Respuesta :
Answer:
The spinning of the Earth would make him to weigh less.
Explanation:
Given data,
The radius of the Earth, R = 6.4 x 10⁶ m
The rotational period, T = 86400 s
The mass of the man, m = 100 kg
The centripetal force at equator,
f = m v²/R
Since,
T = 2π/ω & v = Rω
v²/R = 4π²R/T²
Substituting in the equation for centripetal force,
f = 4π²mR/T²
Substituting the values,
f = 4π² x 100 x 6.4 x 10⁶ / 86400²
= 3.39 N
The centripetal force is directed along the radius towards the center, the centrifugal force acts opposite to it.
The gravitational force acting the man towards the center,
F = mg
= 100 x 9.8
= 980 N
The net force acting on the person,
F' = F - f
= 980 N - 3.39 N
= 976.61 N
Hence, this would make him to weigh less.
