Understanding Torque and Acceleration in Uniform Circular Motion

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Applying torque to a body in uniform circular motion affects its angular acceleration, which will change due to the applied torque. While the radial acceleration remains constant in uniform circular motion, the introduction of torque alters the dynamics, leading to variations in angular velocity. The concept of uniform circular motion implies constant speed, but torque can introduce angular acceleration, resulting in a non-uniform motion. Specific details about the system and the nature of the torque would clarify the effects further. Understanding these relationships is crucial for analyzing motion in constrained circular paths.
Amith2006
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Sir,
When a torque is applied to a body undergoing uniform circular motion, will the radial acceleration be constant? What about the angular acceleration? Will it change?
 
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"Uniform circular motion" is generally understood to mean the motion of an object in a circle at constant speed so you may really be asking for the result of applying a torque to an object "constrained" to move in a circle. It would be helpful if you provided some specifics.
 
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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