More with Centripetal Acceleration

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SUMMARY

The discussion focuses on calculating the centripetal acceleration of a kitchen gadget that spins lettuce leaves, with a radius of 10 cm and a rotation speed of 1.9 revolutions per second. The user correctly identifies the radius as 0.1 m and calculates the linear velocity as 0.330 m/s using the formula v = 2πr/T. The centripetal acceleration is then computed as 1.1 m/s² using the formula Ac = v²/r. The user seeks clarification on the conversion of revolutions per second to the period of rotation.

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rockmorg
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Hey again all - I think I have another problem where my math skills just aren't cutting it --

Kitchen gadget that dries lettuce leaves by spinning them, the radius of the container is 10 cm and it is rotating at 1.9 revolutions per second. Magnitude of centripetal acceleration at the wall?

r = 10 cm (.1 m)
rps = 1.9
Ac = ?

1.9 rev/1 sec = 1.9 sec?

So I use v = 2Pir/T

v = 2Pi(.1 m)/1.9 s
v = .330 m/s

Ac = v2/r = (.330 m/s)2/.1 m = .1089/.1 = 1.1 m/s2

I have a feeling the problem is the revolutions per second, like I'm not converting that into the correct amount for one revolution...

Any thoughts?

Thanks!
 
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Hi rockmorg,
rev/s is a frequency so if [tex]\nu=1.9 s^{-1}[/tex] the period (T) will be [tex]1/1.9[/tex] because of [tex]\nu=1/T[/tex]
 

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