Force Table Lab Report Calculator

Calculated Results

Results appear after calculation. Values use the selected units and precision.

Awaiting calculation

Total horizontal force—

Total vertical force—

Resultant force—

Required equilibrant—

Force error—

Angular error—

Vector closure error—

Estimated uncertainty—

Force Components

Force	Mass	Angle	Magnitude	Fx	Fy

Force Table Diagram

Trial Analysis

Trial	Experimental force	Experimental angle	Force error	Angle error	Status

Conclusion

Likely Experimental Errors

Report Preview

Lab Report Details

Experiment title

Student name

Student ID

Course and section

Instructor name

Experiment date

Lab partners

Objective

Apparatus

Calculation Settings

Gravitational acceleration

m/s²

Mass unit

Force unit

Positive angle direction

Zero-angle reference

Decimal places

Equilibrium tolerance

The closure force must not exceed this value.

Mass uncertainty

± g

Angle uncertainty

± °

Add hanger mass to each entered mass

Hanger mass

Download report text five seconds after calculation

Applied Forces

Enter two to six forces. Each mass produces tension using F = mg.

Experimental Equilibrant Trials

Use measured equilibrant values to compare theory and experiment.

Procedure and Discussion Notes

Procedure

Observations

Discussion notes

Additional error sources

Formula Used

Force from mass: F = mg

Horizontal component: Fx = F cos(θ)

Vertical component: Fy = F sin(θ)

Resultant magnitude: R = √[(ΣFx)² + (ΣFy)²]

Resultant direction: θR = atan2(ΣFy, ΣFx)

Equilibrant: Same magnitude as the resultant, but 180° opposite.

Percentage error: |experimental − theoretical| ÷ |theoretical| × 100

Sample uncertainty estimate: Combines mass and angle effects using root-sum-square propagation.

How to Use

Enter the report details and select suitable units.
Set gravity, uncertainties, and the equilibrium tolerance.
Add every applied force with its mass and angle.
Enter measured equilibrant trials when available.
Select calculate to resolve components and assess equilibrium.
Review the diagram, errors, statistics, and conclusion.
Copy, print, or download the generated laboratory report.

Example Data

Force	Added mass	Angle	Purpose
F1	150 g	20°	First applied force
F2	200 g	145°	Second applied force
F3	100 g	260°	Third applied force
Trial equilibrant	95 g	319°	Measured balancing force

Frequently Asked Questions

What does a force table demonstrate?

It demonstrates vector addition and equilibrium. Forces act through a common centre. Balanced components produce a near-zero resultant.

Why is the equilibrant opposite the resultant?

The equilibrant cancels the resultant vector. Its magnitude is equal. Its direction differs by exactly 180 degrees.

Should hanger mass be included?

Include it when the hanger contributes tension. Many laboratory hangers have known mass. Confirm your apparatus instructions before calculating.

How are clockwise angles handled?

Clockwise angles are converted internally. The selected zero reference also rotates directions. Final answers are normalised consistently.

What is vector closure error?

It is the magnitude of the remaining force. Perfect equilibrium gives zero closure. Real experiments usually retain a small value.

Why can percentage error become unavailable?

Percentage error divides by the theoretical value. A zero theoretical value prevents division. The calculator then reports an absolute difference.

What causes poor agreement?

Pulley friction changes the transmitted tension. Misread angles also affect components. An off-centre ring introduces additional imbalance.

How many trials should be recorded?

Three trials usually provide a useful comparison. More trials improve repeatability estimates. Follow the requirements of your laboratory course.

Can the report replace instructor analysis?

No automated report replaces careful interpretation. Review every assumption and result. Add observations that reflect your actual experiment.