Podcast
Questions and Answers
What defines a derived quantity in measurements?
What defines a derived quantity in measurements?
- A quantity that cannot be measured directly.
- A quantity that represents a geometric dimension.
- A quantity that exists independently without measurement.
- A quantity formed by combining fundamental quantities. (correct)
Which prefix corresponds to a value of $10^{-9}$?
Which prefix corresponds to a value of $10^{-9}$?
- Micro
- Kilo
- Nano (correct)
- Milli
Which of the following is not considered a fundamental quantity?
Which of the following is not considered a fundamental quantity?
- Length
- Electric Current (correct)
- Mass
- Time
In which coordinate system are points defined by radius and angle?
In which coordinate system are points defined by radius and angle?
What is the conversion of 108 km/hr to meters per second?
What is the conversion of 108 km/hr to meters per second?
What is the speed in meters per second when converting 108 km/hr?
What is the speed in meters per second when converting 108 km/hr?
Which of the following conversions is correct?
Which of the following conversions is correct?
What is the total volume in cubic feet of a room measuring 10 yards by 8 yards by 6 yards?
What is the total volume in cubic feet of a room measuring 10 yards by 8 yards by 6 yards?
If a speed of 216 km/hr is converted to meters per second, which value is correct?
If a speed of 216 km/hr is converted to meters per second, which value is correct?
Which small number conversion correctly corresponds to its metric prefix?
Which small number conversion correctly corresponds to its metric prefix?
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Study Notes
Measurements & Units
- Any event or substance can be assigned a number, making it a quantity.
- To quantify an event, use a measurement, which is a scientific approach.
- A unit is a single word or phrase that defines a quantity.
- Fundamental quantities are those that do not require combination. Examples are length (m), mass (kg), and time (s).
- Derived quantities are created by combining fundamental quantities. Examples are volume (m³), speed (m/s), and density (kg/m³).
- Prefixes of Units are used to represent large and small values. For example, kilo (k) represents 10³, milli (m) represents 10⁻³.
Two-Dimensional Motion/Projectile Motion/Circular Motion
- Space and time are directly related in two-dimensional motion problems.
- Different spatial coordinates are used to describe motion in space:
- Cartesian coordinates (rectangular)
- Spherical coordinates
- Cylindrical coordinates
Unit Conversion
- 108 km/hr is equal to 30 m/s
- 216 km/hr is equal to 60 m/s
- Common conversions include:
- 1 inch = 2.54 cm
- 1 yard = 0.9144 m
- 1 m = 3.281 ft
- 1 yd = 3 feet
Volume Calculation Example
- The volume of a room with dimensions of 10 yards by 8 yards by 6 yards is calculated by first converting the dimensions to feet:
- 10 yards = 30 feet
- 8 yards = 24 feet
- 6 yards = 18 feet
- The volume of the room is 12960 cubic feet, calculated by multiplying the length, width, and height: 30 feet * 24 feet * 18 feet = 12960 cubic feet.
Assignment
- Page 16, questions 15 and 17 are due.
- 4.2.3 will be covered in the next class.
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