GearMath

Our Methodology

How our calculators work and why you can trust the results.

Transparent Formulas

We explain how each calculation works

Real-World Data

Based on industry standards and market research

Conservative Estimates

We err on the side of caution

Every GearMath calculator is built on publicly available data, industry standards, and well-established formulas. We don't use proprietary algorithms or hidden factors — what you see is what you get.

Our estimates are designed to be conservative and realistic. We'd rather give you a slightly lower estimate that holds up than an optimistic number that disappoints.

Important Limitations

  • Results are estimates only, not guarantees
  • Local market conditions, timing, and specific product variations can significantly affect actual values
  • Always verify with actual retailers or service providers before making decisions

Calculator Details

Phone Trade-in Value

Phone depreciation follows a predictable curve that varies by brand tier:

  • Premium brands (Apple, Samsung Galaxy S/Z): ~70% value after year 1, declining ~15% per year
  • Mid-tier brands (Google Pixel, OnePlus): ~55% after year 1, declining ~18% per year
  • Budget brands: ~40% after year 1, declining ~20% per year

Condition adjustments range from +5% (Like New) to -25% (Poor). These curves are derived from analyzing trade-in offers from major retailers and resale platforms.

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Laptop Battery Health

Lithium-ion batteries degrade based on charge cycles and age:

  • Cycle life: Most laptop batteries are rated for 300-500 full cycles before reaching 80% capacity
  • Calendar aging: Batteries lose ~2-3% capacity per year even when unused
  • Temperature impact: Heat accelerates degradation significantly

We estimate remaining capacity using the formula: Current Capacity = Original × (1 - (cycles/rated_cycles) × 0.2) × age_factor

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USB-C Charger Match

USB-C Power Delivery compatibility is determined by wattage and protocol support:

  • Wattage matching: Charger must meet or exceed device requirements
  • Protocol support: PD 3.0, PPS, QC compatibility varies by device
  • Voltage/amperage: Must match supported profiles (5V/9V/15V/20V)

We cross-reference device power requirements with charger specifications to determine compatibility and charging speed.

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GPU/PSU Matcher

Power supply requirements are calculated from component TDP and efficiency:

  • GPU TDP: Sourced from manufacturer specifications
  • System overhead: CPU, RAM, storage, fans typically add 100-200W
  • Headroom: We recommend 20-30% overhead for efficiency and transient spikes
  • 12V rail: Modern GPUs draw primarily from the 12V rail; we verify adequate amperage

Formula: Recommended PSU = (GPU TDP + System Power) × 1.25

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Monitor PPI/Clarity

Pixels Per Inch (PPI) is calculated using the Pythagorean theorem:

  • Diagonal pixels: √(width² + height²)
  • PPI: Diagonal pixels ÷ screen diagonal in inches
  • Clarity rating: Based on typical viewing distances (24" at arm's length)

We rate sharpness as: Retina-class (>200 PPI), Sharp (150-200), Adequate (100-150), Noticeable pixels (<100).

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TV Size/Distance

Optimal viewing distance is based on resolution and field of view:

  • THX recommendation: 40° field of view for cinema experience
  • SMPTE standard: 30° field of view for comfortable viewing
  • Resolution factor: 4K allows closer viewing without visible pixels

General guidelines: Distance = Screen size × 1.2 (immersive) to × 1.6 (comfortable) for 4K. For 1080p, multiply by 1.5 to 2.5.

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Storage Duration

Storage lifespan depends on technology and usage patterns:

  • SSDs: Rated in TBW (Terabytes Written); consumer drives typically 150-600 TBW
  • HDDs: MTBF ratings of 1-2 million hours; practical life 3-5 years for consumer drives
  • Flash storage: Limited write cycles; we estimate based on daily write volume

We calculate remaining lifespan using: Years Left = (TBW Rating - Current Writes) ÷ (Daily Writes × 365)

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Internet Speed Requirements

Bandwidth requirements are calculated from simultaneous usage:

  • 4K streaming: 25 Mbps per stream (Netflix recommendation)
  • 1080p streaming: 5-10 Mbps per stream
  • Video calls: 3-5 Mbps per participant
  • Gaming: 10-25 Mbps (latency matters more than bandwidth)
  • General browsing: 1-5 Mbps per device

We sum all activities and add 20% overhead for background tasks and network efficiency.

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Laptop Battery Life

Real-world battery life is estimated from capacity, screen size, and usage profile:

  • Base calculation: Battery capacity (Wh) ÷ estimated power draw
  • Screen size factor: Larger screens draw more power (13" ~8W, 15" ~12W, 17" ~15W base)
  • Brightness impact: Each 10% brightness adds ~5-8% power draw
  • Usage profiles: Light (0.7x), Normal (1.0x), Heavy (1.4x), Gaming (2.0x) multipliers

Formula: Hours = Capacity ÷ (Base Draw × Screen Factor × Brightness Factor × Usage Multiplier)

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RAM Requirement

RAM recommendations are calculated by summing typical memory usage per application category:

  • OS baseline: Windows ~4GB, macOS ~3GB idle
  • Browser tabs: ~150-300MB per tab (varies by content)
  • Creative apps: Photoshop 4-8GB, Video editing 8-16GB, 3D rendering 16-32GB
  • Development: IDEs 2-4GB, Docker containers 2-8GB, VMs 4-16GB each
  • Gaming: Modern games 8-16GB, plus OS overhead

We add 25% headroom and round up to the nearest standard RAM configuration (8/16/32/64GB).

