Challenge Problem: An earthquake hits Los Angeles! A wave ripples down the LA Freeway at a speed of 150 mph, with crests 60 m apart. Motorists caught by the quake are shaken up and down inside their cars violently. The road moves so quickly that, after pushing cars up to a peak height at a crest, the asphalt almost leaves the tires behind as they fall into a trough.
Write an equation for this wave of the form
y(x, t) = A * sin ( k*x - ω*t )
but provide the numerical values for all constants,
in standard SI units.
A piano wire is made of steel, with a diameter of 1.04 mm. The wire is stretched inside the piano to a tension of 400 N.