{"product_id":"cirmot-circular-rotational-motion-ti-84-plus-ce-solver","title":"CIRMOT: Circular \u0026 Rotational Motion TI-84 Plus CE Solver","description":"\u003c!--\n  ============================================================\n  CIRMOT — TI-84 Plus CE Circular \u0026 Rotational Motion Solver\n  ============================================================\n  PAGE TITLE:   CIRMOT: Circular \u0026 Rotational Motion Solver — TI-84 Plus CE\n  URL SLUG:     \/products\/cirmot-circular-rotational-motion-ti84\n  META DESCR:   CIRMOT solves centripetal force, period, frequency, angular\n                velocity, torque, rotational kinematics, moment of inertia,\n                angular momentum, and rolling motion on the TI-84 Plus CE.\n                Built for AP Physics 1 and college physics.\n  ============================================================\n--\u003e\n\u003cp\u003e\u003cstrong\u003eCIRMOT\u003c\/strong\u003e is a dedicated circular and rotational motion solver for the TI-84 Plus CE. It covers every formula students need for circular motion and rotation in one organized, menu-driven program — from centripetal force and banked road problems to torque, moment of inertia, and rolling kinetic energy.\u003c\/p\u003e\n\u003cp\u003eBuilt for \u003cstrong\u003eAP Physics 1\u003c\/strong\u003e and \u003cstrong\u003ealgebra-based college physics\u003c\/strong\u003e. Works on the TI-84 Plus CE and TI-84 Plus CE Python only.\u003c\/p\u003e\n\u003chr\u003e\n\u003ch2\u003eCircular Motion\u003c\/h2\u003e\n\u003cp\u003eThe circular motion section handles every variable combination for the core circular motion formulas. Choose your formula, choose your unknown, enter what you know, and get the answer instantly.\u003c\/p\u003e\n\u003ch3\u003eCentripetal Force — F\u003csub\u003ec\u003c\/sub\u003e = mv²\/r\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eSolve for F\u003csub\u003ec\u003c\/sub\u003e, m, v, or r\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003ePeriod T\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eT = 2πr\/v\u003c\/li\u003e\n\u003cli\u003eT = 1\/f\u003c\/li\u003e\n\u003cli\u003eT = 2π\/ω\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eFrequency f\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003ef = 1\/T\u003c\/li\u003e\n\u003cli\u003ef = v\/(2πr)\u003c\/li\u003e\n\u003cli\u003ef = ω\/(2π)\u003c\/li\u003e\n\u003cli\u003ef and r from centripetal acceleration a\u003csub\u003ec\u003c\/sub\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eAngular Velocity ω\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eω = 2π\/T\u003c\/li\u003e\n\u003cli\u003eω = 2πf\u003c\/li\u003e\n\u003cli\u003eω = v\/r\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eMore — Advanced Circular Motion\u003c\/h3\u003e\n\u003cp\u003e\u003cstrong\u003eVertical Circles\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eTension at the top: T\u003csub\u003etop\u003c\/sub\u003e = mv²\/r − mg (with slack warning if T \u0026lt; 0)\u003c\/li\u003e\n\u003cli\u003eTension at the bottom: T\u003csub\u003ebot\u003c\/sub\u003e = mv²\/r + mg\u003c\/li\u003e\n\u003cli\u003eMinimum speed at the top: v\u003csub\u003emin\u003c\/sub\u003e = √(gr)\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eLoop-the-Loop\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eMinimum speed at the top: v\u003csub\u003etop\u003c\/sub\u003e = √(gr)\u003c\/li\u003e\n\u003cli\u003eMinimum speed at the bottom: v\u003csub\u003ebot\u003c\/sub\u003e = √(5gr)\u003c\/li\u003e\n\u003cli\u003eEnergy method: given v\u003csub\u003ebottom\u003c\/sub\u003e, find v\u003csub\u003etop\u003c\/sub\u003e (with loop-completion warning)\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eBanked Road\u003c\/strong\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eIdeal speed (no friction): v = √(rg·tanθ)\u003c\/li\u003e\n\u003cli\u003eMaximum speed with friction\u003c\/li\u003e\n\u003cli\u003eMinimum speed with friction\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch2\u003eRotation\u003c\/h2\u003e\n\u003cp\u003eThe rotation section covers every standard rotational mechanics topic, organized into six submenus. All three rotational kinematics equations are fully solved for any variable, just like linear kinematics.