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Angular Acceleration differentation w.r.t to time

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mattzoe
mattzoe 2019-4-22
回答： SHABNUR MANSURI 2021-4-29
Hello everyone,
I want to derivate my simple function w.r.t time to get the acceleration and therefore I use the diff syntax.
I define my variable with q=omega*t but then omega the angular speed is constant.
If I derivate my equation twice with respect to time, I don´t have an angular_acceleration in my acceleration equation. The analytical equation of the acceleration should be f_dot_dot = cos(omega*t)*angular_acceleration - sin(omega*t)*omega^2.
What can I do to get an angular_acceleration?
t = 0:0.01:2*pi; % Time Interval
omega = 2; % Angular speed
q = omega*t; % Angular q
f = sin(q); % Function
f_dot = diff(f)./diff(t); % First derivative w.r.t
f_dot = [f_dot, NaN]; % Vector has the same length as at the beginning
f_dot_dot = diff(f_dot)./diff(t); % Second derivative w.r.t
Best regards
Matthias
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darova
darova 2019-4-26
If the velocity is a constant and acceleration is a change of velocity? How can you have acceleration?
mattzoe
mattzoe 2019-4-28
编辑：mattzoe 2019-4-28
@darvora that's right. But I don't know how to define my equation to solve it numerically with an included angular acceleration.
I could use the symbolic differentiation to get an angular acceleration (q_dot_dot), but I would prefer the upper one.
syms q(t)
f = sin(q);
f_dot_dot = diff(f,t,2);
f_dot_dot = cos(q)*q_dot_dot - sin(q)*q_dot^2.
Best regards

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回答（1 个）

SHABNUR MANSURI
SHABNUR MANSURI 2021-4-29
t = 0:0.01:2*pi; % Time Interval
omega = 2; % Angular speed
q = omega*t; % Angular q
f = sin(q); % Function
f_dot = diff(f)./diff(t); % First derivative w.r.t
f_dot = [f_dot, NaN]; % Vector has the same length as at the beginning
f_dot_dot = diff(f_dot)./diff(t); % Second derivative w.r.t

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