Podcast
Questions and Answers
What is the equivalent speed of 90 km/h in m/s?
What is the equivalent speed of 90 km/h in m/s?
Which of these quantities share the same dimensions?
Which of these quantities share the same dimensions?
What is the correct unit conversion for 15 m/s to km/h?
What is the correct unit conversion for 15 m/s to km/h?
Which units can be used for Work, Energy, Moment, and Torque?
Which units can be used for Work, Energy, Moment, and Torque?
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Which of these statements is true?
Which of these statements is true?
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What is the equivalent of 85 $kmh^{-1}$ in $ms^{-1}$?
What is the equivalent of 85 $kmh^{-1}$ in $ms^{-1}$?
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How many $kg/m^3$ are equivalent to 7.5 $g/cm^3$?
How many $kg/m^3$ are equivalent to 7.5 $g/cm^3$?
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Convert 540 $ms^{-1}$ to $kmh^{-1}$.
Convert 540 $ms^{-1}$ to $kmh^{-1}$.
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If a material has a density of 25600 $kg/m^3$, what is its density in $g/cm^3$?
If a material has a density of 25600 $kg/m^3$, what is its density in $g/cm^3$?
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What do pressure, Young's modulus, and stress have in common?
What do pressure, Young's modulus, and stress have in common?
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Study Notes
Units of Density
- Density can be measured in units of $kgm^3$ or $gcm^3$
- To convert between these units: divide $kgm^3$ by 1000 or multiply $gcm^3$ by 1000
- Examples: 13600 $kgm^3$ = 13.6 $gcm^3$, 2.5 $gcm^3$ = 2500 $kgm^3$
Units of Speed and Velocity
- Speed and velocity can be measured in units of $kmh⁻¹$ or $ms⁻¹$
- To convert between these units: multiply $kmh⁻¹$ by 5/18 or multiply $ms⁻¹$ by 18/5
- Examples: 72 $kmh⁻¹$ = 20 $ms⁻¹$, 50 $ms⁻¹$ = 180 $kmh⁻¹$
Units of Physical Quantities
- Pressure, Young's Modulus, and Stress have the same dimensions and units
- Frequency, Angular Velocity, and Velocity Gradient have the same dimensions
- Linear Momentum, Momentum, and Impulse have the same dimensions and units
- Work, Energy, Moment, and Torque have the same dimensions
- Note: Joules can only be used for Work and Energy, while Nm can be used for all of these quantities
- The Planck Constant and Angular Momentum have the same dimensions and units
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Description
Practice converting units of density, speed, and velocity, including kgm^3 to gcm^3 and kmh⁻¹ to ms⁻¹. Test your understanding of physical units and conversion factors.
