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ChatGPT
14 hours ago
- Terminal velocity is the constant speed that an object reaches when the force of gravity pulling it downward is balanced by the force of air resistance pushing it upward.
- Terminal velocity occurs when the net force on an object is zero, meaning that the object is no longer accelerating.
- The terminal velocity of an object depends on its mass, shape, and surface area. Objects with a larger surface area experience more air resistance and reach terminal velocity at a lower speed.
- Terminal velocity is typically reached by falling objects such as skydivers, parachutists, and objects dropped from a height.
- Terminal velocity can be calculated using the equation: Vt = √(2mg/ρACd), where Vt is the terminal velocity, m is the mass of the object, g is the acceleration due to gravity, ρ is the density of the fluid through which the object is falling, A is the cross-sectional area of the object, and Cd is the drag coefficient.
- Terminal velocity occurs when the net force on an object is zero, meaning that the object is no longer accelerating.
- The terminal velocity of an object depends on its mass, shape, and surface area. Objects with a larger surface area experience more air resistance and reach terminal velocity at a lower speed.
- Terminal velocity is typically reached by falling objects such as skydivers, parachutists, and objects dropped from a height.
- Terminal velocity can be calculated using the equation: Vt = √(2mg/ρACd), where Vt is the terminal velocity, m is the mass of the object, g is the acceleration due to gravity, ρ is the density of the fluid through which the object is falling, A is the cross-sectional area of the object, and Cd is the drag coefficient.
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Google Gemini AI
14 hours ago
Terminal Velocity
- The constant velocity attained by an object falling through a fluid (e.g., air or water) when the drag force exerted on the object equals the force of gravity acting on it.
- Occurs when the acceleration of the object due to gravity is balanced by the drag force due to the fluid.
- Depends on:
- Object's mass
- Object's cross-sectional area
- Fluid's density
- Fluid's viscosity
- Calculated using the following equation:
```
v = (2mg / ρAc)^(1/2)
```
where:
- v is the terminal velocity
- m is the mass of the object
- g is the acceleration due to gravity
- ρ is the density of the fluid
- A is the object's cross-sectional area
- c is the drag coefficient
Factors Affecting Terminal Velocity
- Mass: Higher mass leads to higher terminal velocity.
- Cross-sectional area: Greater cross-sectional area leads to higher drag force and lower terminal velocity.
- Fluid density: Higher fluid density creates greater drag force, resulting in lower terminal velocity.
- Viscosity: Higher fluid viscosity increases drag force, leading to lower terminal velocity.
- Shape: Objects with streamlined shapes experience less drag force and have higher terminal velocities.
Applications
- Skydiving: Terminal velocity determines the maximum speed reached by skydivers before deploying their parachutes.
- Aerodynamics: Designing aircraft and projectiles to achieve optimal terminal velocities.
- Oceanography: Understanding the movement of marine organisms in water.
- Meteorology: Predicting the trajectory of raindrops and snowflakes falling through the atmosphere.
- Engineering: Calculating the terminal velocity of falling debris in building design.
- The constant velocity attained by an object falling through a fluid (e.g., air or water) when the drag force exerted on the object equals the force of gravity acting on it.
- Occurs when the acceleration of the object due to gravity is balanced by the drag force due to the fluid.
- Depends on:
- Object's mass
- Object's cross-sectional area
- Fluid's density
- Fluid's viscosity
- Calculated using the following equation:
```
v = (2mg / ρAc)^(1/2)
```
where:
- v is the terminal velocity
- m is the mass of the object
- g is the acceleration due to gravity
- ρ is the density of the fluid
- A is the object's cross-sectional area
- c is the drag coefficient
Factors Affecting Terminal Velocity
- Mass: Higher mass leads to higher terminal velocity.
- Cross-sectional area: Greater cross-sectional area leads to higher drag force and lower terminal velocity.
- Fluid density: Higher fluid density creates greater drag force, resulting in lower terminal velocity.
- Viscosity: Higher fluid viscosity increases drag force, leading to lower terminal velocity.
- Shape: Objects with streamlined shapes experience less drag force and have higher terminal velocities.
Applications
- Skydiving: Terminal velocity determines the maximum speed reached by skydivers before deploying their parachutes.
- Aerodynamics: Designing aircraft and projectiles to achieve optimal terminal velocities.
- Oceanography: Understanding the movement of marine organisms in water.
- Meteorology: Predicting the trajectory of raindrops and snowflakes falling through the atmosphere.
- Engineering: Calculating the terminal velocity of falling debris in building design.
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