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Power Calculator (P = W / t)

Computes mechanical and energetic power P = W / t with conversions to Watts, kW, and Horsepower.

Alternating Current Analysis

AC Power Calculator

Real (W), Apparent (VA), and Reactive (VAR) power across 1-Phase and 3-Phase networks.

Real Power (P)
17.67 kW
17,667 Watts (Useful Work)
Apparent Power (S)
20.78 kVA
20,785 VA (Total Vector)
Reactive Power (Q)
10.95 kVAR
10,949 VAR (Magnetizing)

Power Triangle & Phase Angle

θ = 31.8°

In an AC system, real power $P$ does the productive mechanical and thermal work, while reactive power $Q$ energizes motor electromagnetic windings without performing net work.

Phase Current:
25 A
Power Factor:
85%
Phase Multiplier:
√3 (1.732)
Harmonic Vector:
S² = P² + Q²

What is Power in Physics?

Power is the rate at which work is performed or energy is converted per unit of time.

Formula & Step-by-Step Calculation

P = W / t = F × v

1 Watt (W) = 1 Joule per second.

Worked Step-by-Step Examples

Example 1

15,000 Joules of work done in 5 seconds

Solution: 3,000 Watts (3 kW or 4.02 hp)
• 15,000 / 5 = 3,000 W

Common Real-World & Academic Use Cases

  • ✓ Engine horsepower ratings
  • ✓ Electric motor output sizing
  • ✓ Athlete power output benchmarks

How to Use the Power Calculator (P = W / t)

1

Enter Work & Time

Input Joules and seconds.

2

Read Power

Inspect Watts, kW, and horsepower.

Frequently Asked Questions

Q: How many Watts in one horsepower?

1 mechanical horsepower (hp) ≈ 745.7 Watts.

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