Buoyant Force Calculation: A Submerged Wood Cylinder

A wood cylinder has a diameter of 50.7 mm and a height of 86.9 mm. What is the radius and height of the cylinder in meters?

• Radius = 0.0507 m, Height = 0.0869 m

• Radius = 0.02535 m, Height = 0.0869 m

• Radius = 0.0507 m, Height = 0.00869 m

• Radius = 0.02535 m, Height = 0.00869 m

Using the converted dimensions (Radius = 0.02535 m, Height = 0.0869 m), what is the volume of the wood cylinder? (Use π ≈ 3.14159)

• 1.75 x 10⁻⁴ m³

• 3.49 x 10⁻⁴ m³

• 6.98 x 10⁻⁵ m³

• 8.77 x 10⁻⁵ m³

What is the approximate buoyant force acting on the wood cylinder when it is fully submerged in water?

• 0.93 N

• 1.7 N

• 0.80 N

• 0.54 N

When a force sensor is used to push a wood cylinder completely underwater, what does the force sensor primarily measure?

• The buoyant force acting on the cylinder.

• The force of gravity acting on the cylinder.

• The downward applied force required to submerge the cylinder.

• The density of the water.

For a wood cylinder held fully submerged in water by an external downward force, which of the following equations correctly describes the relationship between the forces? (Assume upward is positive)

• Buoyant Force = Applied Force + Force of Gravity

• Applied Force = Buoyant Force + Force of Gravity

• Force of Gravity = Buoyant Force + Applied Force

• Buoyant Force + Applied Force + Force of Gravity = 0

Which of the following is a common mistake when calculating buoyant force using the equation F_B = ρ_f V_f g?

• Using the density of the object instead of the density of the fluid displaced.

• Using the volume of the object instead of the volume of the fluid displaced when the object is floating.

• Forgetting to include the acceleration due to gravity (g).

• Both A and B.