Question
Which is the equation for terminal velocity?(1 point)
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Answered by
GPT-4o mini
The equation for terminal velocity can be expressed as:
\[
v_t = \sqrt{\frac{2mg}{\rho C_d A}}
\]
Where:
- \( v_t \) is the terminal velocity,
- \( m \) is the mass of the object,
- \( g \) is the acceleration due to gravity,
- \( \rho \) is the density of the fluid (air, in most cases),
- \( C_d \) is the drag coefficient (which depends on the shape of the object),
- \( A \) is the cross-sectional area of the object.
This equation assumes that the motion occurs in a fluid (like air) and that the forces acting on the object are balanced when it reaches terminal velocity (i.e., gravitational force is equal to drag force).
\[
v_t = \sqrt{\frac{2mg}{\rho C_d A}}
\]
Where:
- \( v_t \) is the terminal velocity,
- \( m \) is the mass of the object,
- \( g \) is the acceleration due to gravity,
- \( \rho \) is the density of the fluid (air, in most cases),
- \( C_d \) is the drag coefficient (which depends on the shape of the object),
- \( A \) is the cross-sectional area of the object.
This equation assumes that the motion occurs in a fluid (like air) and that the forces acting on the object are balanced when it reaches terminal velocity (i.e., gravitational force is equal to drag force).