STEM REASONING AND EVIDENCE WORKBENCH
Calculate speed, centripetal acceleration, and inward net force from radius, period, and mass and audit all three claims.
Review output
Load the worked example to inspect realistic inputs, or enter anonymous classroom or laboratory evidence. Results remain in this browser tab until you copy or download them.
Transparent method
Tangential speed v equals circumference two pi r divided by period T. Centripetal acceleration magnitude ac equals v squared divided by r, equivalently four pi squared r divided by T squared. Required net radial force Fc equals mass m times ac and points toward the center. These are magnitudes; a vector description must also state the inward direction. Supported means all three learner values match the chained model within tolerance. Because force depends on the calculated acceleration, an early radius, period, or speed error can propagate. Inspect each intermediate column to locate it. Agreement supports arithmetic compatibility with uniform circular motion but does not identify which real interaction supplies the net force.
Confirm the question, approved source, units, notation, signs, response coding, model assumptions, and review threshold. Keep an unchanged copy of measurements or learner evidence.
Run the worked example, inspect every intermediate row, and compare the result with a hand calculation, diagram, representation, periodic table, or approved laboratory method.
Record the method, assumptions, uncertainty, units, classifications, and flagged rows. Verify the editable report independently before instruction, assessment, or laboratory use.
How to interpret the result
Use for uniform circular-motion evidence where radius and period are measured and learners must connect one revolution with inward acceleration and net force. It does not model changing speed, spiral or elliptical motion, banked turns, several force components, angular acceleration, drag, relativistic motion, uncertainty automatically, or an outward force in an inertial frame.
Radius one metre and period two seconds gives speed pi, acceleration pi squared, and a two-kilogram inward force of two pi squared. Radius one half and period one again gives speed pi but doubles acceleration because radius is smaller. Radius two and period four returns speed pi. The last force should be about 4.935 rather than four and is flagged.
Tangential speed v equals circumference two pi r divided by period T. Centripetal acceleration magnitude ac equals v squared divided by r, equivalently four pi squared r divided by T squared. Required net radial force Fc equals mass m times ac and points toward the center. These are magnitudes; a vector description must also state the inward direction.
Supported means all three learner values match the chained model within tolerance. Because force depends on the calculated acceleration, an early radius, period, or speed error can propagate. Inspect each intermediate column to locate it. Agreement supports arithmetic compatibility with uniform circular motion but does not identify which real interaction supplies the net force.
Do not use diameter as radius, omit two pi, divide by period instead of period squared in acceleration, point acceleration along the velocity, add a separate centripetal force to a force diagram, confuse mass and weight, round pi too early, or mix revolutions per minute with seconds. Draw tangent and radius arrows and sum real inward forces.
Learning boundary
This browser-local workbench applies only the disclosed rules. It cannot diagnose a learner, certify an experiment, establish a chemical structure, or replace teacher, laboratory, and safety judgment.
Review checklist
Practical questions
No. Processing occurs in the current browser tab. Avoid personal information and retain authoritative records only in the school-approved system.
No. It describes entered evidence under one disclosed rule. Compare several evidence sources and ask for reasoning before drawing a conclusion.
Treat it as an editable calculation aid. Show your own reasoning, cite required sources, and follow the course method and academic-integrity rules.
YOUR NIRMION
