A transverse sinusoidal wave on a stretched wire is represented by
y(x,t)=0.010sin(100πt−4πx)m.
Attempt the following tasks:
(i) Determine the speed with which the wave disturbance moves along the wire.
(ii) At the position x=0.25m, calculate the earliest positive time after t=0 when the magnitude of the particle’s velocity equals 1.5m s−1.
(iii) For the same position and the time obtained in part (ii), compute the corresponding particle acceleration and state its direction relative to the equilibrium position.