Examples Of Scalar And Vector Quantities In Physics Pdf
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Scalars and Vectors Scalars and Vectors A scalar is a number which expresses quantity.
We come into contact with many physical quantities in the natural world on a daily basis. For example, things like time, mass, weight, force, and electric charge, are physical quantities with which we are all familiar. We know that time passes and physical objects have mass. Things have weight due to gravity. We exert forces when we open doors, walk along the street and kick balls. We experience electric charge directly through static shocks in winter and through using anything which runs on electricity. There are many physical quantities in nature, and we can divide them up into two broad groups called vectors and scalars.
Vector , in physics , a quantity that has both magnitude and direction. Although a vector has magnitude and direction, it does not have position. That is, as long as its length is not changed, a vector is not altered if it is displaced parallel to itself. In contrast to vectors, ordinary quantities that have a magnitude but not a direction are called scalars. For example, displacement , velocity , and acceleration are vector quantities, while speed the magnitude of velocity , time, and mass are scalars. To qualify as a vector, a quantity having magnitude and direction must also obey certain rules of combination.
Physics is a mathematical science. The underlying concepts and principles have a mathematical basis. Throughout the course of our study of physics, we will encounter a variety of concepts that have a mathematical basis associated with them. While our emphasis will often be upon the conceptual nature of physics, we will give considerable and persistent attention to its mathematical aspect. The motion of objects can be described by words. Even a person without a background in physics has a collection of words that can be used to describe moving objects.
Scalars and Vectors
Many familiar physical quantities can be specified completely by giving a single number and the appropriate unit. Scalar quantities that have the same physical units can be added or subtracted according to the usual rules of algebra for numbers. When we multiply a scalar quantity by a number, we obtain the same scalar quantity but with a larger or smaller value. Two scalar quantities can also be multiplied or divided by each other to form a derived scalar quantity. For example, if a train covers a distance of km in 1.
Draw and use a vector triangle to determine the resultant of two coplanar vectors, such as displacement, velocity and force. Calculate the resultant of two perpendicular vectors such as displacement, velocity and force. Resolve a vector such as displacement, velocity and force into two perpendicular components. The length of the arrow represents the magnitude of the vector quantity and the direction of the arrow represents the direction of the vector quantity. Draw a vector to represent the 15 N force a horizontal line which is 3 cm long. Then draw the vector to represent the 40 N force a vertical line which is 8 cm long with its tail starting at the tip of the 15 N force vector.
The distance, on the other hand, is a scalar quantity indicating the total distance moved, including any diversions from a straight path. For example, Figure
Scalar and Vector Quantities
In the study of physics, there are many different aspects to measure and many types of measurement tools. Scalar and vector quantities are two of these types of measurement tools. Keep reading for examples of scalar quantity and examples of vector quantity in physics.
Algebra of Vectors in One Dimension
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