Equations for rotational motion with constant acceleration

  • Thread starter DH214
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A rotating water pump works by taking water in at one side of a rotating wheel, and expelling it from the other side. If a pump with a radius of 0.120 m starts from rest and accelerates at 35.0 rad/s2, how fast will the water be traveling when it leaves the pump after it has been accelerating for 9.00 seconds?
 

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  • #2
djeitnstine
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[tex]\alpha[/tex] is measured in radians per second sqared [tex](rad s^{-2} )[/tex] my guess is that you are either trying to find the angular velocity or the linear velocity.

angular acceleration = [tex]\alpha = \frac{\Delta \omega}{t}[/tex]
angular velocity = [tex]\omega = \frac{\Delta \theta}{t}[/tex]

the relationship between linear velocity/acceleration and angular velocity/acceleration is

linear velocity v

radius r

[tex]v= r \omega[/tex] m/s

[tex]a= r \alpha[/tex] m/[tex]s^{2}[/tex]
 

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