The solid steel cylinder shown in Figure P22–22 is used as a guide roller for a paper processing system. In normal operation, it rotates at an angular velocity of 800 rpm. A disc caliper brake is mounted on the left end of the roller to stop it when the system is shut down. When the brake is applied, the roller must stop in a time of 5.0 seconds or less. The magnitude of the torque applied to the roller is required to select the proper size for the disc caliper brake. Solve for the following:

Data in Figure P22–22

(a) Mass moment of inertia, I, of the cylinder. 

(b) The required deceleration rate for the cylinder. 

(c) The braking torque required to stop the cylinder in 5.0 seconds or less.

Transcribed Image Text:

Disc brake assembly (a) Pictorial view of the rotating cylindrical roller and the disc brake 04.00 8.00 -6.00- 08.00 80.00 - Ø16.00 (b) End view and side view of the system 8.00- 6.00 08.00 04.00