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 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
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Quote:
 Originally Posted by aaronmooy47 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
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
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Quote:
 Originally Posted by aaronmooy47 ok so how do i work out the linear and angular velocities from this?
You were given an angular velocity of 300 rpm ... you need to convert it to radians per unit time, then use the formula $v=r\omega$ where $v$ is the linear velocity in mm per unit time, $r$ is the radius in mm, and $\omega$ is the angular velocity in radians per unit time.

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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