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# FISICA_UNIT_03_Movement of Solids within Fluids

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@PatientMossAgate4665

### In the context of Newton's second law, what does the equation $F=ma$ represent?

The relationship between force, mass, and acceleration

### What type of movement is characterized by the equation $v = v_0 + at$?

Uniformly accelerated movement

### What is the correct equation for non-uniform and time-dependent movement?

$v = v(t)$

### Which equation represents the relationship between angular acceleration ($\alpha$), initial angular velocity ($\omega_0$), time ($t$), and angular displacement ($\theta$)?

<p>$\theta = \theta_0 + \omega_0 t + \frac{1}{2}\alpha t^2$</p> Signup and view all the answers

### What is the Reynolds number (ℜ) used to determine?

<p>The movement regime of a solid body inside a fluid</p> Signup and view all the answers

### How is the Reynolds number for a spherical particle calculated?

<p>Using the particle's radius and the fluid's density, viscosity, and speed</p> Signup and view all the answers

### At low speeds (ℜ < 1), what is the drag force due to?

<p>The viscosity of the fluid and is proportional to the particle's speed</p> Signup and view all the answers

### At high speeds (ℜ > 1), what is the drag force due to?

<p>The acceleration of the fluid around the particle</p> Signup and view all the answers

### In which condition does the viscosity of the fluid not appear in the drag force equation?

<p>At high speeds (ℜ &gt; 1)</p> Signup and view all the answers

### In the context of Newton's second law, which equation represents the relationship between angular acceleration ($\alpha$), initial angular velocity ($\omega_0$), time ($t$), and angular displacement ($\theta$)?

<p>$\theta = \omega_0 t + \frac{1}{2}\alpha t^2$</p> Signup and view all the answers

### What is the correct equation for non-uniform and time-dependent movement?

<p>$F = m \frac{dv}{dt}$</p> Signup and view all the answers

### At low speeds (ℜ < 1), what kind of movement tends to occur?

<p>Uniform and characterized by a constant and uniform speed called the limit speed</p> Signup and view all the answers

### At high speeds (ℜ > 1), what is the drag force due to?

<p>Turbulent flow effects dominating over viscous forces</p> Signup and view all the answers

### What does the Reynolds number (ℜ) determine for a solid body inside a fluid?

<p>The movement regime</p> Signup and view all the answers

### What is the drag force proportional to at low speeds (ℜ < 1)?

<p>The particle's speed</p> Signup and view all the answers

### At high speeds (ℜ > 1), what is the drag force due to?

<p>The acceleration of the fluid around the particle</p> Signup and view all the answers

### What does a Stokes viscometer measure?

<p>Viscosity of a fluid</p> Signup and view all the answers

### $F=ma$ represents which law in physics?

<p>Newton's second law</p> Signup and view all the answers

### What type of movement does $v = v_0 + at$ represent?

<p>Non-uniform and time-dependent movement</p> Signup and view all the answers

### In which condition does the viscosity of the fluid not appear in the drag force equation?

<p>At high speeds (ℜ &gt; 1)</p> Signup and view all the answers

### What does centrifugation measure molecular masses by?

<p>Measuring sedimentation rate of particles in a centrifugal field</p> Signup and view all the answers

### What is acceleration experienced by particles in a centrifugal field proportional to?

<p>Angular rotation speed of the centrifuge</p> Signup and view all the answers

### How can sedimentation rate of small particles be increased significantly in centrifugation?

<p>By increasing centrifugal force</p> Signup and view all the answers

### In the context of Newton's second law, what type of movement tends to occur when the force ($F$) approaches 0?

<p>Uniform movement</p> Signup and view all the answers

### Which equation represents the relationship between angular displacement ($\theta$), initial angular velocity ($\omega_0$), time ($t$), and angular acceleration ($\alpha$)?

<p>$\theta = \omega_0 t + \frac{1}{2}\alpha t^2$</p> Signup and view all the answers

### What does the Reynolds number (ℜ) determine for a solid body inside a fluid?

<p>Type of flow regime</p> Signup and view all the answers

### What is the correct equation for non-uniform and time-dependent movement?

<p>$v = v_0 + \frac{dv}{dt}$</p> Signup and view all the answers

### What does the Reynolds number (ℜ) determine for a solid body inside a fluid?

<p>The movement regime of the solid body</p> Signup and view all the answers

### What is the drag force proportional to at low speeds (ℜ < 1)?

<p>The particle's speed</p> Signup and view all the answers

### In which condition does the viscosity of the fluid not appear in the drag force equation?

<p>At high speeds (ℜ &gt; 1)</p> Signup and view all the answers

### What is the correct equation for non-uniform and time-dependent movement?

<p>$v = \frac{ds}{dt}$</p> Signup and view all the answers

### What type of movement does $v = v_0 + at$ represent?

<p>$1$-dimensional motion</p> Signup and view all the answers

### How can sedimentation rate of small particles be increased significantly in centrifugation?

<p>By increasing angular rotation speed of centrifuge</p> Signup and view all the answers

## Study Notes

• The Reynolds number (ℜ) is a dimensionless parameter used to determine the movement regime of a solid body inside a fluid.

