1. What is Torque Dimensional Formula?

The torque dimensional formula [M L² T⁻²] represents the fundamental dimensions of torque in physics. It shows that torque has dimensions of mass times length squared divided by time squared.

2. How Does the Calculator Work?

The calculator demonstrates the dimensional formula of torque:

Where:

• M — Mass (kilograms)
• L — Length (meters)
• T — Time (seconds)

Explanation: This dimensional formula shows that torque is derived from the fundamental quantities of mass, length, and time.

3. Importance of Dimensional Analysis

Details: Dimensional analysis is crucial for checking the consistency of physical equations, converting units, and understanding the relationships between different physical quantities.

4. Using the Calculator

Tips: Enter values for mass (kg), length (m), and time (s). The calculator will display the dimensional formula and its explanation.

5. Frequently Asked Questions (FAQ)

Q1: What is torque?
A: Torque is a measure of the force that can cause an object to rotate about an axis. It is the rotational equivalent of linear force.

Q2: Why is dimensional formula important?
A: Dimensional formulas help in verifying the correctness of physical equations and in converting units from one system to another.

Q3: What are the SI units of torque?
A: The SI unit of torque is Newton-meter (N·m), which is equivalent to kg·m²/s².

Q4: How is torque calculated?
A: Torque is calculated as the product of force and the perpendicular distance from the axis of rotation to the line of action of the force.

Q5: Can dimensional formulas be used for derivation?
A: Yes, dimensional analysis can be used to derive relationships between physical quantities when the exact form of the equation is unknown.