Bowling ball with air resistance problem

AI Thread Summary
To determine the mass of a 22-cm-diameter bowling ball with a terminal speed of 85 m/s, one must consider the relationship between terminal velocity, drag force, and the object's size and density. The drag force acting on the ball is proportional to the square of its speed and is influenced by its shape, which can be approximated as a sphere. The diameter is crucial as it affects the drag coefficient and the overall drag force experienced by the ball. Understanding these relationships can help in calculating the mass using the equation F = M(9.8) in conjunction with drag principles. This problem highlights the importance of air resistance in determining the dynamics of falling objects.
stangeroo
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A 22-cm-diameter bowling ball has a terminal speed of 85m/s. What is its mass.

I get F=M(9.8). But then i don't know where to go from there or what to do with the 22 cm diameter :confused:
 
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What relationships do you know between terminal speed and the size and density of an object, and/or properties of air?
 
OlderDan said:
What relationships do you know between terminal speed and the size and density of an object, and/or properties of air?
nothing, that is the only info givin.
 
I believe Dan was asking about what you know (or should know) about air drag and what affects it. :smile:

Here's a hint to get you started: For high speed objects traveling through air, the drag force is proportional to the speed squared and depends on the shape of the object (treat the ball as a sphere). Look up quadratic drag.

Edit: The drag also depends on the size of the object; that's where the diameter comes in.
 
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