{"id":2534,"date":"2026-10-14T08:58:46","date_gmt":"2026-10-14T07:58:46","guid":{"rendered":"https:\/\/wpcalc.com\/pl\/inzynieria\/dlugosc-pasa\/"},"modified":"2026-10-14T08:58:46","modified_gmt":"2026-10-14T07:58:46","slug":"dlugosc-pasa","status":"publish","type":"post","link":"https:\/\/wpcalc.com\/pl\/inzynieria\/dlugosc-pasa\/","title":{"rendered":"D\u0142ugo\u015b\u0107 pasa"},"content":{"rendered":"<section class=\"not-prose calculator-box\" aria-labelledby=\"calculator-title\"><div class=\"flex items-baseline sm:items-center justify-between gap-2 sm:gap-3\"><div class=\"flex flex-col sm:flex-row sm:items-center gap-2\"><span class=\"icon icon-calculator text-primary-700! text-base! dark:text-primary-300!\" aria-hidden=\"true\"><\/span><h2 id=\"calculator-title\" class=\"text-lg font-display font-bold\">Oblicz d\u0142ugo\u015b\u0107 paska dla dw\u00f3ch k\u00f3\u0142 pasowych<\/h2><\/div><div class=\"calcdash-favorite group\">\n  <button type=\"button\" class=\"favorite\" id=\"favorite\" data-favorite-id=\"2534\" data-favorite-title=\"D\u0142ugo\u015b\u0107 pasa\" data-favorite-url=\"https:\/\/wpcalc.com\/pl\/inzynieria\/dlugosc-pasa\/\" data-favorite-excerpt=\"Oblicz wymagan\u0105 d\u0142ugo\u015b\u0107 pasa dla nap\u0119du z dwoma ko\u0142ami pasowymi, znaj\u0105c \u015brednice k\u00f3\u0142 i odleg\u0142o\u015b\u0107 mi\u0119dzy ich osiami. Obs\u0142uguje pas otwarty i skrzy\u017cowany w jednostkach metrycznych oraz calowych.\" aria-label=\"Dodaj do ulubionych\" data-favorite-icon=\"icon icon-civil\">\n    <span class=\"icon icon-shape-star-empty\" aria-hidden=\"true\"><\/span>\n  <\/button>\n  <div class=\"calcdash-favorite__tip\" aria-hidden=\"true\">\n   <span class=\"favorite-tooltip\" id=\"favorite-tooltip\"><\/span>\n  <\/div>\n  <span class=\"sr-only\" role=\"status\" id=\"favorite-status\"><\/span>\n<\/div><\/div><form action=\"https:\/\/wpcalc.com\/pl\/inzynieria\/dlugosc-pasa\/\" method=\"POST\" class=\"calculator\" id=\"calculator-2534\" data-post=\"2534\"><fieldset class=\"fieldset-input is-1\"><legend class=\"sr-only\">Pola danych<\/legend><div class=\"is-single field\" id=\"input-1\"><span class=\"font-semibold\">Ko\u0142a pasowe<\/span><\/div><div class=\"field is-single has-term\" id=\"input-2\"><label for=\"field-2\">\u015arednica du\u017cego ko\u0142a (D)<\/label><div class=\"term\">D<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"rednica_duego_koa_d\" id=\"field-2\" aria-describedby=\"calc-info-2\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 200\" min=\"0\" value=\"200\"\/><div class=\"grid grid-cols-1\"><select id=\"field-3\" name=\"jednostka\" aria-label=\"Jednostka\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/option><option value=\"ft\">ft<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-2\">\u015arednica podzia\u0142owa (efektywna) wi\u0119kszego ko\u0142a pasowego.<\/small><\/div><div class=\"field is-single has-term\" id=\"input-3\"><label for=\"field-4\">\u015arednica ma\u0142ego ko\u0142a (d)<\/label><div class=\"term\">d<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"rednica_maego_koa_d\" id=\"field-4\" aria-describedby=\"calc-info-4\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 100\" min=\"0\" value=\"100\"\/><div class=\"grid grid-cols-1\"><select id=\"field-5\" name=\"jednostka\" aria-label=\"Jednostka\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/option><option value=\"ft\">ft<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-4\">\u015arednica podzia\u0142owa (efektywna) mniejszego ko\u0142a pasowego.