10 Questions
What is the equivalent speed of 90 km/h in m/s?
25 m/s
Which of these quantities share the same dimensions?
Pressure, Young's Modulus, and Stress
What is the correct unit conversion for 15 m/s to km/h?
54 km/h
Which units can be used for Work, Energy, Moment, and Torque?
Joules and Nm
Which of these statements is true?
Plank Constant and Angular Momentum have the same dimensions
What is the equivalent of 85 $kmh^{-1}$ in $ms^{-1}$?
23.6 $ms^{-1}$
How many $kg/m^3$ are equivalent to 7.5 $g/cm^3$?
7500 $kg/m^3$
Convert 540 $ms^{-1}$ to $kmh^{-1}$.
1080 $kmh^{-1}$
If a material has a density of 25600 $kg/m^3$, what is its density in $g/cm^3$?
25.6 $g/cm^3$
What do pressure, Young's modulus, and stress have in common?
They have the same dimension and units.
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
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.
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