I have the question "A washing machine runs its spin cycle at 800 rpm(revolutions per minute). What is the frequency and the angular velocity of the machines drum?"
I know that frequency is 1/T where T is the period. So I multiplied 800 by 60 to get 48000 seconds.
So for frequency I got 2.1 x 10^-5 hz and for angular velocity I got 1.3 x 10^-4 radians per second.
I am not sure if this is correct though.
On
Frequency is nothing else but the same which is given in the question. It is $800$ rpm, but remember whenever you give you give your answer keep it in standard units. So, the frequency will be $800/60= (40/3) Hz$.
Now, the angular velocity is given by $w=2\pi v$ where v is frequency. Just put the value of frequency in $w=2\pi v$ and get the angular velocity.
"A washing machine runs its spin cycle at $800rpm$"...$800rpm$ it is just a frequency but not in standard units, so we have: $800rpm={800\over min}=\frac{800}{60s}\approx13,3s^{-1}=13,3 Hz$. The period will be $T={1\over f}={1\over 13,3 Hz}=0,075 s$.
What about $\omega$?
$\omega={2\pi\over T}\approx 83,78 rad/s$