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Trigonometry what is the angular velocity of a cylinder in rev/hr

karush

Well-known member
Jan 31, 2012
2,771
An offset press cylinder has a $13.37\text {in}$ diameter.

The linear speed is $\displaystyle\frac{16.53 \text{ ft}}{\text{sec}}$

What is the angular velocity $(\omega)$ in $\displaystyle\frac{\text{rev}}{\text {hr}}$

from $v=r\omega$ then

$\displaystyle\frac{16.53\text{ ft}}{\text{sec}}
\cdot\frac{3600\text {sec}}{\text {hr}}
\cdot\frac{1}{6.685\text{ in}}
\cdot\frac{12\text { in}}{\text {ft}}
\approx\frac{106821\text{ rev}}{\text{hr}}$

this ans looks to large???
 

MarkFL

Administrator
Staff member
Feb 24, 2012
13,775
Re: what is the angular v of a cylinder in rev/hr

You answer is correct...it is spinning many times per second and there are many seconds per hour. :D
 

karush

Well-known member
Jan 31, 2012
2,771
Re: what is the angular v of a cylinder in rev/hr

well that cool...

I still don't know how to really deal with the words "rev" and "rad" in an equation?
 

topsquark

Well-known member
MHB Math Helper
Aug 30, 2012
1,140
Re: what is the angular v of a cylinder in rev/hr

well that cool...

I still don't know how to really deal with the words "rev" and "rad" in an equation?
A rev(olution) is once around the circle. This corresponds to an angle of 2pi radians. Thus 1 rev = 2pi rad.

-Dan