- #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.