<\/small><\/div><div class=\"is-single field\" id=\"input-4\"><span class=\"font-semibold\">Uk\u0142ad<\/span><\/div><div class=\"field is-single has-term\" id=\"input-5\"><label for=\"field-7\">Odleg\u0142o\u015b\u0107 mi\u0119dzy osiami (C)<\/label><div class=\"term\">C<\/div>  <div class=\"absolute bottom-0 left-16 top-8 w-2 h-0.5 bg-blue-500\"><\/div><div class=\"field-group\"><input type=\"text\" name=\"odlego_midzy_osiami_c\" id=\"field-7\" aria-describedby=\"calc-info-7\" data-number inputmode=\"decimal\" autocomplete=\"off\" spellcheck=\"false\" placeholder=\"e.g. 500\" min=\"0\" value=\"500\"\/><div class=\"grid grid-cols-1\"><select id=\"field-8\" name=\"jednostka\" aria-label=\"Jednostka\"><option value=\"mm\" selected>mm<\/option><option value=\"cm\">cm<\/option><option value=\"m\">m<\/option><option value=\"in\">in<\/option><option value=\"ft\">ft<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><small id=\"calc-info-7\">Odleg\u0142o\u015b\u0107 mi\u0119dzy \u015brodkami (osiami obrotu) obu k\u00f3\u0142 pasowych.<\/small><\/div><div class=\"field is-single\" id=\"input-6\"><label for=\"field-9\">Uk\u0142ad paska<\/label><div class=\"grid grid-cols-1\"><select id=\"field-9\" name=\"ukad_paska\"><option value=\"open\" selected>Pasek otwarty \u2014 ko\u0142a obracaj\u0105 si\u0119 w t\u0119 sam\u0105 stron\u0119<\/option><option value=\"crossed\">Pasek krzy\u017cowy \u2014 ko\u0142a obracaj\u0105 si\u0119 w przeciwne strony<\/option><\/select><svg class=\"pointer-events-none col-start-1 row-start-1 mr-2 size-5 self-center justify-self-end text-gray-500 sm:size-4\" viewBox=\"0 0 16 16\" fill=\"currentColor\" aria-hidden=\"true\" data-slot=\"icon\">\n              <path fill-rule=\"evenodd\" d=\"M4.22 6.22a.75.75 0 0 1 1.06 0L8 8.94l2.72-2.72a.75.75 0 1 1 1.06 1.06l-3.25 3.25a.75.75 0 0 1-1.06 0L4.22 7.28a.75.75 0 0 1 0-1.06Z\" clip-rule=\"evenodd\" \/>\n            <\/svg><\/div><\/div><\/fieldset><div class=\"buttons\"><button type=\"submit\" data-text=\"Przelicz ponownie\" id=\"calculate-button\" data-post=\"2534\">Oblicz<\/button><button type=\"reset\">Wyczy\u015b\u0107<\/button><\/div><div class=\"field is-checkbox hidden!\" id=\"field-auto-calc\"><input type=\"checkbox\" id=\"auto-calc\"><label for=\"auto-calc\">Obliczaj automatycznie<\/label><small>Po w\u0142\u0105czeniu wynik aktualizuje si\u0119 automatycznie po zmianie dowolnej warto\u015bci.<\/small><\/div><div class=\"fieldset-result is-hidden\" aria-labelledby=\"result-title\" aria-live=\"polite\" role=\"region\"> <h3 class=\"result-title bg-gradient-to-r from-primary-50 to-gray-50 dark:from-primary-900 dark:to-gray-800\" id=\"result-title\"><span class=\"icon icon-s-pulse\" aria-hidden=\"true\"><\/span> Wyniki obliczenia d\u0142ugo\u015bci paska<\/h3><div class=\"result-box\"><div class=\"field-result is-column\" id=\"output-1\"><span class=\"field-title\"><span>Przybli\u017cona wymagana