a force of 70N keeps a 70-kg pilot in circular motion if he is flying a small plane at 35 m/s in circular path, what is the radius of the circular path?
70 = m v^2/r
70 = 70 (35)^2 /r
r = 35^2 = 1225
To find the radius of the circular path, we can use the centripetal force formula:
F = (m * v^2) / r
where:
F is the centripetal force (70 N),
m is the mass of the pilot (70 kg),
v is the velocity (35 m/s), and
r is the radius of the circular path (unknown).
Now we can rearrange the formula to solve for r:
r = (m * v^2) / F
Substituting the values we know:
r = (70 kg * (35 m/s)^2) / 70 N
Now let's calculate the value:
r = (70 kg * 1225 m^2/s^2) / 70 N
= 85750 kg·m^2/s^2 / 70 N
≈ 1225 m
Therefore, the radius of the circular path is approximately 1225 meters.