My first problem is change 85 radians per second to revolutions per minute I know you have to use dimensional analysis.
So would It be
85 rad I am not sure how to set up the rest
-------=
1 sec
My second problem is this find the linear velocity in millimeters per second for each hand which is 30 millimeters long
I know the formula is v=r(angular velocity)
I know r= 30 but I am unsure how to find angular velocity
Can anyone help me with these two problems?
Hello, homeylova223!
I'll baby-step through the procedure . . .
My first problem is change 85 radians per second to revolutions per minute.
You started correctly.
Our game plan: replace "rad" with "rev", and replace "sec" with "min".
We want to change radians to revolutions.
We know that: .
Form a fraction with the two equivalent quantities.
. .
Choose the fraction that will cancel the "rads", and multiply.
. .
We want to change "sec" to "min".
We know that: .
Form a fraction with the two equivalent quantities.
. . There are two possible fractions: .
Choose the fraction that will cancel the "secs", and multiply.
. .
Therefore: .