d\u0142ugo\u015b\u0107 paska (L)<\/span><span class=\"result-term\">L<\/span><\/span><span class=\"field-value\" id=\"result-1\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Kopiuj wynik\" aria-label=\"Kopiuj wynik\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><div class=\"field-result is-column\" id=\"output-2\"><span class=\"field-title\"><span>Szczeg\u00f3\u0142y geometrii paska<\/span><\/span><span class=\"field-value\" id=\"result-2\"><\/span><button type=\"button\" class=\"copy-result\" data-tooltip=\"Kopiuj wynik\" aria-label=\"Kopiuj wynik\"><span class=\"copy-icon icon icon-document-copy\" aria-hidden=\"true\"><\/span><\/button><\/div><\/div><div class=\"result-actions\"><button type=\"button\" class=\"copy-link\"><svg viewBox=\"0 0 20 20\" fill=\"currentColor\" aria-hidden=\"true\"><path d=\"M12.232 4.232a2.5 2.5 0 0 1 3.536 3.536l-1.225 1.224a.75.75 0 0 0 1.061 1.06l1.224-1.224a4 4 0 0 0-5.656-5.656l-3 3a4 4 0 0 0 .225 5.865.75.75 0 0 0 .977-1.138 2.5 2.5 0 0 1-.142-3.667l3-3Z\"\/><path d=\"M11.603 7.963a.75.75 0 0 0-.977 1.138 2.5 2.5 0 0 1 .142 3.667l-3 3a2.5 2.5 0 0 1-3.536-3.536l1.225-1.224a.75.75 0 0 0-1.061-1.06l-1.224 1.224a4 4 0 1 0 5.656 5.656l3-3a4 4 0 0 0-.225-5.865Z\"\/><\/svg><span class=\"copy-link__text\">Kopiuj link do tego obliczenia<\/span><\/button><span class=\"sr-only\" role=\"status\" id=\"copy-link-status\"><\/span><\/div><\/div><a href=\"#respond\" class=\"hidden transition-opacity duration-300 opacity-0 w-50 text-sm justify-center items-center gap-2 px-4 py-2 rounded bg-gray-200 text-gray-700 hover:bg-gray-300\" id=\"leave-comment\"><span class=\"icon icon-comments\" aria-hidden=\"true\"><\/span>Zostaw komentarz<\/a><\/form><\/section><section id=\"calc-reactions\" class=\"not-prose hidden my-12 bg-gradient-to-r from-primary-50 to-gray-50 border border-indigo-100 rounded-xl px-6 py-4 shadow-sm\" data-post=\"2534\" aria-live=\"polite\" aria-labelledby=\"calc-reactions-title\"><p id=\"calc-reactions-title\" class=\"text-sm text-gray-500 text-center mb-2\">Jak oceniasz ten wynik?<\/p><div role=\"group\" aria-labelledby=\"calc-reactions-title\" class=\"grid grid-cols-3 sm:flex sm:flex-row sm:justify-around gap-4 sm:items-center sm:flex-wrap\"><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"like\"><span class=\"reaction-count\" data-reaction-count=\"like\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude00 <\/span><span class=\"reaction-description font-medium\">Lubi\u0119 to <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"helpful\"><span class=\"reaction-count\" data-reaction-count=\"helpful\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\udca1 <\/span><span class=\"reaction-description font-medium\">Pomocne <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"confused\"><span class=\"reaction-count\" data-reaction-count=\"confused\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude15 <\/span><span class=\"reaction-description font-medium\">Niejasne <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"disappointed\"><span class=\"reaction-count\" data-reaction-count=\"disappointed\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\ud83d\ude1e <\/span><span class=\"reaction-description font-medium\">Rozczarowanie <\/span><\/button><button type=\"button\" aria-pressed=\"false\" class=\"reaction-btn flex flex-col items-center gap-1 text-sm text-gray-700 hover:text-primary-600 cursor-pointer transition-transform hover:scale-105\" data-reaction=\"inaccurate\"><span class=\"reaction-count\" data-reaction-count=\"inaccurate\">0<\/span><span class=\"reaction text-3xl\" aria-hidden=\"true\">\u274c <\/span><span class=\"reaction-description font-medium\">Niedok\u0142adne <\/span><\/button><\/div><div id=\"reaction-message\" class=\"hidden mt-8 rounded-md border border-primary-100 bg-white\/50 backdrop-blur-sm px-4 py-2 text-sm text-center shadow-sm\"><\/div><\/section><div class=\"calcdash-ad not-prose calcdash-ad--calc_result calcdash-ad--in-article\"><ins class=\"adsbygoogle\" style=\"display:block\" data-ad-client=\"ca-pub-1721569815777345\" data-ad-slot=\"6317458308\" data-ad-layout=\"in-article\" data-ad-format=\"fluid\"><\/ins><script>(adsbygoogle = window.adsbygoogle || []).push({});<\/script><\/div>\n<style id=\"wpcoderpro-inline-1\">.formula-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section class=\"formula-box\" aria-labelledby=\"formula-title\">\r\n\t<div id=\"formula-title\" class=\"not-prose font-display mb-4\"><span class=\"icon icon-formula\" aria-hidden=\"true\"><\/span><h2>Wz\u00f3r na d\u0142ugo\u015b\u0107 pasa<\/h2><\/div>\r\n\t<figure class=\"not-prose formula\">\r\n\t\t<figcaption class=\"formula-title\">Wz\u00f3r<\/figcaption>\r\n\t\t<div class=\"text-base text-gray-800\" id=\"formula\">\n\\[ L \\approx 2C + \\frac{\\pi}{2}(D + d) + \\frac{(D \\mp d)^2}{4C} \\]\n<\/div>\r\n\t<\/figure>\r\n\t<\/p>\n<p><strong>Obja\u015bnienie symboli:<\/strong><\/p>\n<ul>\n<li>\\(L\\) \u2014 wymagana d\u0142ugo\u015b\u0107 pasa (w tej samej jednostce co dane wej\u015bciowe)<\/li>\n<li>\\(C\\) \u2014 odleg\u0142o\u015b\u0107 mi\u0119dzy osiami obu k\u00f3\u0142 pasowych<\/li>\n<li>\\(D\\) \u2014 \u015brednica podzia\u0142owa (efektywna) wi\u0119kszego ko\u0142a pasowego<\/li>\n<li>\\(d\\) \u2014 \u015brednica podzia\u0142owa (efektywna) mniejszego ko\u0142a pasowego<\/li>\n<\/ul>\n<p>Znak minus \\((D - d)\\) dotyczy pasa otwartego, a znak plus \\((D + d)\\) \u2014 pasa skrzy\u017cowanego. To klasyczne in\u017cynierskie przybli\u017cenie: \\(2C\\) obejmuje oba proste odcinki pasa, cz\u0142on z \u03c0 opisuje opasanie obu k\u00f3\u0142, a cz\u0142on kwadratowy koryguje dodatkow\u0105 d\u0142ugo\u015b\u0107 wynikaj\u0105c\u0105 z r\u00f3\u017cnicy \u015brednic k\u00f3\u0142.<\/p>\n<p>\r\n<\/section>\n<style id=\"wpcoderpro-inline-2\">.calculation-box {\r\n\tborder-bottom: none !important;\r\n}<\/style><section id=\"calculation\" class=\"calculation-box\" aria-labelledby=\"calculation-title\">\r\n\t<div id=\"calculation-title\" class=\"not-prose font-display\"><span class=\"icon icon-unordered-list\" aria-hidden=\"true\"><\/span><h2>D\u0142ugo\u015b\u0107 pasa \u2013 przyk\u0142ad obliczenia<\/h2><\/div>\r\n\r\n<\/p>\n<p><strong>Przyk\u0142ad:<\/strong> pas otwarty \u0142\u0105czy ko\u0142o pasowe o \u015brednicy 200 mm z ko\u0142em o \u015brednicy 100 mm, a odleg\u0142o\u015b\u0107 mi\u0119dzy ich osiami wynosi 500 mm.