Question

A student attaches a rope to a wall to produce a sinusoidal wave given by the equation y=aSinbx+c. If the range of the ropes height moves between 1 and 5 feet above the ground and the frequency of the wave is 1 , write an equation for this wave motion.

Answer 1

1) A = amplitude of wave = 5-1
2) C = offset of the wave. Sine wave is centered about "0".
so, C = (5-1)/2
3) B = angular velocity = \(2\pi f\)

Answer 2

and I expect in the equation of "y", the "x" means the time