1. The problem statement, all variables and given/known data
I want to find the equation of the kinetic energy of a pendulum at any point. I know the initial angle it is released from but I am having trouble finding the velocity at any point to be able to find the kinetic energy at any point.
2. Relevant equations
θ = θmaxcos(w*t) where w = √g/L
I = mL2
KErotational=(1/2) *I([itex]\frac{dθ}{dt}[/itex])2
3. The attempt at a solution
I differentiated the θ function with respect to time to get dθ/dt
[itex]\frac{dθ}{dt}[/itex]=-θmax*w*sin(w*t)
I have plugged that in to find the kinetic energy but thats apparently not the right answer.
I want to find the equation of the kinetic energy of a pendulum at any point. I know the initial angle it is released from but I am having trouble finding the velocity at any point to be able to find the kinetic energy at any point.
2. Relevant equations
θ = θmaxcos(w*t) where w = √g/L
I = mL2
KErotational=(1/2) *I([itex]\frac{dθ}{dt}[/itex])2
3. The attempt at a solution
I differentiated the θ function with respect to time to get dθ/dt
[itex]\frac{dθ}{dt}[/itex]=-θmax*w*sin(w*t)
I have plugged that in to find the kinetic energy but thats apparently not the right answer.
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