x=3.5Cos(8pi.t)
Amplitude=3.5m
What is the frequency?
after one period T,
(8 pi T) = 2 pi
so T = 1/4
so f = 1/T = 4
THANK YOU SO MUCH!
To determine the frequency of the equation x = 3.5Cos(8pi.t), we need to understand the general form of a cosine function.
A cosine function can be written as: y = A * cos(2πf * t + φ)
In this equation:
- A represents the amplitude of the function.
- f represents the frequency of the function.
- t represents the independent variable (usually time).
- φ represents the phase shift (which we don't have in this case).
Comparing this to the given equation, we can see that the amplitude is 3.5m. So, A = 3.5.
Comparing the general form to the given equation, we can also see that the coefficient of 't' inside the cosine function is 8π. The frequency, f, can be found by dividing this coefficient by 2π.
So, the frequency, f, is calculated as follows:
f = (8π) / (2π) = 4
Therefore, the frequency of the equation x = 3.5Cos(8πt) is 4.