In these formulas, it is useful to understand which variables are parameters that specify the nature of the wave. The variables
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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
The potential energy is defined as the energy is contained in the body due to the height over the surface of the earth and it is calculated from the equation
<em>where:</em>
- PE: the potential energy in Joules.
- m: the mass of the body in kg.
- g: the acceleration due to the gravity in m/
- h: the height of the body over the earth in meters.
<em>in our problem:</em>