Derivative of polar coordinate

[amelemühendis]

could anyone help me to find out dQ/dt and d^2Q/dt^2 please.

r = 5+ 2cos (Q)

I need to find "angular velocity" and "angular acceleration"
respect of time

 

[Deleted member 4993]

could anyone help me to find out dQ/dt and d^2Q/dt^2 please.

r = 5+ 2cos (Q)

I need to find "angular velocity" and "angular acceleration"
respect of time

Do you know how to differentiate

f(x) = cos(x)

 

[amelemühendis]

Thank you very much Subhotosh Khan for your interest.
ofcourse i know it is f'(x) = -sin(x) but i couldn't solve my problem with this.

in fact my real problem is how to establish equation which is equal to Q = ........

 

[Deleted member 4993]

Thank you very much Subhotosh Khan for your interest.
ofcourse i know it is f'(x) = -sin(x) but i couldn't solve my problem with this.

in fact my real problem is how to establish equation which is equal to Q = ........

\(\displaystyle r \ \ = \ \ 5 \ \ + \ \ 2cos(\theta)\)

\(\displaystyle \theta \ \ = \ \ cos^{-1}\left ( \frac{r-5}{2}\right )\)

However, if you are trying to find " expression for d?/dt", it will be lot easier (and neater) if you perform implicit differentiation.