Isn't period the reciprocal of frequency?
y=position- Asin(2PI*f*t)
y'=velocity=A*2pif cos..
y"=accleration=A (2piIf)^2 sin...
A body moving at simple harmonic motion has an amplitude 50cm and a frequency of 50HZ ,find
(a) the period of oscillation
(b) the acceleration of the maximum displacement
2 answers
T = 1/f = 1/50 seconds
x = 0.50 sin w t where w = 2 pi f
v = 0.50 w cos w t
a = -0.50 w^2 sin wt = -w^2 x
maximum of sin is 1.00
so
a max = -0.50 (4 pi^2* 50^2)
x = 0.50 sin w t where w = 2 pi f
v = 0.50 w cos w t
a = -0.50 w^2 sin wt = -w^2 x
maximum of sin is 1.00
so
a max = -0.50 (4 pi^2* 50^2)
2 answers