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Data Transfer Time

Transfer time is calculated from theoretical speeds adjusted for real-world overhead:

  • USB 2.0: 480 Mbps theoretical, ~35 MB/s practical
  • USB 3.0: 5 Gbps theoretical, ~400 MB/s practical
  • USB 3.2 Gen 2: 10 Gbps theoretical, ~800 MB/s practical
  • Thunderbolt 3/4: 40 Gbps theoretical, ~2,800 MB/s practical
  • Network: Advertised speed × 0.85-0.90 efficiency factor

Formula: Time = File Size ÷ (Theoretical Speed × Efficiency Factor)

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Cloud Storage Cost

Cloud storage costs are compared using current pricing tiers from major providers:

  • iCloud: 50GB/$0.99, 200GB/$2.99, 2TB/$10.99/month
  • Google One: 100GB/$1.99, 200GB/$2.99, 2TB/$9.99/month
  • OneDrive: 100GB/$1.99, Microsoft 365 includes 1TB at $6.99/month
  • Dropbox: Plus 2TB/$11.99, Professional 3TB/$19.99/month

We calculate annual costs and cost-per-GB to help identify the best value for your storage needs. Prices may vary by region.

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Streaming Data Usage

Data consumption is calculated from bitrates used by major streaming services:

  • Video (Netflix/YouTube): SD ~1GB/hr, HD ~3GB/hr, 4K ~7GB/hr
  • Music (Spotify/Apple Music): Normal ~70MB/hr, High ~150MB/hr, Lossless ~600MB/hr
  • Video calls: Audio only ~40MB/hr, Video ~270MB/hr, HD Video ~1.5GB/hr
  • Gaming: 40-150MB/hr depending on game type (downloads separate)

Formula: Monthly Usage = Σ(Hours per activity × Data rate per hour)

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Projector Throw Distance

Throw distance is calculated using throw ratio and screen dimensions:

  • Throw ratio: Distance to screen ÷ screen width
  • UST projectors: 0.2-0.4 throw ratio
  • Short throw: 0.4-0.8 throw ratio
  • Standard: 1.2-2.0 throw ratio
  • Long throw: 2.0+ throw ratio

Formula: Distance = Screen Width × Throw Ratio or Screen Width = Distance ÷ Throw Ratio

Screen width is derived from diagonal using aspect ratio (16:9, 16:10, etc.).

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Headphone Amp Matcher

Amplification requirements are calculated from headphone impedance and sensitivity:

  • Power required: Based on target SPL (typically 110dB peak) and sensitivity
  • Voltage required: V = √(P × Z) where P is power in watts, Z is impedance
  • Damping factor: Headphone impedance ÷ source output impedance (8:1 minimum recommended)
  • Source capabilities: Phones ~1V, laptops ~1-2V, dedicated DACs/amps ~2-7V

Formula: Power (mW) = (10^((Target dB - Sensitivity) / 10))

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PC Power Consumption

System power is calculated by summing component TDPs with efficiency factors:

  • CPU TDP: From manufacturer specs (65W-250W typical)
  • GPU TDP: From manufacturer specs (75W-450W typical)
  • RAM: ~3-5W per stick
  • Storage: SSD ~2-5W, HDD ~6-10W
  • Motherboard/fans: ~30-50W overhead

Formula: Recommended PSU = Total TDP × 1.25 (for 80% load efficiency)

We recommend 80+ rated PSUs and account for transient power spikes on modern GPUs.

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Charging Time

Charging time accounts for the non-linear charging curve of lithium batteries:

  • 0-50%: Fast charging at maximum supported wattage
  • 50-80%: Reduced speed (~70% of max) to manage heat
  • 80-100%: Trickle charging (~30% of max) to protect battery longevity
  • Charger matching: Device charges at the lower of charger output or device max input

Formula: Time = Σ(Capacity per phase ÷ Effective charging rate per phase)

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True Wireless Range

Bluetooth range is estimated from version, environment, and device factors:

  • Bluetooth 4.x: ~30-35 feet typical, 60 feet max
  • Bluetooth 5.x: ~40-60 feet typical, 240 feet max (4x improvement)
  • Environment factors: Walls reduce range 25-75%, interference 20-40%
  • Codec impact: High-bitrate codecs (LDAC, aptX HD) reduce effective range 10-20%
  • Device quality: Premium earbuds have better antennas (+10-20% range)

Formula: Range = Base Range × Environment Factor × Codec Factor × Quality Factor

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Display Scaling

Display scaling affects effective resolution and perceived sharpness:

  • Native PPI: √(width² + height²) ÷ diagonal inches
  • Effective resolution: Native resolution ÷ scaling factor
  • Effective PPI: Native PPI ÷ scaling factor (determines UI density)
  • Integer scaling: 100%, 200%, 300% provide pixel-perfect rendering
  • Non-integer scaling: 125%, 150%, 175% may cause slight blur in some apps

We recommend: <100 PPI = 100%, 100-150 PPI = 125%, 150-200 PPI = 150-200%, >200 PPI = 200%+

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Device Depreciation

Device value depreciation follows category-specific curves:

  • iPhones: ~30% year 1, then ~15%/year (retain value longest)
  • Android flagships: ~40% year 1, then ~20%/year
  • MacBooks: ~20-25% year 1, then ~12%/year
  • Windows laptops: ~35-45% year 1, then ~18-22%/year
  • Condition adjustment: Mint (100%), Excellent (92%), Good (82%), Fair (65%), Poor (45%)

Formula: Value = Original Price × Age Factor × Condition Multiplier

Age factor uses exponential decay with device-specific rates derived from resale market analysis.

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Data Sources

Our calculations are informed by:

  • Manufacturer specifications and datasheets
  • Industry standards (THX, SMPTE, USB-IF, etc.)
  • Market research from major retailers and resale platforms
  • Technical documentation and whitepapers

Keeping Data Current

We periodically review and update our formulas and data to reflect changes in technology and market conditions. If you notice outdated information or have suggestions for improvement, please let us know.

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