Physics Measurements & Motion Concepts

What defines a derived quantity in measurements?

Which prefix corresponds to a value of $10^{-9}$?

Which of the following is not considered a fundamental quantity?

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 speed in meters per second when converting 108 km/hr?

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?

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?

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.

Explore the essential concepts of measurements, units, and motion in physics. This quiz covers fundamental and derived quantities, unit prefixes, and the intricacies of two-dimensional and projectile motion. Test your understanding of these core principles in physics.