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   Upper V left parenthesis t right parenthesis equals 163 sine omega t ​, where omega   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. Complete parts Bold left parenthesis a right parenthesis   and Bold left parenthesis b right parenthesis . Bold left parenthesis a right parenthesis   How many times does the current oscillate in 0.25   ​sec?

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