- #1
p37
- 4
- 1
- Homework Statement
- A thin rod has a length of 0.138 m and rotates in a circle on a frictionless tabletop. The axis is perpendicular to the length of the rod at one of its ends. The rod has an angular velocity of 0.221 rad/s and a moment of inertia of 1.08 x 10-3 kg·m2. A bug standing on the axis decides to crawl out to the other end of the rod. When the bug (whose mass is 5 x 10-3 kg) gets where it's going, what is the change in the angular velocity of the rod?
- Relevant Equations
- Lfinal = Linitial
L=Iw
I(i)w(i)= I(f)w(f)
I(i)= 1.08 x 10-3 kg·m2
w(i)= 0.221 rad/s
I(f)= mr^2 + I(i) = (5 x 10^-3)(.138)^2 + (1.08 x 10^-3)
(1.08 x 10-3)(.221) = ((1.08 x 10^-3)+9.22 x 10^-5))w(f)
w(f) = (2.3868 x 10^-4)/(0.00117522)
w(f)= 0.203094 rad/s
This is my attempt; however, I cannot seem to get it right. Any help on what I am doing wrong?
I(i)= 1.08 x 10-3 kg·m2
w(i)= 0.221 rad/s
I(f)= mr^2 + I(i) = (5 x 10^-3)(.138)^2 + (1.08 x 10^-3)
(1.08 x 10-3)(.221) = ((1.08 x 10^-3)+9.22 x 10^-5))w(f)
w(f) = (2.3868 x 10^-4)/(0.00117522)
w(f)= 0.203094 rad/s
This is my attempt; however, I cannot seem to get it right. Any help on what I am doing wrong?