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TheLil'Turkey
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Homework Statement
A particle moves with constant velocity along the curve r = e^(θ) and z = r (cylindrical coordinates). The speed, v, is constant.
a) Calculate the velocity and acceleration of the particle in terms of θ and v.
b) Show that the velocity and acceleration are perpendicular.
c) Find the expression for θ(t).
Homework Equations
v[/B] = dr/dt (radial direction) + r dθ/dt (tangential direction)
v^2 = (dr/dt)^2 + r^2 (dθ/dt)^2 = constant
dr/dt = dr/dθ dθ/dt