Moment of inertia of triangle about tip formula

AI Thread Summary
The discussion centers on calculating the moment of inertia for a four-blade propeller, with the blades assumed to be triangular in shape. The user sought a formula for the mass moment of inertia about the tip of each triangular blade but found existing resources insufficient. Ultimately, the user decided to perform the integral calculation despite initially wanting to avoid it. The conversation highlights the challenges of finding specific formulas for geometric shapes in engineering applications. The thread concludes with the user acknowledging the need to resort to integration for a solution.
RussellJ
Messages
6
Reaction score
0

Homework Statement


Calculate the moment of inertia of a 4 blade propeller


Homework Equations





The Attempt at a Solution



I am assuming the propeller blades to be triangles and need a formula for the mass moment of inertia about the tip of each triangular blade. Google hasn't helped thus far. Integration isn't necessary.
 
Physics news on Phys.org
Case closed. I sucked it up and did the integral.
 
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...
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}...
Back
Top