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Sir Isaac Newton
Sir Isaac Newton, born in 1643, was an Englishman, renowned for both his science and
mathematical knowledge. He invented calculus, pioneered the field of optics, and investigated
philosophy. However, he may be most well known for his groundbreaking work, Philosophiae
Naturalis Principia Mathematica, or as it is more commonly known, simply Principia.
Gravity
Many people have heard the story of Sir Isaac Newton sitting under an apple tree; as he sat,
an apple suddenly fell from the tree, hitting him on the head. And from this knock, it is said
that he suddenly came up with the notion of gravity.
Now, no one really knows if this story is accurate, but we do know that Newton acknowledged
that the concept of a "universal force" came to him in the country. Newton said that he
suddenly realized that it is the exact same force pulling an object to earth, as that which
keeps the moon in earth's orbit.
Newton realized that the force of universal gravitation makes every pair of bodies
attract. The magnitude of this force is directly proportional to the masses of the bodies, and
inversely proportional to the square of the distances:
Principia
In August of 1864, Newton was visited by Edmund Halley, an English astronomer, who found that
Newton had completed an extensive investigation into gravity and motion. Halley was so
enthralled by what he saw that he convinced Newton to publish his findings. Finally, in 1867,
Newton's Philosophiae Naturalis Principia Mathematica was published.
In it, were explorations into gravity and motion - to be specific, Newton's three fundamental
laws of motion, aptly named the First, Second, and Third Laws, as they are referred to today
in physics. Each law stated a basic concept of physics:
- A body at rest remains at rest and a body in motion continues to move at a constant
velocity unless acted on by an external force.
- A force acting on a body gives it an acceleration which is in the direction of the force
and has magnitude inversely proportional to the mass of the body.
- Whenever a body exerts a force on another body, the latter exerts a force of equal
magnitude and opposite direction on the former.
Newton's Three Laws
In many sections of AeroNet, you probably noticed the connections to the Third Law, especially
in reference to thrust. However, connections can be made to
all three laws within AeroNet.
Newton's First Law states that something stationary will remain stationary, and something
moving will continue to move, unless a force acts on it. The most obvious example of an
aerodynamic connection is with drag. A plane would never need thrust once at cruising speed if
there were no drag - according to Newton's First Law, the plane would never slow down! In
fact, it would require reverse thrust to slow it down. However, the force of drag, of the wind
against the plane, is constantly there. In order for the plane to stay at cruising speed, the
force from thrust must counteract the force of the drag.
In the Second Law, Newton states that the acceleration of a body, or its change in speed, is
dependent upon the force on that body. Here, one can observe the dependence on this law by lift and weight. As a plane is
flying through the air, its altitude should remain relatively constant. So if its
vertical speed is approximately 0, it should not be changing, except for small corrections. In
order for the vertical speed to remain approximately 0, the vertical acceleration should stay
nearly zero. By the Second Law, this requires that the vertical force on the plane remain
small. Since the total force on the plane is equal to the sum of the forces, the weight must
be canceled out by the lift, so that the sum is small.
In order for a plane to propel itself, it must use an aspect of Newton's Third Law: that every
force has an opposite force directed at the source. A plane propels itself by forcing small
particles, both air and fuel, backwards at high speed. The force the plane exerts on the
particles is reciprocated, and the air and fuel mixture pushes back against the plane,
propelling it forwards.
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