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keicee
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If an object of mass M falls under the influence of gravity and a drag force Fdrag, we may write Newton’s Second Law as
Ma = Mg - Fdrag
Where a is the acceleration of the object and Mg is the weight of the object. The drag force has the general form:
Fdrag = bv^n
Where the drag coefficient b is a constant that depends on the shape of the object, and v is the velocity of the object. As an object falls from rest the velocity increases until the drag force and the weight are equal in magnitude. The acceleration then becomes zero and we have the following relation:
Mg = b(Vt)^n
In this lab, the mass ( M) will be comprised of coffee filters. We can then express the total mass in terms of the number of filters (N) and the mass of one filter (m):
M=N(m)
Now we can express a relationship between the number of filters and the terminal velocity.
N(m)g = b (Vt)^n or
N α (Vt)^n
Our goal in this lab is to find n for the drag force.
I need help with my lab report. I need to linearize this equation and i don't know how to do it
Ma = Mg - Fdrag
Where a is the acceleration of the object and Mg is the weight of the object. The drag force has the general form:
Fdrag = bv^n
Where the drag coefficient b is a constant that depends on the shape of the object, and v is the velocity of the object. As an object falls from rest the velocity increases until the drag force and the weight are equal in magnitude. The acceleration then becomes zero and we have the following relation:
Mg = b(Vt)^n
In this lab, the mass ( M) will be comprised of coffee filters. We can then express the total mass in terms of the number of filters (N) and the mass of one filter (m):
M=N(m)
Now we can express a relationship between the number of filters and the terminal velocity.
N(m)g = b (Vt)^n or
N α (Vt)^n
Our goal in this lab is to find n for the drag force.
I need help with my lab report. I need to linearize this equation and i don't know how to do it