Disclaimer: these calculators are as close to accurate as possible but they are not 100% perfect, use with caution.

Tip Speed Calculator copied from Bristol Bot Builders

Combat Robot Calculators

Wheel speed

Calculate drive speed from wheel size, motor RPM, and gear ratio.

Inputs

in
mm
RPM
: 1

Target checker

ft/s
ft/s

Speed results

Wheel RPM
3000
Speed
—
ft/s
Speed
—
m/s
Speed
—
mph
Speed
—
km/h

Target status


RPM for min
—
RPM
RPM for max
—
RPM

Tip speed & kinetic energy

Spinning weapon tip speed and rotational kinetic energy.

Battery & motor

S
kV

Weapon geometry

mm
g·mm²

Results

Pack voltage
—
V
Weapon RPM
—
Tip speed
—
m/s
Tip speed
—
mph
Tip speed
—
ft/s
Kinetic energy
—
J

Battery runtime

Runtime estimation, discharge safety, and pack planning.

Battery

mAh
V
%
C

Motor load

A

Match planning

min

Runtime

Usable capacity
—
mAh
Total draw
—
A
Power draw
—
W
Runtime
—
min
Runtime
—
sec
Usable energy
—
Wh

Discharge & packs

Max burst current
—
A
Packs needed
—

Motor power & torque

Characterise a brushless motor from kV and stall current.

Motor inputs

V
kV
A
A

Custom operating point

Nm

No-load speed

No-load RPM
—
No-load ω
—
rad/s

Torque & power

Kt
—
Nm/A
Stall torque
—
Nm
Max mech power
—
W
RPM @ max power
—
Max efficiency
—
%
RPM @ max eff.
—

Operating point

Current
—
A
Output RPM
—
Output power
—
W
Efficiency
—
%

Weight budget

Track component weights against your class limit.

kg
0 kg used 13.6 kg remaining
Subsystem / componentNameQtyUnit wt (g)Total (g)Total (kg)

Gear ratio optimizer

Back-calculate gear ratio from target speed, or verify a chosen ratio.

Motor & wheel

RPM
in
mm

Back-calculate from target speed

ft/s
m/s
Ratio (from ft/s)
—
: 1
Ratio (from m/s)
—
: 1

Back-calculate from wheel RPM

RPM
Required ratio
—
: 1

Verify a chosen ratio

: 1
Wheel RPM
—
ft/s
—
m/s
—
mph
—

Ratio sweep (1.0 – 5.0)

RatioWheel RPMft/sm/smph

Weapon spin-up time

Estimate time to reach full weapon speed from rest.

Motor inputs

V
kV
A
A
: 1

Moment of inertia

mm
mm
g
Calculated MoI
—
kg·m²

Spin-up results

Weapon RPM
—
ω (rad/s)
—
Kt
—
Nm/A
Torque at shaft
—
Nm
α (rad/s²)
—

Spin-up benchmarks

TargetTime (s)

ESC current headroom

Check motor current demand against ESC ratings — three channels plus system total.

Total system draw vs battery

A
A
A
mAh
C
Total draw
—
A
Battery burst
—
A

Spur gear centre distance

Calculate centre-to-centre distance from tooth counts, or find required tooth counts for a given centre distance. Works for both MOD (metric) and DP (imperial) gears.

📐 MOD (Metric)

① Centre distance from tooth counts

T
T
Centre distance
—
mm
Centre distance
—
in
Gear ratio
—
: 1
PCD gear 1
—
mm
PCD gear 2
—
mm
OD gear 1
—
mm
OD gear 2
—
mm

② Tooth counts from centre distance

mm
: 1
Gear 1 teeth
—
T
Gear 2 teeth
—
T
Actual C-C
—
mm
Actual ratio
—
: 1

📏 DP (Imperial)

① Centre distance from tooth counts

T
T
Centre distance
—
in
Centre distance
—
mm
Gear ratio
—
: 1
PCD gear 1
—
in
PCD gear 2
—
in
OD gear 1
—
in
OD gear 2
—
in

② Tooth counts from centre distance

in
: 1
Gear 1 teeth
—
T
Gear 2 teeth
—
T
Actual C-C
—
in
Actual ratio
—
: 1

🔄 MOD ↔ DP converter

MOD
⇄
DP

Brushless arm calculator

Design a brushless-driven arm, flipper, or lifter — motor through multi-stage gearbox to tip force and speed.

Motor inputs

rpm/V
A
S
V

Gearbox — up to 9 stages (leave unused stages as 1)

Arm geometry & travel

mm
in
°

Motor output

Voltage
—
V
Kt
—
Nm/A
Motor torque
—
Nm
Motor speed
—
RPM
Power
—
W
Total reduction
—
: 1

Output shaft (after gearbox)

Output torque
—
Nm
Output speed
—
RPM
Output speed
—
RPS
Output speed
—
°/s

Arm tip

Tip speed
—
m/s
Tip speed
—
mph
Force at tip
—
N
Force at tip
—
kg
Force at tip
—
lb
Time to travel
—
seconds

V-belt calculator

Calculate belt length from centre distance, or find centre distance from a standard belt length.

Belt section & pulleys

mm
in
mm
in

① Belt length from centre distance

mm
in
Belt length
—
mm
Belt length
—
in
Nearest std length
—
in (OD)

② Centre distance from belt length

mm
in
Centre distance
—
mm
Centre distance
—
in

Pulley geometry

Speed ratio
—
: 1
Belt section
4L
width mm
Driver wrap
—
°
Driven wrap
—
°

Standard belt lengths — 4L

Belt no.OD length (in)Length (mm)C-C (mm)

Chain length calculator

Calculate chain links needed for a given centre distance, or find centre distance from a known chain length.

Chain & sprockets

T
T

① Links → Centre distance

mm
in
Links needed
Rounded (even)
links
Exact length
—
mm
Exact length
—
in

② Known links → Centre distance

links
Centre distance
—
mm
Centre distance
—
in

Sprocket geometry

Driver PCD
—
mm
Driven PCD
—
mm
Driver PCD
—
in
Driven PCD
—
in
Speed ratio
—
: 1
Pitch difference
—
T

Wrap angles

Driver wrap
—
°
Driven wrap
—
°

Link count sweep (± 4 links from calculated)

LinksLength (mm)C-C (mm)C-C (in)