First slide

Physical quantities and units

Question

The unit less quantities is

Moderate

A

velocity gradient $(y / l)$
B

pressure $(p / l)$
C

Distance gradient $(s / l)$
D

force gradient $(F / l)$

Solution

$v e l o c i t y g r a d i e n t = \frac{v e l o c i t y}{l e n g t h}; u n i t i s = \frac{m s^{- 1}}{m} = s^{- 1} p r e s s u r e g r a d i e n t = \frac{p r e s s u r e}{l e n g t h}; u n i t i s = \frac{F}{A \times l} = N m^{- 3} d i s \tan c e g r a d i e n t = \frac{d i s \tan c e}{l e n g t h}; u n i t i s \frac{m}{m} = m^{0} = 1 f o r c e g r a d i e n t = \frac{F o r c e}{l e n g t h}; u n i t i s \frac{N}{m} = N m^{- 1}$

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