The displacement y of a particle in a medium can be expressed as y=10−6sin(100t+20x+π4)m, where t is in second and x is in metre. The speed of the wave is
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Given,
y= 10^(-6)sin(100t+20x+π/4)
Comparing the following equation with equation of wave
y= a×sin(wt + kx + ø)
where a= amplitude
w= angular acceleration
we get,
w= 100 rad/sec
k= 20 per metre.
if the speed of wave is v,
v= w/k
v= 100/20
v= 5m/sec²
..
y= 10^(-6)sin(100t+20x+π/4)
Comparing the following equation with equation of wave
y= a×sin(wt + kx + ø)
where a= amplitude
w= angular acceleration
we get,
w= 100 rad/sec
k= 20 per metre.
if the speed of wave is v,
v= w/k
v= 100/20
v= 5m/sec²
..
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