- #1
adrian783
- 6
- 0
what happens to the maximum velocity if you double both Amplitude and period of a SHM?
the equation is
x(t) = A cos (wt + f)
v(t) = -A w sin (wt + f)
f is phase constant, w = angular velocity
i know if i double A and T, the first part of the v(t) equation will be like:
-2A * 2pi/2T = -A * w, not changed, but what about that part in the sine ?
the question ask if it is halved, quadrupled, unchanged, or doubled
the equation is
x(t) = A cos (wt + f)
v(t) = -A w sin (wt + f)
f is phase constant, w = angular velocity
i know if i double A and T, the first part of the v(t) equation will be like:
-2A * 2pi/2T = -A * w, not changed, but what about that part in the sine ?
the question ask if it is halved, quadrupled, unchanged, or doubled