Ok...
v = d/dt (sin (wt + θ))
v = cos (wt + θ) * d/dt (wt + θ) via chain rule.
v = (w * d/dt (t) * d/dt (θ)) * cos (wt + θ)
v = (1w + 0) * cos (wt + θ)
v = w cos (wt + θ) ?
Sorry if my math is rusty; so cosw is different than w cos? Is cosw assumed to be cos (w)?
Wooooow it's all coming back. That rush of knowledge. Ok thanks.
I think it got it?
= cos (wt + θ) * d (wt+θ)/dt
= cos (wt + θ) * w
= cosw (wt + θ)
v = cos(w)^2 (t) + cos(w)θ
I'm really rusty on my calculus so this could be ugly but here goes...
dv = d (sin(wt + θ)) / dt
dv * dt = d (sinwt + sinθ)
dv * dt = d*sin*wt + d sinθ
dv = (d*sin*wt + dsinθ) / dt
dv = sinw + dsinθ
do i have to integrate or use a trig identity here?
would the first answer therefore be, v = (sin (wt +θ)) / ΔT?
edit:
i mean, v = (sin (wt +θ)) / dt?
because we're talking the instan velocity therefore derivative and the slope of the tangent
Homework Statement
For each expression of displacement (x) below, write down the mathematical functions for velocity (v), acceleration (a), and pressure (Pa). Assume a maximum amplitude (A) of displacement = 1. Units are not required. Hint: Think about the phase relationships of pendular...
Homework Statement
A thin charged rod of length L lies along the x-axis as shown in the diagram below.
The charge on the rod is distributed with a density of λ= c x (C /m) where c is a constant.
What is the potential at a point (0,y)? (Your answer should be in terms k, c, L, and y).
See...