- #1
leehufford
- 98
- 1
Homework Statement
(1)I was hoping someone could help me understand this, this is for a Calc based Physics I class. I will post this problem, but its really the whole concept I'm not understanding. If someone can help me understand this concept, they need not solve the actual problem for me.
Given
θ(t) = a + bt - c(t^3)
a,b,c are constants
When t = 0, θ=pi/4 and ω = 2.00 rad/s
When t = 1.5s, α = 1.25 rad/s^2
Find a,b,c including their units.
Homework Equations
?? Angular speed is the 1st time derivative of θ?
?? Angular acceleration is the 2nd time derivative of θ?
The Attempt at a Solution
a and b are just the initial θ and ω. The t^3 is throwing me off. How does this all relate? Again, I don't want this problem done for me, I really want to get what's going on between equations (in this case rotation of rigid bodies) and mathematical polynomials.
One more thing... If you can answer the above you can probably answer this:
(2) Why does the angular velocity/acceleration vectors point into 3 dimensional space (z axis)?!?
Thank you so much for reading this!
-Lee