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January 18th, 2017, 12:04 PM   #1
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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
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January 18th, 2017, 01:27 PM   #2
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Quote:
Originally Posted by aaronmooy47 View Post
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?
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January 18th, 2017, 03:11 PM   #3
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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
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January 18th, 2017, 03:56 PM   #4
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$v = r\omega$

$\omega$ = 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
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January 18th, 2017, 04:30 PM   #5
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ok so how do i work out the linear and angular velocities from this?
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January 18th, 2017, 05:00 PM   #6
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Quote:
Originally Posted by aaronmooy47 View Post
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?
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February 2nd, 2017, 08:15 PM   #7
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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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