Calculating centripetal force when radius is unknown

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To calculate the centripetal force acting on a ball with a mass of 250 g and a centripetal acceleration of 5 m/s², the formula F = ma can be directly applied. Since centripetal acceleration (a) is already provided, the force can be calculated using F = m * a, where mass must be converted to kilograms. The discussion highlights confusion regarding the need for radius in the traditional centripetal force formula, given that the acceleration is known. Participants agree that rewriting the equation to include velocity and radius is unnecessary in this scenario. Ultimately, the focus remains on using the available acceleration to find the centripetal force directly.
BogMonkey
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Heres the question
"A ball with a mass of 250 g has a centripetal acceleration of 5 m/s2. What is the centripetal force acting on this ball? "

Since radius depends on the string length I have no idea how to derive it from these 2 variables. The only formula I know for getting centripetal force is F = m * V^2 / r
 
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If the acceleration is already given why do you want to calculate it?
 
bp_psy said:
If the acceleration is already given why do you want to calculate it?

Precisely. Elaborating, one rewrites the equation (F=ma) in that form (F=mv^2/r) because usually one knows velocity and radius. In this case, you know neither, so why rewrite it at all? :)
 
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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