January 18th, 2017, 12:04 PM  #1 
Newbie Joined: Jan 2017 From: brussels Posts: 28 Thanks: 0  Angular velocity
Can anybody help me with this please, i do not understand how to find the angular or linear velocity from this problem: A pulley has a diameter of 180mm and is turning at 300 rpm; 140mm of a belt drive is in contact with a pulley 
January 18th, 2017, 01:27 PM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 2,982 Thanks: 1575  Problem seems incomplete ... is there a diagram? Is the 140mm belt wrapped around another pulley? If so, what is its diameter?

January 18th, 2017, 03:11 PM  #3 
Newbie Joined: Jan 2017 From: brussels Posts: 28 Thanks: 0 
no that is all that is given, the first part of the question asks to work out the lap angle which i have calculated at 89.127 degrees r = 180/2 = 90 theta = s/r = 140/90 = 1.5 rad or 89.127 degrees as for the linear and angular velocity i am unsure 
January 18th, 2017, 03:56 PM  #4 
Math Team Joined: Jul 2011 From: Texas Posts: 2,982 Thanks: 1575 
$v = r\omega$ $\omega$ = 300 rpm ... you need to convert this angular speed to radians per unit time note that 1 rpm = $2\pi$ radians/min = $\dfrac{\pi}{30}$ radians/sec 
January 18th, 2017, 04:30 PM  #5 
Newbie Joined: Jan 2017 From: brussels Posts: 28 Thanks: 0 
ok so how do i work out the linear and angular velocities from this?

January 18th, 2017, 05:00 PM  #6  
Math Team Joined: Jul 2011 From: Texas Posts: 2,982 Thanks: 1575  Quote:
Kapish?  
February 2nd, 2017, 08:15 PM  #7 
Member Joined: Oct 2016 From: labenon Posts: 33 Thanks: 4 
Formulas for Angular velocity : As @skeeter guide you, after getting values you can work on linear velocity by using v = omega R Last edited by AshBox; February 2nd, 2017 at 08:17 PM. 

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