An airplane is doing a vertical loop in the air. The airplane goes at a velocity of 320 and at the top of the loop, n=500N. The pilot weighs 62kg.
calc the radius of the loop
vertical loop, given: v=320, n at the top=510N, m=62kg
i don't know what eqn i use to find the radius of the loop..
What is n?
You will be using centripetal force=weight of plane and pilot
v^2/r= g
Normally, if at the top centforce exactly equals weight.
but I don't know what you mean by n.
To find the radius of the loop, we can use the centripetal force equation:
Fc = m * (v^2 / r)
Where:
- Fc is the centripetal force (equal to the normal force at the top of the loop),
- m is the mass of the pilot,
- v is the velocity of the airplane,
- r is the radius of the loop.
In this case, the centripetal force at the top of the loop is equal to the normal force:
Fc = n = 500N
Plugging in the given values:
500N = 62kg * (320^2 / r)
Now we can solve this equation to find the radius of the loop.
Rearranging the equation:
r = 62kg * (320^2 / 500N)
Calculating:
r = 62kg * (102,400 / 500N)
r ≈ 12,704 meters
Therefore, the radius of the loop is approximately 12,704 meters.