MHB Phasor to sinusoid conversion help

[bryanhpaul]

Convert the following phasor to sinusoid:

V = 169\angle-45degrees where f = 60Hz

The answer given is 169cos(377t - 45degrees) V

I am sure I am missing something, but how does the frequency go from 60 to 377?

 

[dstorm]

You just multiply by 2(pi). :)

 

[Ackbach]

A little bit more detail, to expand on dstorm's post:

$$\omega = 2\pi f,$$
where $\omega$ is the angular frequency (that shows up multiplying $t$ in the waveform), and $f$ is just the frequency. Typically, the units will be a tip-off: $f$ is usually measured in Hz, whereas $\omega$ is usually measured in rad/s.