• For a spherical particle, the Reynolds number is calculated using the particle's radius and the fluid's density, viscosity, and speed.

• Drag forces act on a particle moving inside a fluid and are parallel to the direction of the particle's velocity and opposite to it.

• At low speeds (ℜ < 1), the drag force is due to the viscosity of the fluid and is proportional to the particle's speed.

• At high speeds (ℜ > 1), the drag force is due to the acceleration of the fluid around the particle.

• The viscosity of the fluid does not appear in the drag force equation for high speeds.

• When a body is subjected to the action of a variable force that tends to 0, the movement of the body tends to reach a uniform speed called the limit speed.

• The Reynolds number affects the limit speed of a sphere moving in a fluid.

• A Stokes viscometer is used to measure the viscosity of a fluid by observing the terminal velocity of a sphere falling under gravity in the fluid.

• For a given fluid, the sedimentation speed of spherical particles is proportional to their radius.

• Centrifugation is used to measure molecular masses by measuring the sedimentation rate of particles in a centrifugal field.

• The acceleration experienced by particles in a centrifugal field is proportional to the angular rotation speed of the centrifuge.

• In centrifugation, the sedimentation rate of small particles can be increased significantly by the centrifugal force.

• The Reynolds number (ℜ) is a dimensionless parameter used to determine the movement regime of a solid body inside a fluid.

• For a spherical particle, the Reynolds number is calculated using the particle's radius and the fluid's density, viscosity, and speed.

• Drag forces act on a particle moving inside a fluid and are parallel to the direction of the particle's velocity and opposite to it.

• At low speeds (ℜ < 1), the drag force is due to the viscosity of the fluid and is proportional to the particle's speed.

• At high speeds (ℜ > 1), the drag force is due to the acceleration of the fluid around the particle.

• The viscosity of the fluid does not appear in the drag force equation for high speeds.

• When a body is subjected to the action of a variable force that tends to 0, the movement of the body tends to reach a uniform speed called the limit speed.

• The Reynolds number affects the limit speed of a sphere moving in a fluid.

• A Stokes viscometer is used to measure the viscosity of a fluid by observing the terminal velocity of a sphere falling under gravity in the fluid.

• For a given fluid, the sedimentation speed of spherical particles is proportional to their radius.

• Centrifugation is used to measure molecular masses by measuring the sedimentation rate of particles in a centrifugal field.

• The acceleration experienced by particles in a centrifugal field is proportional to the angular rotation speed of the centrifuge.

• In centrifugation, the sedimentation rate of small particles can be increased significantly by the centrifugal force.

• The Reynolds number (ℜ) is a dimensionless parameter used to determine the movement regime of a solid body inside a fluid.

• For a spherical particle, the Reynolds number is calculated using the particle's radius and the fluid's density, viscosity, and speed.

• Drag forces act on a particle moving inside a fluid and are parallel to the direction of the particle's velocity and opposite to it.

• At low speeds (ℜ < 1), the drag force is due to the viscosity of the fluid and is proportional to the particle's speed.

• At high speeds (ℜ > 1), the drag force is due to the acceleration of the fluid around the particle.

• The viscosity of the fluid does not appear in the drag force equation for high speeds.

• When a body is subjected to the action of a variable force that tends to 0, the movement of the body tends to reach a uniform speed called the limit speed.

• The Reynolds number affects the limit speed of a sphere moving in a fluid.

• A Stokes viscometer is used to measure the viscosity of a fluid by observing the terminal velocity of a sphere falling under gravity in the fluid.

• For a given fluid, the sedimentation speed of spherical particles is proportional to their radius.

• Centrifugation is used to measure molecular masses by measuring the sedimentation rate of particles in a centrifugal field.

• The acceleration experienced by particles in a centrifugal field is proportional to the angular rotation speed of the centrifuge.

• In centrifugation, the sedimentation rate of small particles can be increased significantly by the centrifugal force.

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## Description

Test your knowledge on the movement of solids within fluids, including low and high speed regimes, drag forces, Stokes' law, and applications such as viscosity measurements and sedimentation.

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