im working on a class that will help to understand radial movement:
i need help in next :
some thing equelant in English to //to do some thing without thinking.
making the documentation more understandable.
varphi (?) : special latin sign that is the angle (in Radians ) that is changed by time :
when R is Radius
r=R* cos(varphi(t) hat i + R* sin(varphi(t)) hat j
r is the place vector.
as in normal movement your equation is :
X(t) = x_0 + v_0 * t + (a /2 )t^2
X_0 = is the offset at the start point from the 0 point //could some one please say some thing more understanable.
V_0 = the speed at startup.
a = acceleration.
varphi(t) = varphi_0 + omega_0 * t alpha / 2 * t^2
alpha = omega(t)' = vephai(t)''
omega(t) = omega_0 + alpha * t
alpha = acceleration
Radian = read wikipedia.
Angle to radian = pi * angle / 180
Pi = the ratio between the circumference and radius.
omega_0 = the speed of the angle changing in rad / sec.
omega(t) = the speed at on a specific time
N = the amount of circles it did (point came back to it start point when moving on circular path).
N = varphi (t) / 2 pi
for now the class looks like that :
set(float varphi,float varphi_0,float omega,float omega_0,float alpha,int N);
default values :
varphi_0 = 0;
omega_0 = 0;
radial_movement(float varphi,float varphi_0,float omega,float omega_0,float alpha,int N);
is called after set
Will calculate (if not set) varphi ,omega , alpha , N
varphi can be calculated if (time != 0) && (scenario) ;
(N != 0) , N = varphi(t) / 2 pi.
(omega(t) != 0) ,varphi_0 + omega(t) * t + alpha / 2 * t^2
omega(t) is calculated using :
varphi or alpha or N:
N = 2 pi / omega (t) , N = varphi / 2 pi