Load

FIELDS OF STUDY: Classical Mechanics

ABSTRACT: Load in classical physics typically refers to "mechanical load"—the resistance acting against a mechanical system or machine such as a pulley or a motor. This resistance is a force, measured in newtons. It is what must be overcome by the machine in order to move the target object. In most earthbound systems, the target object’s weight—the downward force imparted to it by the planet’s gravity—is a major component of the load.

PRINCIPAL TERMS

  • energy: a property of matter and objects that can be transferred and transformed but never created or destroyed, sometimes described as the ability to do work; measured in joules (J).
  • force: any interaction, such as a push or pull, that changes the motion of an object; measured in newtons (N).
  • mass: how much matter there is in an object; measured in kilograms or pounds. Mass determines the effects of gravitation and inertia. Unlike weight, which is dependent on gravitation, an object’s mass remains constant throughout the universe.
  • weight: the downward force imparted to an object by gravity acting on its mass; measured according to the International System of Units (SI) in newtons, though it is normally expressed in units of mass for everyday objects on Earth.

Mechanical Load Is a Force

A load, colloquially, refers to some objects or other quantity that needs to be moved, manipulated, or otherwise worked with. In classical physics, load typically refers to mechanical load—that is, the resistance that a machine (such as a pulley or a motor) needs to overcome to do its job. This resistance is a force, an interaction that tends to change the motion of an object. When something or someone attempts to lift an object, for example, gravity creates a resistant force.

Because load is a force, it is best quantified in terms of newtons (N), the standard unit of force. One newton is defined as the force needed to accelerate a mass of one kilogram at a rate of one meter per second over one second of time (kg∙m/s2). This is roughly the force necessary to lift a medium-sized apple from the ground to chest height.

Machines, Energy, and Force

Machines, at a basic level, transfer and transform energy. Energy is a fundamental property of matter that can be transferred or transformed but never destroyed. An automobile combustion engine, for example, transforms the chemical energy in gasoline into kinetic energy. Then it transfers this energy from the engine to the wheels. Energy is the capacity for doing work, and work is the application of a force over a distance (that is, moving something). Machines transform the potential for work contained in energy (such as electrical energy from a power plant or chemical energy produced in the human body) into work by creating force.

When calculating mechanical load and the ability of machines to perform work, it is necessary to understand the forces in play. The net force is the sum of all the forces acting on the target object.

Weight versus Mass

Weight is the downward force applied to an object by gravity. As such, weight is often an important factor in the load of a machine, especially if the system is trying to lift something. Even when moving an object horizontally, however, the target object’s weight will need to be compensated for by the machine.

On Earth, weight is often used interchangeably with mass, which is the amount of matter in an object and is not affected by gravity. Scales, for instance, measure weight but offer readings in terms of mass units—kilograms or pounds. What scales on Earth are actually measuring is the downward force of gravity, but mass units are much more familiar to people than units of force (newtons). On Earth, it does not matter much, because the force of gravity is essentially a constant.

Once other planets and satellites come into play, however, the differences between weight and mass become apparent. Weight is actually a function of the mass of an object and the gravity acting on it. It changes when the gravity changes. So a person on Earth might step on a scale and see a weight of two hundred pounds (approximately ninety-one kilograms), but on the moon that person would weigh only around thirty-three pounds (fifteen kilograms).

The reality is, the downward force acting on this person is indeed different at the two locations. It is a function of gravity, and the moon’s gravity is much smaller than Earth’s. However, technically, the units are wrong. Kilograms and pounds are units of mass. Mass quantifies the amount of matter in an object, and mass remains constant throughout the universe regardless of gravitation; a ninety-one-kilogram person on Earth still contains ninety-one kilograms of matter on the moon.

Force, Weight, and Acceleration due to Gravity

Weight is a force. Force (F), in classical physics, is equal to mass (m) multiplied by acceleration (a):

F = ma

Therefore, weight can be written as Fg, the force of gravity. Similarly, the acceleration in the above formula can be replaced with the acceleration due to gravity (g). To calculate an object’s weight (W) in newtons using its mass, then, simply multiply the mass in kilograms times the acceleration due to gravity (g) acting on the object in meters per second squared:

W = Fg = mg

For example, acceleration due to gravity on Earth is 9.8 meters per second squared, so a two-hundred-pound (ninety-one-kilogram) person on Earth would have a weight of

W = mg

W = 91 kg × 9.8 m/s2

W = 891.8 kg∙m/s2

Finally, a kilogram-meter per second squared is a newton, so:

W = 891.8 N

Sample Problem

The maximum load that a given machine can handle can be calculated if one knows the force generated by the machine. Consider a simple single-pulley system attached to a weight. The pulley system does not move and serves only to alter the direction of the force applied. It is arranged vertically, so that a person can stand next to the weight and pull straight downward on one end of the rope running through the pulley. This produces an opposite, upward force on the weight at the other end of the rope. Assume a perfectly frictionless pulley. The person operating the pulley "weighs" seventy-five kilograms. What is the maximum load the person can lift? In other words, how much force can the person generate?

Answer:

No matter how hard the person pulls, he or she will never be able to generate more force than his or her weight. So if the person jumps up and grabs the rope, letting his or her full weight act on it, the force applied to the rope will be equal to the person’s weight. Use the formula for weight (W) as a force (F), where m is the mass and g is the acceleration due to gravity:

W = F = mg

Plug in the known values and solve:

F = 75 kg × 9.8 m/s2

F = 735 kg·m/s2 = 735 N

More advanced calculations of load and maximum load may be influenced by mechanical advantage (an amplification in force produced by many machines) or sources of resistance other than gravity (such as friction or water resistance). However, the key to determining load will always be in determining what force needs to be overcome in order to achieve the desired effect.

Loads in Daily Life

Simple machines, and thus the loads they move, permeate every aspect of daily life. In industries like shipping, pulleys and inclined planes in the form of ramps often help lift large loads. Understanding the maximum load capacity of a given machine is vital to the safety of both the products being moved and the machine operator.

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