Rotational kinematic equations help

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To determine the distance traveled by a point on the edge of a wheel accelerating from 245 rpm to 395 rpm in 7.5 seconds, the relevant rotational kinematic equations must be applied. The wheel's diameter of 60.0 cm gives a radius of 0.3 m, which is essential for calculating linear distance. The average angular velocity can be found by taking the mean of the initial and final angular velocities, and then the angular displacement can be calculated using the formula for angular displacement under uniform acceleration. By converting angular displacement to linear distance using the radius, the final distance can be computed. The correct application of these equations will yield the distance traveled during the acceleration period.
bosox3790
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A wheel 60.0 cm in diameter accelerates uniformly from 245 rpm to 395 rpm in 7.5 s. How far will a point on the edge of the wheel have traveled in this time?

I keep getting 125.66, I don't really understand what forumal to use.
 
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Show what you did to arrive at your answer.
 
Check out this thread from the last couple of days where the rotational kinematic equations were used by another student. Model your work after that poster's work. Show all the relevant equations, and then show your algebra and how you get to the answer.

https://www.physicsforums.com/showthread.php?t=148047
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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