<\/p>\n<p>\\[ L \\approx 2(500) + \\frac{\\pi}{2}(200 + 100) + \\frac{(200 - 100)^2}{4 \\times 500} \\]<\/p>\n<p>\\[ L \\approx 1000 + 471.24 + 5 = 1476.24 \\text{ mm} \\]<\/p>\n<p><strong>Wynik:<\/strong> wymagana d\u0142ugo\u015b\u0107 pasa wynosi oko\u0142o <strong>1476 mm (1,476 m, czyli 58,1 cala)<\/strong>. Mo\u017cesz to sprawdzi\u0107, pozostawiaj\u0105c domy\u015blne warto\u015bci w kalkulatorze i klikaj\u0105c przycisk Oblicz.<\/p>\n<p>\n\r\n<\/section>\n<h2>Jak korzysta\u0107 z kalkulatora<\/h2>\n<ol>\n<li>Wpisz <strong>\u015brednic\u0119 wi\u0119kszego ko\u0142a (D)<\/strong> \u2014 czyli \u015brednic\u0119 podzia\u0142ow\u0105 (efektywn\u0105) wi\u0119kszego ko\u0142a pasowego \u2014 i wybierz jednostk\u0119 (mm, cm, m, cal lub stop\u0119).<\/li>\n<li>Wpisz <strong>\u015brednic\u0119 mniejszego ko\u0142a (d)<\/strong> wraz z jednostk\u0105.<\/li>\n<li>Wpisz <strong>odleg\u0142o\u015b\u0107 mi\u0119dzy osiami (C)<\/strong>, czyli odleg\u0142o\u015b\u0107 mi\u0119dzy osiami obrotu obu k\u00f3\u0142 pasowych.<\/li>\n<li>Wybierz <strong>uk\u0142ad pasa<\/strong>: <em>pas otwarty<\/em>, gdy ko\u0142a obracaj\u0105 si\u0119 w t\u0119 sam\u0105 stron\u0119, albo <em>pas skrzy\u017cowany<\/em>, gdy pas jest skr\u0119cony w \u00f3semk\u0119 i ko\u0142a obracaj\u0105 si\u0119 w przeciwnych kierunkach.<\/li>\n<li>Odczytaj przybli\u017con\u0105 d\u0142ugo\u015b\u0107 pasa \u2014 w wybranej jednostce, wraz z tabel\u0105 przelicze\u0144 na wszystkie popularne jednostki \u2014 oraz szczeg\u00f3\u0142y geometrii (k\u0105ty opasania, d\u0142ugo\u015b\u0107 odcink\u00f3w prostych i d\u0142ugo\u015bci \u0142uk\u00f3w na ka\u017cdym kole).<\/li>\n<\/ol>\n<h2>Co oznacza obliczenie d\u0142ugo\u015bci pasa<\/h2>\n<p>Nap\u0119d pasowy przekazuje moc mi\u0119dzy dwoma wa\u0142ami za pomoc\u0105 tarcia (pasy p\u0142askie i klinowe) albo z\u0119b\u00f3w (pasy z\u0119bate). Aby dobra\u0107 czy zam\u00f3wi\u0107 pas, musisz zna\u0107 jego d\u0142ugo\u015b\u0107 ca\u0142kowit\u0105, kt\u00f3ra sk\u0142ada si\u0119 z czterech cz\u0119\u015bci: dw\u00f3ch prostych odcink\u00f3w biegn\u0105cych mi\u0119dzy ko\u0142ami oraz dw\u00f3ch \u0142uk\u00f3w opasania \u2014 po jednym na ka\u017cdym kole. Poniewa\u017c ko\u0142a maj\u0105 zwykle r\u00f3\u017cne \u015brednice, pas schodzi z ka\u017cdego ko\u0142a pod lekkim k\u0105tem, a nie wzd\u0142u\u017c linii \u0142\u0105cz\u0105cej osie \u2014 w\u0142a\u015bnie ten efekt uwzgl\u0119dnia cz\u0142on korekcyjny \\((D \\mp d)^2\/(4C)\\).<\/p>\n<p>Szczeg\u00f3\u0142y geometrii m\u00f3wi\u0105, czy nap\u0119d b\u0119dzie w og\u00f3le dobrze dzia\u0142a\u0142. <strong>K\u0105t opasania<\/strong> to liczba stopni obwodu ko\u0142a, kt\u00f3re pas obejmuje. W pasie otwartym mniejsze ko\u0142o zawsze ma mniejszy k\u0105t opasania; je\u015bli spadnie on poni\u017cej oko\u0142o 120\u2013130\u00b0, pas mo\u017ce si\u0119 \u015blizga\u0107 pod obci\u0105\u017ceniem. Pas skrzy\u017cowany daje obu ko\u0142om k\u0105t opasania wi\u0119kszy ni\u017c 180\u00b0, co poprawia przyczepno\u015b\u0107 kosztem szybszego zu\u017cycia w miejscu, gdzie pas trze o siebie w punkcie skrzy\u017cowania.