A student attempts to derive the formula for the period of a simple pendulum using dimensional analysis. They correctly identify the relevant variables as length (L), mass (m), and gravitational acceleration (g). Which of the following represents a fundamental limitation they will encounter?
Inability to determine the numerical constant in the formula.
Dimensional analysis cannot handle the trigonometric functions involved in the derivation.
Mass (m) is not a relevant variable for the period of a simple pendulum, making the analysis invalid.
Dimensional analysis can only be used for linear relationships between variables.
Related Questions
If the formula for the velocity of a wave is given by , where is tension and is mass per unit length. Using dimensional analysis, which aspect of this formula cannot be derived?
The dimensions of velocity
The dimensions of tension
The dimensions of mass per unit length
That the relationship is a square root
