Physical Quantities & SI Units Flashcards

1
Q

What are the SI units for the following?

  • Length
  • Mass
  • Time
  • Temperature
  • Electric Current
  • Luminous Intensity
  • Amount of substance
A
  • Length: metre/m
  • Mass: kilogram/kg
  • Time: second/s
  • Temperature: Kelvin/K
  • Electric Current: Ampere/A
  • Luminous Intensity: Candela/cd
  • Amount of Substance: moles/mol
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2
Q

What are the base 10 values of the following prefixes?

  • Giga
  • Mega
  • Kilo
  • Hecto
  • Deca
  • Deci
  • Centi
  • Milli
  • Micro
  • Nano
  • Pico
A
  • Giga: 10⁹
  • Mega: 10⁶
  • Kilo: 10³
  • Hecto: 10²
  • Deca: 10¹
  • Deci: 10⁻¹
  • Centi: 10⁻²
  • Milli: 10⁻³
  • Micro: 10⁻⁶
  • Nano: 10⁻⁹
  • Pico: 10⁻¹²
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3
Q

To convert km h⁻¹ to m s⁻¹, you’ll have to:

A

÷ 3.6

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4
Q

To convert m s⁻¹ to To convert km h⁻¹, you’ll have to:

A

× 3.6

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5
Q

What are the values associated with the imperial units?

Mass, m (kilogram):

  • 1lb
  • 1 oz
  • 1 stone

Length, l (metre):

  • 1 in
  • 1 ft
  • yd
  • mi
A

Mass, m (kilogram):

  • 1lb: 28.35g
  • 1 oz: 0.45 kg
  • 1 stone: 6.35

Length, l (metre):

  • 1 in: 2.54cm
  • 1 ft: 30.48cm
  • yd: 0.9144m
  • mi: 1.61km
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6
Q

What are Dimensional Quantities?

A

Dimensionless quantities are quantities expressed solely by a number and have no units.

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7
Q

What are some applications of dimensional analysis?

A
  • One application of dimensional analysis is in checking whether an equation is physically meaningful by
    ensuring that both sides of the equation have the same dimensions.
  • When both sides of an equation have the same dimensions, the equation is said to have dimensional homogeneity or be dimensionally homogeneous.
  • Another application of dimensional analysis is to predict the form of an equation.
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8
Q

What are the base units of these dimensions?

  • Mass
  • Length
  • Time
  • Temperature
  • Electric Current
  • Luminosity
A
  • Mass: M
  • Length: L
  • Time: T
  • Temperature: θ
  • Electric Current: I
  • Luminosity: J
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9
Q

What are the dimensions of the derived quantities?

  • Area (A)
  • Volume (V)
  • Speed (v)
  • Acceleration (a)
A
  • Area (A): L²
  • Volume (V): L³
  • Speed (v): L T⁻¹
  • Acceleration (a): L T⁻²
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