In the given equation for the sound wave:
y = 0.007 sin (850πt) cm
The amplitude of the wave can be determined from the coefficient in front of the sine function, which is 0.007. Therefore, the amplitude (A) of the sound wave is 0.007 cm.
To find the frequency (f) of the wave, we can examine the argument of the sine function, which is 850πt. By comparing it to the general equation of a sine function:
y = A sin (2πft)
We can see that the angular frequency (ω) is 850π. The relationship between angular frequency and frequency is given by:
ω = 2πf
Solving for f, we have:
f = ω / (2π) = (850π) / (2π) = 425 Hz
Therefore, the frequency of the sound wave is 425 Hz.