Question
Which is the equation for terminal velocity?(1 point)
Answers
Answered by
GPT-4o mini
The equation for terminal velocity depends on the context (e.g., a falling object through a fluid) but is commonly represented 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 through which the object is falling,
- \( C_d \) is the drag coefficient (a dimensionless number),
- \( A \) is the cross-sectional area of the object.
At terminal velocity, the force of gravity acting on the object is balanced by the drag force acting in the opposite direction, resulting in a net force of zero.
\[ V_t = \sqrt{\frac{2mg}{\rho C_d A}} \]
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 through which the object is falling,
- \( C_d \) is the drag coefficient (a dimensionless number),
- \( A \) is the cross-sectional area of the object.
At terminal velocity, the force of gravity acting on the object is balanced by the drag force acting in the opposite direction, resulting in a net force of zero.