1. What is Dimensional Formula of Frictional Force?

Definition: The dimensional formula represents the physical quantity in terms of fundamental dimensions (Mass, Length, Time).

Purpose: It helps in understanding the nature of frictional force and verifying the correctness of physical equations.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

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

Explanation: The dimensional formula shows that frictional force depends on mass, length, and the square of time.

3. Importance of Dimensional Analysis

Details: Dimensional analysis helps verify equations, convert units, and understand relationships between physical quantities.

4. Using the Calculator

Tips: Enter values for mass (kg), length (m), and time (s). The calculator will compute the dimensional value of frictional force in kg·m/s² (equivalent to Newtons).

5. Frequently Asked Questions (FAQ)

Q1: Why is frictional force dimension [M L T⁻²]?
A: This comes from Newton's second law (F=ma), where force equals mass times acceleration (which has dimensions L T⁻²).

Q2: What are the fundamental dimensions?
A: In mechanics, the fundamental dimensions are Mass (M), Length (L), and Time (T).

Q3: How is this different from units?
A: Dimensions represent the physical nature, while units are specific measurements (e.g., kg for mass, m for length).

Q4: Can I use different units?
A: Yes, but ensure consistency. The calculator uses SI units (kg, m, s) by default.

Q5: What's the practical use of dimensional analysis?
A: It helps check equation validity, derive relationships, and convert between unit systems.