Calculating Rotational Speed for Wheel C: 240.7 rev/min

AI Thread Summary
To determine when wheel C reaches a rotational speed of 240.7 rev/min, the relationship between the angular speeds of wheels A and C must be established, considering their radii. Wheel A's angular acceleration is given as 7.1 rad/s², and its initial speed is zero. The calculations involve converting the target speed of wheel C into radians per second and applying the formula for angular speed. Participants in the discussion suggest reviewing the calculations for potential errors in the math or unit conversions. Accurate calculations are essential to find the correct time for wheel C to achieve the desired speed.
hatingphysics
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Wheel A of radius ra = 14.6 cm is coupled by belt B to wheel C of radius rc = 28.8 cm. Wheel A increases its angular speed from rest at time t = 0 s at a uniform rate of 7.1 rad/s2. At what time will wheel C reach a rotational speed of 240.7 rev/min, assuming the belt does not slip?

I did ...Vta = Vtc, but stil didint get it. i got the Vtc
value and divided that by raduis of A to get w for a. then
divided the acceleration by the w for a, but my time is
still wrong!
 

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Sounds like you are basically using the correct approach. Can you please post your calculations (including units) so we can see if it's just a math error?
 
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