\u003c\/p\u003e\n\u003ch3\u003eTorque\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eτ = rF sinθ\u003c\/li\u003e\n\u003cli\u003eτ = rF\u003csub\u003en\u003c\/sub\u003e (perpendicular component)\u003c\/li\u003e\n\u003cli\u003eτ\u003csub\u003enet\u003c\/sub\u003e = Iα — solve for τ\u003csub\u003enet\u003c\/sub\u003e, I, or α\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eRotational Kinematics\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eω = ω₀ + αt — solve for any variable\u003c\/li\u003e\n\u003cli\u003eθ = θ₀ + ω₀t + ½αt² — solve for any variable\u003c\/li\u003e\n\u003cli\u003eω² = ω₀² + 2α(θ − θ₀) — solve for any variable\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eMoment of Inertia\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eSolid disk\/cylinder: I = ½MR²\u003c\/li\u003e\n\u003cli\u003eSolid sphere: I = ⅖MR²\u003c\/li\u003e\n\u003cli\u003eHollow sphere (thin shell): I = ⅔MR²\u003c\/li\u003e\n\u003cli\u003eRod about center: I = 1\/12 ML²\u003c\/li\u003e\n\u003cli\u003eRod about end: I = ⅓ML²\u003c\/li\u003e\n\u003cli\u003ePoint mass: I = mr²\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eAngular Momentum\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eL = Iω — solve for L, I, or ω\u003c\/li\u003e\n\u003cli\u003eConservation: I₁ω₁ = I₂ω₂, find final ω\u003c\/li\u003e\n\u003cli\u003eRotational collision: I₁ω₁ + I₂ω₂ = I\u003csub\u003ef\u003c\/sub\u003eω\u003csub\u003ef\u003c\/sub\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eRolling Motion\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003ev = rω — solve for v, r, or ω\u003c\/li\u003e\n\u003cli\u003ea = rα — solve for a, r, or α\u003c\/li\u003e\n\u003cli\u003eRolling KE = ½mv² + ½Iω² (enter I from the Moment of Inertia solver)\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003ch3\u003eRotational Energy\u003c\/h3\u003e\n\u003cul\u003e\n\u003cli\u003eKE\u003csub\u003erot\u003c\/sub\u003e = ½Iω² — solve for KE\u003csub\u003erot\u003c\/sub\u003e, I, or ω\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch2\u003eConcept Help\u003c\/h2\u003e\n\u003cp\u003eBuilt-in concept help screens cover the key ideas behind each section — useful for a quick review before diving into calculations.\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cstrong\u003eCircular Motion help:\u003c\/strong\u003e centripetal force direction, period, frequency, angular velocity, v = rω\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eRotation help:\u003c\/strong\u003e torque, τ = Iα, rotational kinematics, angular momentum, rolling motion, rotational KE\u003c\/li\u003e\n\u003cli\u003e\n\u003cstrong\u003eRotation concepts:\u003c\/strong\u003e full linear ↔ rotational analogies (x→θ, v→ω, a→α, m→I, F→τ), moment of inertia explained, ice skater angular momentum example\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr\u003e\n\u003ch2\u003eWhat's Included\u003c\/h2\u003e\n\u003cul\u003e\n\u003cli\u003eCIRMOT program file (.8xp) — instant digital download\u003c\/li\u003e\n\u003cli\u003ePDF User Guide with screenshots and formula reference\u003c\/li\u003e\n\u003cli\u003eFree lifetime updates\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cstrong\u003eAlso included\u003c\/strong\u003e in the \u003ca href=\"https:\/\/mcstutoring.com\/products\/ap-physics-1-mechanics-solver-bundle\"\u003eAP Physics 1 Mechanics Solver Bundle\u003c\/a\u003e. If you already own the bundle, you do not need to purchase CIRMOT separately.\u003c\/p\u003e\n\u003chr\u003e\n\u003ch2\u003eCompatible Calculators\u003c\/h2\u003e\n\u003cp\u003eTI-84 Plus CE, TI-84 Plus CE Python and TI-84 Plus CE-T only. Not compatible with TI-84 Plus, TI-84 Plus Silver Edition, or TI-83 series.\u003c\/p\u003e\n\u003chr\u003e\n\u003ch2\u003eHow to Install\u003c\/h2\u003e\n\u003cp\u003eDownload the .8xp file, transfer it to your calculator using TI Connect CE, and run it from the PRGM menu. Full setup instructions are included in your PDF User Guide and available at our \u003ca href=\"https:\/\/mcstutoring.com\/blogs\/general\/how-to-install-ti-84-plus-ce-calculator-programs-2026\"\u003eSetup Guide\u003c\/a\u003e.\u003c\/p\u003e","brand":"mcstutoring.com","offers":[{"title":"Default Title","offer_id":52181414740199,"sku":null,"price":10.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0697\/4164\/1959\/files\/Capture119-1781029314893.png?v=1781029784","url":"https:\/\/mcstutoring.com\/products\/cirmot-circular-rotational-motion-ti-84-plus-ce-solver","provider":"mcstutoring.com","version":"1.0","type":"link"}