Torque por Peso

Storyboard

>Model

ID:(484, 0)



tree_torque001

Description

![tree_torque001](showImage.php)
tree_torque001

ID:(7135, 0)



tree_torque005

Description

![tree_torque005](showImage.php)
tree_torque005

ID:(7139, 0)



tree_torque002

Description

![tree_torque002](showImage.php)
tree_torque002

ID:(7136, 0)



tree_torque003

Description

![tree_torque003](showImage.php)
tree_torque003

ID:(7137, 0)



tree_torque004

Description

![tree_torque004](showImage.php)
tree_torque004

ID:(7138, 0)



tree_torque006

Description

![tree_torque006](showImage.php)
tree_torque006

ID:(7140, 0)



tree_torque007

Description

![tree_torque007](showImage.php)
tree_torque007

ID:(7141, 0)



Torque por Peso

Description

Variables

Symbol
Text
Variable
Value
Units
Calculate
MKS Value
MKS Units
$F$
F
Approximation for small Angles
N
$c_{CM}$
c_CM
Center of Mass Factor
-
$\epsilon$
e
Deformation
-
$\rho_e$
rho_e
Effective Density of Tree
kg/m^3
$c_a$
c_a
Factor Relation
$z_{CM}$
z_CM
Mass General Center Tree
m
$E$
E
Modulus of Elasticity
Pa
$r$
r
Relation between Radio and Height
m
$T$
T
Torque and Relations of the Model
N m
$T$
T
Torque by Deformation
N m
$T_g$
T_g
Torque due to Weight
rad
$F$
F
Torque generating Force
N
$T$
T
Torque of the Weight of Tree
N m
$M$
M
Total Tree Mass
kg
$h$
h
Tree Height
m
$r$
r
Tree Radio
m
$F$
F
Trunk Elastic Force
N
$L$
L
Trunk Height
m
$S$
S
Trunk Section
m^2

Calculations


First, select the equation:   to ,  then, select the variable:   to 

Symbol
Equation
Solved
Translated

Calculations

Symbol
Equation
Solved
Translated

 Variable   Given   Calculate   Target :   Equation   To be used



Equations


Examples

![tree_torque001](showImage.php)
tree_torque001

(ID 7135)

F=Mg\sin\delta\theta

(ID 4560)

T=z_{CM}Mg\delta\theta

(ID 4562)

T=\displaystyle\frac{1}{4}c_{CM}\rho r^2h^2g\delta\theta

(ID 4563)

![tree_torque005](showImage.php)
tree_torque005

(ID 7139)

![tree_torque002](showImage.php)
tree_torque002

(ID 7136)

![tree_torque003](showImage.php)
tree_torque003

(ID 7137)

F=\displaystyle\frac{ES}{L}\delta z

(ID 4564)

![tree_torque004](showImage.php)
tree_torque004

(ID 7138)

T=\displaystyle\frac{E\pi r^4}{c_{CM}h}\delta\theta

(ID 4565)

\displaystyle\frac{r^2}{h^3}=\displaystyle\frac{c_{CM}^2\rho g}{4\pi E}

(ID 4566)

r=c_ah^{3/2}

(ID 4568)

c_a=\displaystyle\frac{c_{CM}^2\rho g}{4\pi E}

(ID 4567)

![tree_torque006](showImage.php)
tree_torque006

(ID 7140)

![tree_torque007](showImage.php)
tree_torque007

(ID 7141)


ID:(484, 0)