Timmy twirls a dead rat (mass = 2 kg) attached to a rusty chain (length = 1m) in a vertical circle. With what

velocity should Timmy rotate the rodent so that the chain just goes slack (no force in the chain) at the top?

pls answer :(

6 answers

ignoring chain weight?

at the top, mg=mv^2/r
v=sqrt (rg)
3.16m/s
Timmy the angry teen twirls a dead rat (mass = 2 kg) attached to a rusty chain (length = 1m) in a vertical circle. With what
velocity should Timmy rotate the rodent so that the chain just goes slack (no force in the chain) at the top?
3.16m/s
Yeh
You find velocity from acceleration formula: a=v^2/r
Your acceleration is 9.81 m/s^2 but for this problem round it to 10 m/s^2.
Plug in acceleration and radius on your formula:
a=v^2/r ==> 10=v^2/1 (Multiply both sides by 1 to get rid of the fraction you end up with:) 10=v^2 (to get rid of the square you square root both, the 10 and v^2) The square root of 10 is 3.16 which is also your answer: 3.16 m/s^2