what is the centripetal force acting on each kilogram of an airplane that is turning at 200 m/s in a horizontal circle of radius 10,000m?
F=mv²/r
The answer is in newtons if all quantities are expressed in kilograms, metres and seconds.
Can you take it from here?
4N
To calculate the centripetal force acting on each kilogram of an airplane, we need to use the formula for centripetal force:
F = (m * v^2) / r
Where:
F is the centripetal force,
m is the mass of the object (per kilogram in this case),
v is the velocity of the object,
r is the radius of the circular path.
In this case, we are given the following values:
v = 200 m/s (velocity)
r = 10,000 m (radius)
Now, we can substitute the given values into the formula:
F = (m * (200 m/s)^2) / 10,000 m
To find the centripetal force in N/kg, we can simplify the equation:
F = (m * 40,000 m^2/s^2) / 10,000 m
= (40 m * 1,000 m/s^2) / 10,000 m
= 4 m/s^2
Therefore, the centripetal force acting on each kilogram of the airplane is 4 Newtons per kilogram (N/kg).