeth of the two sprockets related? Explain.

Solution 5DQ The expression for radial acceleration is a = r, where is the angular speed of a rad body and ris the distance of a point from the axis of rotation. 2 Angular acceleration for the front sprocket is a front= front r front…..(1) Angular acceleration for the rear sprocket is a = 2r …..(2) rear rear rear Dividing equation (1) by equation (2), a 2r fron= front front a rear rearrrear 2 front front a front= a rear 2r …..(3) rear rear This is the required relation between the radial accelerations of points at the teeth of the two sprockets.