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Fundamental of physics
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Chapter 1 Measurements
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1.2 Measuring Things Physical quantities these quantities are
Base quantities Derived quantities these quantities are length ,mass ,time ,temperature pressure, electric current Are defined in terms of the base quantities, e.g. Area ,Speed ,Density ,Volume Speed : is the ratio of a length to a time.
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1.3 The International System of Unit
Unit of quantity: Is a unique name we assign to measure of that quantity. 1.3 The International System of Unit
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1.3 The International System of Unit
To express a very large and very small quantity we use : Scientific Notation Exponent of ten Power of ten m = 6.53 E 8 m 7.29 E -6 s s =
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Exp. Prefixes of Units 10-9 10-6 10-3 10-2 10-1 101 102 103 106 109
When we dealing with very large or very small measurements we use the prefixes. 10-9 10-6 10-3 10-2 10-1 101 102 103 106 109 nano n micro μ milli m centi c desi d deka da hecto h kilo k mega M giga G Exp. 2.67x109 watt = 3.21x10-6 s =
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1-Convert 2min to seconds
1-4 Changing Units We often need to change the units in the physical quantity by a method called chain link conversion In this method we multiply the original measurement by a conversion factor . is a ratio of units that is equal to unity. Conversion factor: Example 1-Convert 2min to seconds 2-Convert 4kg to grams 60s 1min 2min x = 120 s
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1-4 Changing Units
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The meter: is the length of the path traveled
The unit of length is The meter: is the length of the path traveled by light in a vacuum during a time interval of 1/ of a second. 1 centimeter = millimeters 1 meter = centimeters 1 Kilometer = meters
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Second: is the time taken by 9 192 631 770
The unit of time is Second: is the time taken by oscillations of the light (of specified wavelength) emitted by a cesium-133 atom.
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Kilograms: is defined in terms of a platinum-iridium
1-7 Mass The unit of mass is Kilograms: is defined in terms of a platinum-iridium cylinder 3.9 cm in height and in diameter (kept at the international Bureau of Weights and Measures near Paris). A Second mass standard is atomic mass units (u). The relation between the two units is: 1 u = x kg
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m ρ= ----- V 1-7 Mass Density 1 kilogram = 1000 grams
For things that are very heavy, we need to use the tonne 1 Tonne = 1000 kilogram Density The density ρ of a material is the mass per unit volume. m ρ= ----- V
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Motion along a straight line
Chapter 2 Motion along a straight line
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2-2 Motion Mechanics dynamics Kinematics statics One dimensional
Newton laws Motion it self One dimensional motion One dimensional motion Two dimensional motion
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2-3 position and displacement
To locate an object means to find it’s position relative to reference point origin ( or zero point ) of an axis such as the X axis . Example If the particle move from the position X= 3m to the position X= -3m displacement A change from initial position to final position Unit of X is m Δ X is vector quantity ∆x=x2-x1
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2-3 Position and displacement
x1=1m x2=5m ∆x=x2-x1= Distance d Displacement ∆x The number of meters The change from x1 to x2 Scalar quantity vector quantity
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2-3 Position and displacement
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2-4 Average velocity and average speed
The ratio of displacement that occurs during a particular time interval to that interval x= t = 0 x= t=3s x= t=4s
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2-4 Average velocity and average speed
The ratio of displacement that occurs during a particular time interval to that interval Unit of vavg is m/s vavg is a vector quantity
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2-4 Average velocity and average speed Savg= ---------------
The ratio of distance that occurs during a particular time interval to that interval Savg= total distance ∆t Unit of savg is m/s vavg is a scalar quantity
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2-5 Instantaneous velocity and speed v = lim ------- = -------
Instantaneous velocity v v = lim = ∆x ∆t ∆t dx dt Velocity at any instant is the derivative of x with respect to t . Unit of v is m/s v is a vector quantity v is the slope of position (x) –time (t) curve at the point representing that instant.
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2-5 Instantaneous velocity and speed
Instantaneous speed s s is the magnitude of velocity Checkpoint 2
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aavg=--------=-----
2-6 Acceleration when a particale,s velocity change , the particle is said to undergo acceleration. Average acceleration aavg aavg= =----- v1- v2 t1- t2 ∆v ∆t aavg is the at which its velocity is changing . Unit of aavg is m/s2 aavg is a vector quantity.
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a is the second derivative of x with respect to time.
2-6 Acceleration when a particale,s velocity change , the particle is said to undergo acceleration. Instantaneous acceleration a dv ------ dx dt = d2x dt2 d a= = ----- dt dt a is the second derivative of x with respect to time. Unit of a is m/s2 a is a vector quantity.
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2-6 Acceleration +y Direction of a -y -x +x
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2-6 Acceleration sample problem (2-4) page20,21
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2-7 Constant acceleration
A constant Acceleration: is the particle move’s with constant velocity in equal time If the acceleration is constant, the average acceleration and instantaneous acceleration are equal.
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2-7 Constant acceleration
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2-7 Constant acceleration
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2-7 Constant acceleration
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2-8 Free fall acceleration
All objects accelerate down ward both at the same rate g= 9.8 m/s2. Their speeds increase at same rate .
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2-8 Free fall acceleration
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2-8 Free fall acceleration
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Quantity Name Abbreviation
Giga Mega kilo 1 deci centi milli micro nano G M k d c m m n Units and Prefix Conversions: SI (International System) of units , Standard units for measurements Quantity Name Abbreviation Mass kilogram kg Length meter m Time second s Temperature Kelvin K Amount of substance mole mol
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