How Do You Calculate the Radius of a Submerged Iron Ball?

  • Thread starter Thread starter bearhug
  • Start date Start date
  • Tags Tags
    Buoyancy Radius
AI Thread Summary
To calculate the radius of the submerged iron ball, the discussion emphasizes treating the floating cylinder and the submerged ball as separate objects. The cylinder's dimensions and density are provided, with a focus on the buoyant force acting on it. The equation p(liq)gV(obj) = Mg is suggested as a starting point for the calculations, indicating a relationship between the liquid density, gravitational force, and the volume of the object. The approach of analyzing the floating object first is deemed appropriate. Ultimately, understanding the forces acting on both the cylinder and the ball is crucial for solving the problem accurately.
bearhug
Messages
78
Reaction score
0
An iron ball is suspended by a thread of negligible mass from an upright cylinder that floats partially submerged in water. The cylinder has a height of 6.00 cm, a face area of 12.0 cm^2 on the top and bottom, and a density of 0.30 g/cm^3. 2.00 cm of its height is above the surface. What is the radius of the iron ball?

The ball is completely submerged but the cylinder is floating so which a should I solve it first, submerged or floating. I'm approaching it as a floating object right now.

Using the equation p(liq)gV(obj)= Mg

Is this in the right direction?
 
Physics news on Phys.org
I would treat each object separately, considering all the forces on them.
 

Thread 'Struggling to understand the concept of this question (ice cube in water optics question)'

TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
View full post »
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Similar threads

Calculating the Radius of a Metallic Ball
Replies
8
Views
2K
How Do You Calculate the Density of a Partially Submerged Cube?
Replies
3
Views
3K
How Does Buoyancy Affect Balance Scale Readings?
Replies
4
Views
3K
Archimede's Principle and Work due to buoyant force
Replies
1
Views
3K
Stability of a floating cylinder
Replies
7
Views
2K
Need Help finding radius of ball using bouyancy
Replies
3
Views
10K
How Do You Calculate the Speed of a Rod in a Magnetic Field?
Replies
25
Views
2K
How High Will the Ball Shoot Above the Water?
Replies
1
Views
3K
How Do You Calculate the Ratio h/R for a Spinning Billiard Ball?
Replies
3
Views
3K
How Do You Calculate the Volume of a Floating Object?
Replies
10
Views
11K

Hot Threads

Recent Insights

Back
Top