More with Centripetal Acceleration

AI Thread Summary
The discussion revolves around calculating the centripetal acceleration of a kitchen gadget that spins lettuce leaves. The radius of the container is 10 cm, and it rotates at 1.9 revolutions per second. The user initially struggles with converting revolutions per second into the correct period for calculations. The correct approach involves using the formula for velocity and centripetal acceleration, leading to a calculated acceleration of approximately 1.1 m/s². Clarification on the relationship between frequency and period is provided to assist with the calculations.
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 \nu=1.9 s^{-1} the period (T) will be 1/1.9 because of \nu=1/T
 
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