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Stopping Time Of Machine Calculator

Work out stopping time of machine instantly with clear inputs, formula shown and shareable results.

About Stopping Time Of Machine Calculator

Deceleration time follows from angular momentum: inertia times angular velocity divided by braking torque. Total stopping time adds the control and brake engagement delay, during which the machine runs at full speed. It is total stopping time, not braking time, that feeds the safety distance calculation.

Formulas

Deceleration time

t = I x omega / brake torque, omega = 2 pi rpm / 60

Total stopping time

Total = deceleration time + response delay

Worked example

With the default values below, Stopping Time Of Machine Calculator returns Total stopping time of 6,333.2. Change any input above and every figure here is recalculated in your browser.

Inputs used

Braking torqueminimum 0.1 N·m
50 N·m
Moment of inertia referred to the brakeminimum 0.001 kg·m²
2 kg·m²
Operating speedminimum 1 rpm
1,500 rpm
Control and brake response timeminimum 0 ms
50 ms

Results

Total stopping time
6,333.2 ms
Deceleration time
6,283.2 ms
Angular velocity
157.08 rad/s
Revolutions during the stop
79.790

Step by step

  1. 1Values used
  2. 2Deceleration time
  3. 3Total stopping time
  4. 4Total stopping time= 6,333.2 ms
  5. 5Deceleration time= 6,283.2 ms
  6. 6Angular velocity= 157.08 rad/s
  7. 7Revolutions during the stop= 79.790

Assumptions and limits

  • The result is derived only from the 4 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 3 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.
  • Preliminary estimate only. Stopping performance must be measured with a stop time analyser and used to verify safety distances by a competent person.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Preliminary estimate only. Stopping performance must be measured with a stop time analyser and used to verify safety distances by a competent person.

Frequently Asked Questions

How is the Stopping Time Of Machine figure worked out?

t = I x omega / brake torque, omega = 2 pi rpm / 60. Deceleration time follows from angular momentum: inertia times angular velocity divided by braking torque.

Why must stopping time be re-measured periodically?

Brake linings wear and response times drift, so stopping performance degrades. Standards require periodic measurement because the safety distance depends on it directly.

What values do I need to enter?

This calculator takes 4 inputs: Braking torque, Moment of inertia referred to the brake, Operating speed, Control and brake response time. The pre-filled defaults are a realistic worked example — replace them with your own site or project figures.

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