Calculator Inputs
Use one stacked page layout. The form below switches between force-based methods.
Example Data Table
| Scenario | Mass (kg) | Force / Scale Reading (N) | Gravity (m/s²) | Acceleration (m/s²) | Interpretation |
|---|---|---|---|---|---|
| Standing still | 70 | 686.7 | 9.81 | 0.0000 | No acceleration. Weight feels normal. |
| Accelerating upward | 70 | 756.7 | 9.81 | 1.0000 | Support force exceeds true weight. |
| Accelerating downward | 70 | 616.7 | 9.81 | -1.0000 | Support force is below true weight. |
| Gentle upward start | 85 | 918.85 | 9.81 | 1.0000 | Passengers feel slightly heavier. |
| Near free fall check | 75 | 0 | 9.81 | -9.8100 | Weightlessness case. |
Formula Used
Net Force = m × a
a = (F / m) − g
Apparent Weight = m × (g + a)
v = u + a × t
s = u × t + 0.5 × a × t²
x = x₀ + s
Here, m is mass, F is the entered support force or tension, g is gravity, a is elevator acceleration, u is initial velocity, t is time, s is displacement, and x₀ is initial position.
How to Use This Calculator
- Select the calculation method: apparent weight or cable tension.
- Enter mass and choose the mass unit.
- Enter the measured support force, scale reading, or cable tension.
- Set gravity if you need a custom location or experiment value.
- Optional: add time, initial velocity, and initial position for motion outputs.
- Press the calculate button to view acceleration, forces, velocity, displacement, position, and the graph.
- Use the CSV button for spreadsheet-friendly output.
- Use the PDF button for a printable report copy.
FAQs
1) What does this calculator actually compute?
It calculates elevator acceleration from mass and support force. It also estimates apparent weight, net force, final velocity, displacement, final position, and load factor for a chosen time interval.
2) Why can apparent weight change inside an elevator?
Apparent weight depends on the support force on your body. During upward acceleration, the floor pushes harder, so you feel heavier. During downward acceleration, the support force drops, so you feel lighter.
3) What is the difference between true weight and apparent weight?
True weight is m × g. Apparent weight is the support force you feel or what a scale reads. They match only when acceleration is zero.
4) What does a negative acceleration mean here?
This page uses upward as the positive direction. A negative value means the elevator accelerates downward, or it slows down while traveling upward.
5) Can I use cable tension instead of scale reading?
Yes. Switch the method to cable tension. The same force-balance idea applies, as long as the entered force is the upward support force for the system you are modeling.
6) What happens when the support force becomes zero?
A zero support force means apparent weight is zero. That is the weightless condition and corresponds to free fall in the simple model used by the calculator.
7) Does this calculator assume constant acceleration?
Yes. The motion equations for velocity and position assume constant acceleration over the entered time interval. Real elevators may change acceleration during starting and stopping phases.
8) Which unit system should I choose?
Choose the units that match your available data. The calculator converts inputs internally, then shows consistent SI outputs plus values converted back to your selected display units.