To solve this problem we will apply the concepts related to the balance of Forces, the centripetal Force and Newton's second law.
I will also attach a free body diagram that allows a better understanding of the problem.
For there to be a balance between weight and normal strength, these two must be equivalent to the centripetal Force, therefore


Here,
m = Net mass
= Angular velocity
r = Radius
W = Weight
N = Normal Force

The net mass is equivalent to

Then,

Replacing we have then,

Solving to find the angular velocity we have,

Therefore the angular velocity is 0.309rad/s
Answer:
Here's the Density Formula: D = M/V
Q: How does mass affect density?
A: <em>Mass is a factor in density, the density is proportional to the mass. So as the mass increases, so does the density, provided the volume remains constant.</em>
Q: How does volume affect density?
A:<em> If an object has a larger mass than its volume it has a high density, if an object has a smaller mass than its volume it has a lower density.</em>
Explanation:
<em><u>I really Hope this Helps!!</u></em>
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