Centripetal Force: 80kg Pilot in Jet at 305m/s

AI Thread Summary
An 80 kg pilot experiences centripetal force while performing a loop in a jet at a speed of 305 m/s and a loop radius of 1.9 km. The pilot's angular velocity (omega) was calculated to be 0.1605 rad/s. The attempt to find the apparent weight at the bottom of the loop involved using the formula for centripetal acceleration (Acp), but the initial calculation of Acp was incorrect. The correct approach combines gravitational force (mg) with the centripetal acceleration to determine the total force felt by the pilot. Accurate calculations are crucial for determining the apparent weight experienced during the maneuver.
electricheart
Messages
6
Reaction score
0

Homework Statement



An 80 kg pilot, makes a loop the loop in a jet, the jet maintains a constant speed of 305 m/s and the radius of the loop is 1.900km. What is the apparent weiht that the pilot feels( Force) at the bottom of the loop the loop.

Homework Equations


Acp=w^2/r
w=(v/r)
F= ma or F= mg


The Attempt at a Solution


First I solved for omega w=0.1605, then I solved for Acp=0.0000136
the Force the pilot feels at the bottom of the loop would be
mg+ Acp or is this wrong?
 
Physics news on Phys.org
I figured out what I was doing wrong, I calculated the Acp wrong.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top