What is Dimensional Formula of Torque?

The dimensional formula of torque is a mathematical expression that describes the relationship between the physical variables of torque and its associated units. Torque is defined as the product of a force and a distance, and is measured in newton-meters (Nm). The formula for torque is F x d, where F is the force and d is the distance. This formula can be expressed as a mathematical equation using the SI (International System of Units) units of newton-meters (Nm).

Understanding the Dimensional Formula of Torque

The dimensional formula of torque is derived from the formula for torque, which is F x d. To understand the dimensional formula of torque, it is important to understand the concept of torque. Torque is a measure of the rotational force applied to an object, and it is measured in newton-meters (Nm). The force is applied in a direction perpendicular to the line of action of the force, and the distance is measured from the point of application of the force to the axis of rotation.

How to Calculate Torque?

To calculate torque, the formula F x d is used. This formula can be expressed as a mathematical equation using the SI (International System of Units) units of newton-meters (Nm). To calculate torque, the force applied to an object must be known, as well as the distance from the point of application of the force to the axis of rotation. Once these values are known, the torque can be calculated by multiplying the force by the distance.

Examples of Dimensional Formula of Torque

The dimensional formula of torque can be used to calculate torque for a number of different scenarios. For example, if a force of 10 newtons is applied to an object at a distance of 2 meters from the axis of rotation, the torque can be calculated using the formula F x d, which is 10 x 2 = 20 Nm. Another example is if a force of 20 newtons is applied to an object at a distance of 3 meters from the axis of rotation, then the torque can be calculated using the formula F x d, which is 20 x 3 = 60 Nm.

Applications of Dimensional Formula of Torque

The dimensional formula of torque is used in many different applications, such as in the construction and operation of machines, engines, and other mechanical systems. It is also used in the design of structures and in the calculation of forces acting on objects. In addition, the dimensional formula of torque can be used to calculate the amount of work required to move an object from one point to another.