Bob Pursley rechecked my question and it was correct if you scan down but he didn't direct me where to find direction of magnetic force on plane and do the pilots have to make corrections to make up for the difference? I'd appreciate any help with that, if possible
Thank you
If a aircraft flie at 1000m/s east it accumulates a 50C of charge as it passes a cloud. How would I calculate magnitude of magnetic force, direction of magnetic force on plane and do the pilots have to make corrections to make up for the difference?
Thanks in advance for any help
Physics-I forgot the magnetic field calc - Russ, Saturday, April 23, 2011 at 5:45pm
I forgot that the earth's magnetic field is 50 micro Tesla
Physics-Check what I have, please - Russ, Saturday, April 23, 2011 at 5:52pm
I think the formula is F = q(v*B)
so therefore I would say F= 50 C(1000*50T), correct or not??
I'm still not sure about the direction or if they have to make correctins to their controls
Physics - bobpursley, Saturday, April 23, 2011 at 7:05pm
You have it, correct, except for units> what happened to the micro on microTesla?
Physics-bobpursley please recheck - Russ, Saturday, April 23, 2011 at 7:43pm
Thank you for pointing that out-I totally forgot to put it back in
Could you direct me for the direction and if corrections have to be made by pilots-I'm not sure how to figure that out
The direction of the force depends upon the direction of the magnetic field, which might be neither vertical nor horizontal, but something in between. The largest it can be is
F = q V B = 50*1000*50*10^-6 = 2.5 N
If the were flying along a magnetic field line, there would be no force.
2.5 N is not enough force to require a correction. It is about the weight of a can of soda. Other forces acting on a jumbo jet plane are nearly a million times more.
To calculate the magnitude of the magnetic force, you can use the formula F = q(v * B), where F is the force, q is the charge, v is the velocity of the aircraft, and B is the magnetic field strength.
In this case, the charge is given as 50 C (Coulombs) and the velocity is given as 1000 m/s east. The magnetic field strength of the Earth is given as 50 microTesla (μT).
To calculate the magnitude of the magnetic force, you can substitute the values into the formula:
F = (50 C) * (1000 m/s) * (50 μT)
Now, you need to convert the units before performing the calculations. μT stands for microTesla, which is equal to 10^-6 T (Tesla). So, in the formula, you need to convert 50 μT to 50 * 10^-6 T.
F = (50 C) * (1000 m/s) * (50 * 10^-6 T)
Next, perform the calculations:
F = 2,500 * 10^-3 C m/s T
F = 2.5 N (Newtons)
So, the magnitude of the magnetic force is 2.5 Newtons.
To determine the direction of the magnetic force, you can use the right-hand rule. Hold your right hand flat, with your fingers pointing in the direction of the velocity (east in this case) and curl your fingers towards the magnetic field direction (upward in this case). Your thumb will point in the direction of the magnetic force, which would be upwards.
Regarding corrections that pilots might need to make, this would depend on the specific situation and aircraft. In general, if there is a significant magnetic force acting on the plane, it may cause a deviation from the desired flight path. Pilots can compensate for this by adjusting their controls, such as the ailerons, rudder, or autopilot systems. The extent of the correction required would depend on the magnetic force magnitude and the aircraft's sensitivity to such forces.