Question

A transverse wave on a string is described by the following wave function. Y = 0.095 sin (1x + 5nt) where x and y are in meters and t is in seconds. (a) Determine the transverse speed at t = 0.300 s for an element of the string located at x = 1.30 m m/s (b) Determine the transverse acceleration at t = 0.300 s for an element of the string located at x + 1.30 m. m/s2 (c) What is the wavelength of this wave? m (d) What is the period of this wave? (e) What is the speed of propagation of this wave? m/s

Answer 1

here y= a) +5 t) 0.095 Amn ( Whene as a buncteon ot ,t) y= Pogntron et uwaue To caleulate velauiy/spead C, t ) Cx, t)dy di 5xt 0.095 (5r) uos 0.095 (5x) os x1.30 t5x X0.3 (1.30m, 0.300s) 12 = 0.095 (5) tas (5.05) 1.485 mys b aueloration ca) = ducxt) +t - (0.095) (5J2sin ( for ( .30Om, t = 0 300s) 2) -(0.095) (5x)2 in X1.30 +5x0.3 A= 2 Ho.095) (5)n Co.34 +4.1) --2.06 mys2 eneral Aepresentration ot cwaue y=yo n'n CKx twt) nalues geuen t usith the Carmpanrng =24 maue lengeh Time Peub l 27 O.45 T- 2 us- 5 ST 24 m D.4S 60 MIs Speet ot aoane CV) 1 1

Answer 2

The method used for part b keeps getting my answer marked wrong. i used the same numbers as you did in my calculator and it gives me your answer. however, when i use my numbers it gets marked wrong. the rest of the parts are correct on my end, just not part b. not sure where it's going wrong.