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Physics For Engineers2D

Work, Energy, and Power - Theory & Concepts - Power Work Rate

A comprehensive overview of Work, Energy, and Power, exploring energy transfer, conservation, and efficiency.

Open the complete lesson

Interactive engineering simulation

Mechanical Work & Power Vector Simulator

Move the block along the path and rotate the force vector. Visually decompose the force into its parallel and perpendicular components to prove that only forces along the displacement perform work.

θ = 30°

Applied Force magnitude (F)150 N

N

0–500

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Displacement (d)8.0 m

m

1.0–30.0

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Elapsed Time (t)12 s

s

1–60

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Force Angle from motion (θ)30 deg

deg

0–180

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Motion Scrubber (Timeline)0.45

0.00–1.00

Drag for exploration or enter an exact value. Press Enter to apply; Escape restores the current value.

Governing Equations

Work Equation

W = F \cdot d \cdot \cos(\theta)

Average Power

P = \frac{W}{t}

Total Work Transferred (W)

1,039.23 J

Avg Power Rate (P)

86.60 W

Parallel force component (F·cosθ)

129.90 N

Perpendicular force (F·sinθ)

75.00 N

Model scope and verification

Use the displayed units and idealizations, then verify the governing balance or compatibility equation before interpreting the result.

Measurement and Vectors - Theory & Concepts - Significant Figures Kinematics - Theory & Concepts - Kinematics Graph Newton's Laws of Motion - Theory & Concepts - Newtons Second Law Work, Energy, and Power - Theory & Concepts - Conservation Energy