Download Unit and Dimensional Analysis Name

Unit and Dimensional Analysis
Name: _____________________________
There are 7 fundamental/basic units in physics:
1.
2.
3.
4.
5.
6.
7.
Dimension
Systeme
Internationale
(SI) System Units
Length [L]
Mass [M]
Time [T]
Current
Temperature
Amount of Substance
Luminous Intensity
Meter (m)
Kilogram (kg)
Second (s)
Ampere (A)
Kelvin (K)
Mole (mol)
Candela (cd)
Centimeter-GramSecond
(CGS) System
Units
Centimeter (cm)
Gram (g)
Second (s)
British
Engineering
(BE) System
Units
Foot (ft)
Slug (sl)
Second (s)
All other units are derived from these and are called (oddly enough) Derived units. Some of the derived units we will
be working with are:
SI Dimension
1. Charge
2. Velocity
3. Acceleration
4. Force
5. Area
6. Volume
7. Energy
8. Work
9. Power
10. Pressure
11. Frequency
12. Angle
13. Angular velocity
14. Angular acceleration
15. Torque
16. Density
17. Resistance
18. Electric Potential (Voltage)
19. Capacitance
20. Magnetic Field Strength
21. Magnetic Flux
1.
SI Unit
Coulomb (C)
Meter s per second (m/s)
Meters per second-squared (m/s2)
Newton (N)
meters-squared (m2)
meters-cubed (m3)
Joule (J)
Joule (J)
Watt (W)
Pascal (Pa)
Hertz (Hz)
Radians (rad)
Radians per second (rad/s)
Radians per second-squared (rad/s2)
Newton·meter (N·m)
Kilograms per meters-cubed (kg/m3)
Ohms (Ω)
Volts (V)
Farad (F)
Tesla (T)
Weber (Wb)
Given that Force = mass x acceleration, express the unit for force in basic SI units.
2. Given that the formula for Gravitational Potential Energy (GPE) = mass x acceleration due to gravity x height,
express the unit for GPE in basic SI units.
Unit Analysis Wenzel 20130823
3. The equation for power = energy / time. Express the unit for power in basic SI units.
4. The equation for pressure = force / area. Express the unit for pressure in basic SI units.
5. The equation for wavespeed = frequency x wavelength. Express the unit for frequency in basic SI units.
6. The equation for charge = current x time. Express the unit for charge in basic SI units.
7.
The equation for electric potential = energy / charge. Express the unit for electric potential in basic SI units.
8. The equation for electric potential = power / current. Express the unit for electric potential in basic SI units.
9. The equation for electric resistance = electric potential / current. Express the unit for electric resistance in
basic SI units.
10. The equation for electric capacitance = charge / electric potential. Express the unit for electrical capacitance
in basic SI units.
11. The equation for magnetic field strength = force / (current x length). Express the unit for magnetic field
strength in basic SI units.
12. The equation for magnetic flux = magnetic field strength x area. Express the unit for magnetic flux in basic Si
units.
13. The equation for arc length s of a circle with radius r is given by s = r x angle. Express the unit for angle in
basic SI units.
14. Measurement X and Y are both in units of seconds and measurement Z is in units of meters. Compare the final
units of a) dividing Z by the result of dividing X by Y with the final units of b) dividing the result of Z divided
by X by Y. Do you get the same units in both cases? Why or why not?
Unit Analysis Wenzel 20130823