2)A wave is represented by the equation y =2sin.pi(0.5x - 200t) where all distance are measured in centimeters and time in seconds. For this wave, calculate the : (a) frequency (b) wave length (c) speed (d) amplitude
step plz
amplitude: 2
now for speed, one needs to look at when the sin function goes 2PI , or .5x=2, x=4cm
for period, the sine function goes 2PI when 200t=2 or t=.01sec
f= 1/period=100hz
I don't even no yet
I really need formula and answers please
Please l want you to give me the formula and answers please.
Student
Study
To calculate the frequency, wavelength, speed, and amplitude of a wave, we can use the given equation:
y = 2sin(π(0.5x - 200t))
(a) Frequency:
The general equation for wave motion is given by:
y = A sin(2πft)
In our case, comparing it with the given equation, we can equate:
2πf = π(0.5x - 200t)
Simplifying it further:
f = 0.5x - 200t
The expression 0.5x represents the distance covered by the wave, and 200t represents the time elapsed. Since the question does not provide any specific values for x and t, we cannot calculate the exact frequency.
(b) Wavelength:
The wavelength (λ) can be determined by the formula:
λ = v/f
Given that the equation is in the form of y = A sin(kx - ωt), where k = (2π/λ) and ω = 2πf, we can equate the values:
k = 0.5, ω = 200
Now we can find the wavelength:
k = (2π/λ) = 0.5
Rearranging the equation, we get:
λ = 2π/0.5 = 4π
Hence, the wavelength of the wave is 4π centimeters.
(c) Speed:
The speed of the wave (v) can be calculated by the equation:
v = λf
Substituting the values we have:
v = (4π)(f)
Since we do not have the specific frequency value, we cannot calculate the exact speed.
(d) Amplitude:
The amplitude (A) can be determined by looking at the given equation:
y = 2sin(π(0.5x - 200t))
From this equation, we can see that the amplitude is 2 centimeters.
In summary:
(a) Frequency cannot be calculated without specific values for x and t.
(b) Wavelength: 4π centimeters
(c) Speed cannot be calculated without the frequency.
(d) Amplitude: 2 centimeters.