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Old Oct 3rd 2013, 04:45 AM   #1
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Linear Speed? Angular Speed? Centripetal Acceleration?

a toy car moves around a circular track that
has a diameter of 1.2m. It makes one
complete revolution in 12secs. calculate the
linear speed, angular speed and centripetal
acceleration.

can u pls tell me how to answer that?
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Old Oct 3rd 2013, 06:02 AM   #2
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Think it through this way:

You can calculate the distance around the track from geometry: Circumference = pi times diameter. If it makes one complete revolution in T=12 seconds then its linear velocity is distance traveled divided by time = pi x D/T.

The angular velocity is expressed in radians per second. One revolution = 2 pi radians, so the angular speed is 2 pi radians/12 seconds. The formula that you should remember is w = 2 pi/T, where w = angular velocity in radians/second and T = period of revolution.

The centripetal acceleration is calculated using a = w^2 R, where w = angular velocity in radians/second (which you just calculated) and R = radius. You should memorize this formula.
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