Nocti Formula

Area of a Circle

Area = πr², where r is the radius.

Circumference of a Circle

Circumference = 2πr, where r is the radius.

Area of a Triangle

Area = 1/2 × Base × Height, where Base is the length of the base and Height is the perpendicular height.

Volume of a Prism

Volume = Base Area × Height, where Base Area is the area of the base and Height is the distance between the two bases.

Ohm’s Law

V = IR, relating voltage (V), current (I), and resistance (R).

Torque

Torque (τ) = F × r, where F is force and r is the distance from the pivot.

Average Speed

Average Speed = 2 × (Speed1 × Speed2) / (Speed1 + Speed2), used for two different speeds.

Sum Formula (Excel)

=SUM(B3:B10), adds all values in the range B3 to B10.

Average Formula (Excel)

=AVERAGE(B3:B10), averages the values in the range B3 to B10.

Median Formula (Excel)

=MEDIAN(B3:B10), finds the median of the values in the range B3 to B10.

Min Formula (Excel)

=MIN(B3:B10), finds the minimum value in the range B3 to B10.

Surface Area of a Prism

Surface Area = 2 × Base Area + Perimeter of Base × Height, where Base Area is the area of the base and Height is the distance between the two bases.

Area of a Circle

Area = πr², where r is the radius.

Circumference of a Circle

Circumference = 2πr, where r is the radius.

Area of a Triangle

Area = 1/2 × Base × Height, where Base is the length of the base and Height is the perpendicular height.

Volume of a Prism

Volume = Base Area × Height, where Base Area is the area of the base.

Ohm’s Law

V = IR, relating voltage (V), current (I), and resistance (R).

Torque

Torque (τ) = F × r, where F is force and r is the distance from the pivot.

Average Speed

Average Speed = 2 × (Speed1 × Speed2) / (Speed1 + Speed2), used for travel at different speeds.

Sum Formula in Excel

=SUM(B3:B10) adds all values in the range B3 to B10.

Average Formula in Excel

=AVERAGE(B3:B10) averages the values in the range B3 to B10.

Median Formula in Excel

=MEDIAN(B3:B10) finds the median of values in the range B3 to B10.

Surface Area of a Prism

Surface Area = 2 × Base Area + Perimeter of Base × Height.

Mechanical Engineer

Designs, analyzes, and improves mechanical systems like tools and machines.

Civil Engineer

Designs, builds, and maintains infrastructure like bridges and roads.

Environmental Engineer

Develops solutions to environmental problems like pollution control.

Electrical Engineer

Designs and develops electrical systems including circuits and power systems.

Chemical Engineer

Focuses on chemical processes, creating new materials and manufacturing chemicals.

Manufacturing Engineer

Optimizes manufacturing processes from design to production.

Computer Science

Involves programming, systems analysis, and artificial intelligence.

Information Technology (IT)

Covers network administration, cybersecurity, and systems management.

Biotechnology

Utilizes biological processes for industrial purposes in healthcare and agriculture.

Robotics

Combines engineering with computer science to build robots and automated systems.

Archimedes Screw

Invention for lifting water for irrigation, attributed to Archimedes.

Gutenberg Press

Revolutionized printing in the 15th century, aiding in the spread of knowledge.

Moving Assembly Line

Invented by Henry Ford, it revolutionized manufacturing and product affordability.

Definition of Engineering

Application of scientific and mathematical principles to address problems and enhance technologies.

External Constraints in Engineering Design

Include limited resources, modifications, time, and cost considerations.

Predictive Analysis in Design

Uses models and simulations to project system performance under various conditions.

Safety Tips for Table Saw

Wear PPE, use a fence, and keep hands clear of the cutting area.

Safety Tips for Lathe

Wear appropriate PPE and ensure tools are securely mounted.