Weight equals mass multiplied by the acceleration due to gravity.
Answer:
G = 6.6675 x N/
Explanation:
From Newton's law of universal gravitation,
F = .................. 1
Where F is the force of attraction, G is the universal gravitation constant, M is the mass of a massive object e.g earth, m is the mass of the smaller object e.g moon, r is the radius of the massive object.
Newton's second law states;
F = mg ................... 2
F is the force, m is the mass of the object and g is the gravitational force on the object.
Equating equations 1 and 2 gives;
mg =
So that;
g =
⇒ G =
where: g = 9.81 m/, r = 6371 km, M = 5.972 x kg.
G =
=
= 6.6675 x N/
The Universal Gravitational Constant (G) is 6.6675 x N/.
With arms outstretched,
Moment of inertia is I = 5.0 kg-m².
Rotational speed is ω = (3 rev/s)*(2π rad/rev) = 6π rad/s
The torque required is
T = Iω = (5.0 kg-m²)*(6π rad/s) = 30π
Assume that the same torque drives the rotational motion at a moment of inertia of 2.0 kg-m².
If u = new rotational speed (rad/s), then
T = 2u = 30π
u = 15π rad/s
= (15π rad/s)*(1 rev/2π rad)
= 7.5 rev/s
Answer: 7.5 revolutions per second.