Question

The voltage of a servomotor is represented by a periodic function of time, V(). The function has amplitude of 12.32 and period of 8. At t = 0, V(t) = 12.32. Which of the following could be V(c)?

Option 1: V(c) = 6.16
Option 2: V(c) = 0
Option 3: V(c) = 18.32
Option 4: V(c) = 24.64

Answer 1

The voltage of a servomotor is a periodic function with an amplitude of 12.32 and a period of 8. The correct value for V(c) is 12.32.

Step-by-step explanation:

The voltage of a servomotor is represented by a periodic function of time, V(t). The function has an amplitude of 12.32 and a period of 8.

V(t) = 12.32 * cos(2πt/8)

To find which option could be V(c), we substitute the value of c into the function. Let's check the options:

1. V(0) = 12.32 * cos(2π * 0/8) = 12.32
2. V(0) = 12.32 * cos(2π * 0/8) = 12.32
3. V(0) = 12.32 * cos(2π * 0/8) = 12.32
4. V(0) = 12.32 * cos(2π * 0/8) = 12.32

Based on the calculations, the correct option is V(c) = 12.32.