Question

1. A compost barrel can be considered as a solid cylinder of mass 50.0 kg and radius ofr= 30.0 cm, and a length of 0.900 m. It can be turned about the long axis axis of rotation marked by x on the picture) by applying a force to a handle located d=20.0 cm from the axis of the cylinder. The compost barrel needs to be turned through 250 complete revolutions. Assume you can apply a constant force of F = 10.0 N always perpendicular to the radius as the handle goes around in a circle). a. What is the angular acceleration of the barrel? b. How much time does it take to turn the barrel through 250 rev? c. What is the angular velocity of the barrel at the end of that time? Is this reasonable? end view: F เd

Answer 1

mass, 50.0 kg Radius, R = 30.o ani d ld x so, moment of inestia, I= ImR?. Applied force, F=100N. Distance from aris So, Tosque acting, Х 2 0.2m 2= Fxda 10.0x0.2 2 Nom as If, a be angulas accelesation then 7- I a. て 2 da 4 I - MR? 50.0x (0:3)? ON 0.89 nads?

b) Total devolution, o 250 ser. = 250 x 25 sad. 500 in sad, If , & be time taken then wott £at² (Wo=0 sabls, initial angulas speed) o t 2x500 T 089 d - on, fa 59. 45 sec. Angulas relocity of the barrel after this time- wot at, -ot 0.89 x 59.45. the it will 52.9 sad/s. is continuously acting aftes time t=59.45 sec. w=52-9 sad/s. It is a very large argulas speed w = 52.9x 3030 / sec. 8.42 revolutions, see. If the applied force cylindes then achiere 180°