Measurement & regression
Calculators in the laboratory-book style with every step shown, and simulators of lab experiments to practise the measuring on.
Calculators
Evaluate measurements: errors and regression with the laboratory-book formulas.
Probable error
Enter the measured values of one quantity — you get the mean, the probable error and every step.
Example: 10 caliper readings of a wire diameter → d = (2.013 ± 0.002) mm with all steps shown. Open the tool →Several quantities
Several dimensions of one part at once — each with its mean and probable error.
Example: A block: length a, width b and height c, each measured 5× → three results with errors. Open the tool →Linear regression
Fit a straight line through measured points — with the slope, its error and a graph.
Example: Spring extension for 6 weights → stiffness from the slope, including its error. Open the tool →Laboratory experiments
Simulated experiments with the apparatus, reading tables and graphs. You work out the result in the calculators.
Static torsion
Hang weights on a disc, read the twist angle and build the table — the whole measurement in a simulator.
Example: Steel wire, 10 load steps of 20 g → table of angles and a graph; you finish G in Linear regression. Open the tool → NEWTorsion pendulum
Release a body on a wire, time 30 oscillations and build the table of 15T differences.
Example: A sphere on a steel wire: 30 oscillations, five 15T differences → G from the period, using Probable error. Open the tool → NEWPhysical pendulum
Time the plate alone and with a roller and measure its dimensions — then work out the moment of inertia in three ways.
Example: A 600 × 104 mm steel plate: 25T and 25T′, ten readings of each dimension → J₀ three ways. Open the tool →All tools are free, need no sign-up and run right in your browser.