Question 509: Waves

Question

The wave described by y = 0.25 sin(10$$\pi $$x $$-$$ 2$$\pi $$t), where x and y are in metres and t in seconds, is a wave travelling along the

Accepted Answer

y = 0.25sin(10$$\pi $$x Ã¢ÂÂ 2$$\pi $$t)
$${y_{\max }} = 0.25$$
$$k = {{2\pi } \over \lambda } = 10\pi  \Rightarrow \lambda  = 0.2\,m$$
$$\omega  = 2\pi f = 2\pi  \Rightarrow f = 1\,Hz$$
The sign is negative inside the bracket. Therefore this wave travels in the positive x-direction.

Answer

+ve x direction with frequency 1 Hz and wavelength $$\lambda $$ = 0.2 m.

Answer

$$-$$ve x direction with amplitude 0.25 m and wavelength $$\lambda $$ = 0.2 m.

Answer

$$-$$ve x direction with frequency 1 Hz.

Answer

+ve x direction with frequency $$\pi $$ Hz and wavelength $$\lambda $$ = 0.2 m.

Waves

The wave described by y = 0.25 sin(10$\pi x - 2\pi $t), where x and y are in metres and t in seconds, is a wave travelling along the

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