Angle of Impact Calculator

Calculate the angle of impact for blood spatter analysis in forensic investigations

Calculate Angle of Impact

Shortest diameter of the blood spatter ellipse

cm

Longest diameter of the blood spatter ellipse

Impact Analysis Results

0.0°
Angle of Impact
0.000
Sine Value (W/L)

Example Calculations

Case Study 1: High Impact Angle

Spatter measurements: Width = 2.1 cm, Length = 2.3 cm

Calculation: α = arcsin(2.1/2.3) = arcsin(0.913) = 65.9°

Analysis: Nearly perpendicular impact, victim likely standing or sitting

Height at 33 cm distance: ~74 cm from ground

Case Study 2: Medium Impact Angle

Spatter measurements: Width = 1.4 cm, Length = 1.7 cm

Calculation: α = arcsin(1.4/1.7) = arcsin(0.824) = 55.4°

Analysis: Moderate angle, medium elongation

Height at 52 cm distance: ~75 cm from ground

Case Study 3: Low Impact Angle

Spatter measurements: Width = 1.9 cm, Length = 3.1 cm

Calculation: α = arcsin(1.9/3.1) = arcsin(0.613) = 37.8°

Analysis: Shallow angle, highly elongated spatter

Height at 98 cm distance: ~76 cm from ground

Forensic Analysis Steps

1

Measure Spatter

Measure width and length of blood droplet

2

Calculate Angle

Apply arcsin formula to find impact angle

3

Reconstruct Scene

Use angle and distance to find origin height

4

String Analysis

Combine multiple spatters to find convergence

Measurement Guidelines

Ignore tails and irregular edges in measurements

Measure the main elliptical body of the spatter

Use consistent units across all measurements

Width should never exceed length

Photograph spatters before measuring

Understanding Blood Spatter Analysis

What is Angle of Impact?

The angle of impact is the acute angle between the trajectory of a blood droplet and the surface it strikes. This angle directly affects the shape of the resulting blood spatter, making it a crucial parameter in forensic blood pattern analysis.

Forensic Applications

  • Reconstruct crime scene dynamics
  • Determine position of victim and assailant
  • Estimate height of blood source
  • Verify or contradict witness statements

Mathematical Foundation

α = arcsin(W/L)

  • α: Angle of impact (degrees)
  • W: Width of spatter (minor axis)
  • L: Length of spatter (major axis)
  • arcsin: Inverse sine function

Important: This formula assumes ideal conditions. Real-world factors like surface texture, blood viscosity, and air resistance can affect accuracy.

Blood Spatter Shape Guide

90°
Circular
Perpendicular impact
60°
Oval
High angle impact
30°
Elongated
Medium angle impact
10°
Streak
Low angle impact