TEST HELPsinusoidal- find max and min voltages

This is the question: The voltage from a wall socket can be described by the equation v(t)= 170sin120pit, where t is time, in seconds, and V is the voltage in volts at time t.

1. Find the maximum and minimum voltage levels and the times at which they occur.

Please help. I have a test tmrw. Thank you.

Re: TEST HELPsinusoidal- find max and min voltages

Quote:

Originally Posted by

**onehundredpercenteffort** This is the question: The voltage from a wall socket can be described by the equation v(t)= 170sin120pit, where t is time, in seconds, and V is the voltage in volts at time t.

Is it 170sin(120)pit or 170sin(120pit)? What are p and i? There is no capital V in the equation; there is a lowercase v (in math and physics, those are different things).

Re: TEST HELPsinusoidal- find max and min voltages

Quote:

Originally Posted by

**onehundredpercenteffort** This is the question: The voltage from a wall socket can be described by the equation v(t)= 170sin120pit, where t is time, in seconds, and V is the voltage in volts at time t.

1. Find the maximum and minimum voltage levels and the times at which they occur.

Ah, I guess the function is $\displaystyle v(t)=170\sin(120\pi t)$. The period of sin(x) is $\displaystyle 2\pi$, and multiplying the argument x by some constant *a* reduces the period *a* times, i.e., the period of sin(*a*x) is $\displaystyle 2\pi/a$. Now, as with regular sin(x), the maximum of sin(*a*x) is reached at 1/4 the period and the minimum at 3/4 the period. The maximum and minimum of sin(*a*x) are 1 and -1, respectively, so the maximum and minimum of *b* * sin(*a*x) where *b* > 0 are *b* and -*b*, respectively.