- #1
Noir
- 27
- 0
Homework Statement
Find the the theoretical velocities and accelerations at various points around a circle.
Catch; the only information we have is the radius length of 5.2m
Homework Equations
Ok, so i got pretty far with this;
At the top of the circle. T = 0
T = mv(sq) / r - mg
mg = mv(sq)/r
m cancel
v = [tex]\sqrt{rg}[/tex]
Vmax.
Well, change in GPE = change in KE
mgh = .5m (v) sq
m cancel
v = [tex]\sqrt{2gh}[/tex]
where h = 2r
Vmid
change in GPE = change in KE
mgh = .5m (v) sq
m cancel
v = [tex]\sqrt{2gh}[/tex]
Assuming
g = 9.81
T = 0 at top
a centripetal = v(sq) / r
The Attempt at a Solution
Vmin = [tex]\sqrt{rg}[/tex]
=7.14 m/s
Vmax = [tex]\sqrt{2gh}[/tex]
= 14.28 m/s
Vmid = [tex]\sqrt{2gh}[/tex]
where h = r
=10.1 m/s
a min = v(sq) / r
= 9.8 m/s
a max = v(sq) / r
= 39.22 m/s
a mid = v(sq) / r
= 19.6 m/s
So is all of this working right?
I assumed that v at the top is 0 with all of the working and equations. If it wasn't 0, but was continuing after a revoltion. Would i just add vmin to each of the velocities?
Thanks for any help.