How to find the angle between r and the x axis?

  • Thread starter Thread starter deaninator
  • Start date Start date
  • Tags Tags
    Angle Axis
AI Thread Summary
To find the angle between vector r and the x-axis, it's essential to correctly calculate the magnitude of r. Initial calculations led to an incorrect value of 8.5, which was identified as a miscalculation. After re-evaluating the expression, the correct magnitude of r was found to be 4.6. The angle was then recalculated to be approximately 86.64 degrees, which was confirmed as correct. Accurate computation of vector components is crucial for determining angles in vector analysis.
Physics news on Phys.org
You miscalculated r.
 
Recheck how you computed the expression for r. The expression with the square root looks ok, but I find that it evaluates to 4.6, not 8.5.
 
fzero said:
Recheck how you computed the expression for r. The expression with the square root looks ok, but I find that it evaluates to 4.6, not 8.5.

Ok so i got 86.64 is that correct?
 
Looks right.
 
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