Question

Common household electric current is called alternating current because the current alternates direction within the wires. The voltage V in a typical​ 115-volt outlet can be expressed by the function V(t)=163 sin wt Upper V left parenthesis t right parenthesis equals 163 sine omega t
​,





where omega=w






is the angular speed​ (in radians per​ second) of the rotating generator at the electrical plant and t is the time measured in seconds. It is essential for electric generators to rotate at precisely 60 cycles per sec.






How many times does the current oscillate in 0.30






​sec?__times

Answer 1

Answer:

n = 18 cycles

Step-by-step explanation:

To know how many times does the current oscillates in the given time, you take into account that the number of oscillation can be calculated by using the following expression:

$n=ft$         (1)

f: frequency of the oscillation of the current

t: time = 0.30s

The frequency is the number of cycles per second, that is, f = 60 cycles/s

You replace the values of f and t in the equation (1):

$n=(60\frac{cycles}{s})(0.30s)=18\ cycles$

In 0.30s the current oscillates 18 times