One revolution also corresponds to an angular displacement of 2π rad.
So, the angular velocity is
120 rev/min = (120 rev/min) * (2π rad/rev) = 240π rad/min
Answer:
Step-by-step explanation:
Zero property because you are using zeros to multiply
Answer:
34 degrees and 131 degrees
Step-by-step explanation:
Complementary angles always add up to 90 degrees
90 - 56 = 34 degrees (1)
180 - 49 = 131 degrees (2)
1. By the chain rule,

I'm going to switch up the notation to save space, so for example,
is shorthand for
.

We have




Similarly,

where



To capture all the partial derivatives of
, compute its gradient:


2. The problem is asking for
and
. But
is already a function of
, so the chain rule isn't needed here. I suspect it's supposed to say "find
and
" instead.
If that's the case, then


as the hint suggests. We have



Putting everything together, we get

