Formulas Flashcards

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1
Q

Density

A

Mass/Volume

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2
Q

Moment (Nm)

A

Force (N) x Perpendicular Distance (m)

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3
Q

Torque (Nm)

A

Radius (m) x Force (N) x sin(angle)

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4
Q

Stress (Pa or N/m^2)

A

Force (N)
————
Area (m^2)

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5
Q

Strain (No unit)

A

Deformation (m)
—————————
Original length (m)

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6
Q

Young’s Modulus
Elasticity (no unit)

A

Stress (Pa or N/m^2)
——————————
Strain (No Unit)

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7
Q

Bulk’s Modulus

A

Pressure/Volumetric Strain

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8
Q

Pressure (N/m^2 or Pa or psi)

A

Force (N)
—————
Area (m^2)

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9
Q

Poisson’s Ratio

A

Transverse Strain/Axial Strain

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10
Q

Centripetal Acceleration (m/s^2)

A

Velocity (m/s)^2
————————
Radius (m)

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11
Q

Centripetal Force (N)

A

Mass (kg) x velocity (m/s)^2
—————————————
Radius

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12
Q

Velocity Ratio

A

Distance moved by effort/Distance moved by load

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13
Q

Mechanical Advantage

A

Resistance/Effort

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14
Q

Work (J)

A

Force (N) x Distance moved (m)

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15
Q

Efficiency

A

Work output/Work input

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16
Q

Percentage Efficiency

A

Work output/Work input x 100%

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17
Q

Weight

A

Mass x Gravity

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18
Q

Power

A

Energy used/time taken
OR
Work done/time taken

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19
Q

Distance

A

Force x Velocity

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20
Q

Force

A

Mass (kg) x Acceleration (m/s^2)

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21
Q

Potential Energy

A

Mass x Gravity x Height

22
Q

Kinetic energy

A

1/2 x Mass x Velocity^2

23
Q

Momentum

A

Mass x Velocity

24
Q

Celsius

A

5/9 x (Fahrenheit-32)

25
Q

Fahrenheit

A

9/5 x Celsius + 32

26
Q

Torque applied by couple (Nm)

A

One of the Forces (N) x Radius/distance from centre of rotation (m) x 2

27
Q

Centre of Gravity distance (m)

A

Total Moment (Nm)
—————————-
Total Weight (N)

28
Q

Hooke’s Law
Force (N)

A

Spring Constant (N/m) x Extension (m)

29
Q

Absolute Pressure (N/m^2 or Pa or Psi)

A

Gauge Pressure (N/m^2 or Pa or Psi) + Atmospheric Pressure (N/m^2 or Pa or Psi)

30
Q

Flotation Ratio (No Unit)

A

Density of the body (Kg/m^3)
——————————————
Density of the Fluid (Kg/m^3)

31
Q

Displacement where acceleration is constant (m)
Equation 1

A

(Initial Velocity(m/s) + Final Velocity(m/s)) x time (s)
————————————————————————
2

32
Q

Displacement where acceleration is constant (m)
Equation 2

A

Final Velocity (m/s) x time (s)

33
Q

Displacement where acceleration is constant (m)
Equation 3

A

Initial Velocity (m/s) x time (s) + 0.5 x acceleration (m/s^2) x time (s)^2

34
Q

Height where acceleration is constant (m)

A

Initial Velocity (m/s) x time (s) + 0.5 x grav acceleration (m/s^2) x time (s)^2

35
Q

Final Velocity where acceleration is constant (m/s)

A

Initial Velocity (m/s) + acceleration (m/s^2) x time (s)

36
Q

Acceleration where acceleration is constant (m/s^2)
Equation 1

A

Final Velocity (m/s)^2 - Initial Velocity (m/s)^2
—————————————————————-
2 x displacement (m)

37
Q

Acceleration where acceleration is constant (m/s^2)
Equation 2

A

Change in final Velocity (m/s^2)
———————————————
Time (s)

38
Q

Periodic time of Pendular movement (s)

A

Length of Pendulum (m)
2 x PI x SQUARE ROOT OF —————————————
grav acceleration (m/s^2)

39
Q

Constant volume process
Heat energy added (J)

A

Change in internal energy (J)

40
Q

Constant Pressure Process
Work (J)

A

Pressure (Pa) x change in volume (m^3)

41
Q

Speed of Light (m/s)

A

Wavelength of light (m) x Frequency of light (Hz/cycle per second)

42
Q

Speed of light in vacuum (m/s)
(Value)

A

3 x 10^8 m/s or 300,000,000m/s

43
Q

Refractive Index (No unit)

A

Speed of light in vacuum (3x10^8 m/s)
——————————————————
Speed of light in material (m/s)

44
Q

Periodic Time of sine wave (s)

A

1
—————————————————
Frequency (Hz or cycles per second)

45
Q

Frequency of sine wave (Hz or cycles per second)

A

1
————————
Periodic time (s)

46
Q

Wavelength of sine wave (m)

A

Wave speed (m/s)
—————————————————
Frequency (Hz or cycles per second)

47
Q

Approx speed of sound in Air (m/s)

A

20 x SQUARE ROOT OF Temperature (K)

48
Q

Mach Number (No unit)

A

Speed of object (m/s)
———————————
Speed of sound (m/s)

49
Q

Work done by expanding gas (J)

A

Pressure (Pa) x change in Volume (m^3)

50
Q

Electrons in Nth shell

A

2 x N^2