What is dimensional analysis and how is it used?
When one is faced with a problem requiring derivation of an equation, they might be asked to use dimensional analysis. This is a concept that involves analyzing the units of known quantities (usually it is easy to work in SI, one could work out these base quantities like mass in kg, distance in m, time in s, etc. by using more basic known equations) using the fact that any physically meaningful equation has the same dimensions (units, factors) on the left and the right side.
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Related Physics A Level answers
All answers ▸Describe simple harmonic motion (SHM). Sketch a displacement-time graph for a particle undergoing SHM and the corresponding velocity-time and acceleration-time graphs. Use these graphs to describe the relationship between accleration and displacment.
Two cars start at point A. Car 1 moves in a direction at 5 m/s. After 10 seconds car 2 accelerates in the same direction as car 1 at 2m/s^2. At what time after car 1 starts moving and distance from A does car 2 pass car 1?
This Question is a multi-parter but all around the same scenario. Similar to an end of paper A-level physics question.
The speed of water moving through a turbine is 2.5 m/s. Show that the mass of water passing through an area of 500 metres squared in one second is about 1 x 10^6 kg (density of sea water = 1030 kg/m^3)