A sine wave has a maximum voltage of 100V. What is the voltage after 96 Deg. of rotation?
To determine the voltage after 96 degrees of rotation, we need to use the formula for a sine wave, which is given as:
V = Vmax * sin(angle)
Where:
V = voltage
Vmax = maximum voltage
In this case, Vmax is given as 100V. Thus, the formula becomes:
V = 100V * sin(angle)
Now, we substitute the angle of 96 degrees (converted to radians) into the formula:
V = 100V * sin(96°)
To calculate sine of 96°, we need to convert it to radians by multiplying it by π/180:
V = 100V * sin(96° * π/180)
Now, we can calculate the voltage by simply evaluating the expression:
V ≈ 100V * sin(96° * π/180)
V ≈ 100V * sin(1.68)
Using a calculator, we find that sin(1.68) is approximately 0.0288753783.
Therefore, the voltage after 96 degrees of rotation is approximately:
V ≈ 100V * 0.0288753783
V ≈ 2.88753783V
Hence, the voltage after 96 degrees of rotation is approximately 2.8875V.