Question 503: Waves

Question

Two waves are represented by the equations 
y1 = $$a$$sin($$\omega $$t + kx + 0.57) m and 
y2 = acos($$\omega $$t + kx) m, where x is in meter and t $$in$$ sec. The phase difference between them is

Accepted Answer

Here, y
1
= a sin ($$\omega $$t + kx + 0.57)
and  y
2
= a cos ($$\omega $$t + kx)
$$ = a\sin \left[ {{\pi  \over 2} + \left( {\omega t + kx} \right)} \right]$$
Phase difference,  $$\Delta \phi  = {\phi _2} - {\phi _1}$$
$$ = {\pi  \over 2} - 0.57$$
$$ = {{3.14} \over 2} - 0.57$$
= 1.57 Ã¢ÂÂ 0.57 = 1 radian

Answer

1.0 radian

Answer

1.25 radian

Answer

1.57 radian

Answer

0.57 radian

Waves

Two waves are represented by the equations y1 = $asin(\omega t + kx + 0.57) m and y2 = acos(\omega t + kx) m, where x is in meter and t in$ sec. The phase difference between them is

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