School books are printed on a four color web offset printing press a cylinder on a press has a 13.37 inch diameter. The linear speed of a point on the cylinder's surface is 16.53 feet per second. What is the angular speed of the cylinder in revolutions per hour? Printers often refer to the angular speed as impressions per hour or IPH.

Question

anonymous · Answer

School books are printed on a four color web offset printing press a cylinder on a press has a 13.37 inch diameter. The linear speed of a point on the cylinder's surface is 16.53 feet per second. What is the angular speed of the cylinder in revolutions per hour? Printers often refer to the angular speed as impressions per hour or IPH.

HELP!

perl · Answer

we can use the equation
linear speed = radius * angular speed,  where angular speed is in radians/ second

anonymous · Answer

yes ok

anonymous · Answer

C=13.37 pi we know that

perl · Answer

16.53 = (13.37 /2) * w

perl · Answer

w = 16.53 / ( 13.37 / 2 )  rad/second

perl · Answer

now we want to change that to revolution per hour

anonymous · Answer

yea but we're supposed to set up ratios in our work... so would it be 16.53 ft/ 1sec x   2/37 ?

anonymous · Answer

sorry.. kinda confused can u like draw it

perl · Answer

drawing doesnt work

perl · Answer

w = (2 * 16.53 ) / 13.37 * rad/sec * rev/ (2pi * rad) * 3600 sec/ 1hr

anonymous · Answer

why not? sorry im just trying to visualize this

perl · Answer

not working on my computer?

anonymous · Answer

... ugh mine neither

anonymous · Answer

ok so thats it?

anonymous · Answer

but they say its 16.53 ft/sec so why multiply by 2? and whats the units? is it just 33.06 ft / 13.37 inches?

perl · Answer

because 1/(1/2) = 2

perl · Answer

do you agree that  v = r* w , where v is linear velocity , r is radius, and w is angular velocity
and units of w are rad/sec

anonymous · Answer

yup

perl · Answer

ok