anonymous
  • anonymous
Two wheels of moment of inertia 4 rotate side by side @ of 120rev/min and 240rev/min resp. in d opp directions.If now both d wheels are coupled by means of weightless shaft so that both d wheels now rotate with the common angular speed,find d new speed of rotation..
MIT 8.01 Physics I Classical Mechanics, Fall 1999
  • Stacey Warren - Expert brainly.com
Hey! We 've verified this expert answer for you, click below to unlock the details :)
SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
katieb
  • katieb
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
anonymous
  • anonymous
assuming angular momentum is conserved, then we first calculate the total angular momentum from the initial conditions (L - angular momentum, I - moment of inertia, w - angular velocity: L=Iw). after attachment both discs rotate with the same angular velocity; this because the rod attaching them forces them to rotate in unison. because they have the same moment of inertia (I) and the same angular velocity (w), they will also have equal angular momentum. this means they split the total in half! one final note: angular velocity is a measurement of rotations per second. thus, we convert the given values: w1=120/60=2 and w2=240/60=4. \[L = Iw\]\[L = 4(2) + 4(4) = 24\] each disc rotates with angular momentum of 12 after the attachment. rearranging: \[w=L/I=12/4=3\] whatcha think?

Looking for something else?

Not the answer you are looking for? Search for more explanations.