Homework Help: physics

Posted by lanre on Thursday, July 19, 2012 at 9:30pm.

A wave on a string has a wave function given by y(x, t) = (0.0210 m)sin[(6.91 m^−1)x + (2.38 s^−1)t

.
(a) What is the amplitude of the wave?

(b) What is the period of the wave?

(c) What is the wavelength of the wave?

(d) What is the speed of the wave?

physics - Elena, Friday, July 20, 2012 at 2:44am
The equation of the wave is
y(x,t)= A•sin(2πx/λ - 2πt/T).
Given equation is
y(x, t) = (0.0210 m)sin[(6.91 m^−1)x + (2.38 s^−1)t

Therefore,
A = 0.0210 m

2π/λ =6.91
λ=2π/6.91=0.909 m

2πt/T= 2.38
T=2πt/ 2.38=2.64 s

λ=vT
v= λ/T=(2π/6.91)/( 2πt/ 2.38)=
=2.38/6.91=0.344 m/s

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