<\/p>\n<p><strong>Stosunek odleg\u0142o\u015bci mi\u0119dzy osiami<\/strong> \\(C\/d\\) to przydatna kontrola projektowa: wi\u0119kszo\u015b\u0107 praktycznych nap\u0119d\u00f3w dwuko\u0142owych dzia\u0142a najlepiej przy \\(C\/d\\) od oko\u0142o 1,5 do 5. Bardzo ma\u0142a odleg\u0142o\u015b\u0107 mi\u0119dzy osiami wymusza ekstremalne k\u0105ty opasania i zbyt cz\u0119ste zginanie pasa na ma\u0142ym kole, a bardzo du\u017ca powoduje opadanie i trzepotanie pasa. Zwr\u00f3\u0107 uwag\u0119, \u017ce prze\u0142o\u017cenie k\u00f3\u0142 zale\u017cy wy\u0142\u0105cznie od \u015brednic, \\(n_1\/n_2 = D\/d\\) \u2014 d\u0142ugo\u015b\u0107 pasa go nie zmienia.<\/p>\n<h2>Za\u0142o\u017cenia, ograniczenia i praktyczne wskaz\u00f3wki<\/h2>\n<ul>\n<li><strong>Wz\u00f3r przybli\u017cony.<\/strong> U\u017cyty tutaj wz\u00f3r to klasyczne in\u017cynierskie przybli\u017cenie. Dla typowych uk\u0142ad\u00f3w (odleg\u0142o\u015b\u0107 mi\u0119dzy osiami wi\u0119ksza ni\u017c \u015brednice k\u00f3\u0142) jego dok\u0142adno\u015b\u0107 jest znacznie lepsza ni\u017c 1%, a przy r\u00f3wnych ko\u0142ach staje si\u0119 \u015bci\u015ble dok\u0142adny.<\/li>\n<li><strong>\u015arednica podzia\u0142owa, nie zewn\u0119trzna.<\/strong> Dla pas\u00f3w klinowych i z\u0119batych u\u017cyj \u015brednicy podzia\u0142owej (efektywnej) z danych producenta \u2014 zwykle o 5\u201310 mm mniejszej ni\u017c \u015brednica zewn\u0119trzna ko\u0142a klinowego. U\u017cycie \u015brednicy zewn\u0119trznej zawy\u017cy d\u0142ugo\u015b\u0107 pasa.<\/li>\n<li><strong>Minimalna odleg\u0142o\u015b\u0107 mi\u0119dzy osiami.<\/strong> Geometrycznie pas otwarty wymaga \\(C &gt; |D - d|\/2\\), a pas skrzy\u017cowany \\(C &gt; (D + d)\/2\\); kalkulator ostrze\u017ce Ci\u0119, je\u015bli uk\u0142ad jest niemo\u017cliwy.<\/li>\n<li><strong>Bez zapasu na zwis, grubo\u015b\u0107 i naci\u0105g.<\/strong> Wynik to d\u0142ugo\u015b\u0107 osi neutralnej idealnego pasa. Prawdziwe pasy lekko si\u0119 rozci\u0105gaj\u0105, dlatego zaleca si\u0119 mocowanie z regulacj\u0105 napr\u0119\u017cenia (na przesuw), aby m\u00f3c ustawi\u0107 naci\u0105g po monta\u017cu. Dla pasa klinowego wybierz najbli\u017csz\u0105 standardow\u0105 sekcj\u0119 i d\u0142ugo\u015b\u0107 z katalogu producenta, zamiast zamawia\u0107 pas na wymiar.<\/li>\n<li><strong>Kupujesz pas z\u0142\u0105czony (bez ko\u0144ca)?<\/strong> Jego d\u0142ugo\u015b\u0107 jest mierzona przy okre\u015blonym naci\u0105gu i mo\u017ce r\u00f3\u017cni\u0107 si\u0119 o u\u0142amek procenta od obliczonej d\u0142ugo\u015bci geometrycznej \u2014 zawsze sprawd\u017a tolerancj\u0119 w katalogu.<\/li>\n<\/ul>\n<p>Je\u015bli projektujesz szerszy uk\u0142ad mechaniczny lub hydrauliczny wok\u00f3\u0142 nap\u0119du pasowego, przydatne mog\u0105 by\u0107 te\u017c nasze kalkulatory: <a href=\"https:\/\/wpcalc.com\/en\/engineering\/pump-power\/\">Moc pompy<\/a> \u2014 do doboru silnika nap\u0119dzaj\u0105cego ko\u0142o pasowe, oraz <a href=\"https:\/\/wpcalc.com\/en\/engineering\/reynolds-number\/\">Liczba Reynoldsa<\/a> i <a href=\"https:\/\/wpcalc.com\/en\/engineering\/pipe-pressure-drop\/\">Spadek ci\u015bnienia w rurze<\/a> \u2014 dla cz\u0119\u015bci przep\u0142ywowej instalacji.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Oblicz wymagan\u0105 d\u0142ugo\u015b\u0107 pasa dla nap\u0119du z dwoma ko\u0142ami pasowymi, znaj\u0105c \u015brednice k\u00f3\u0142 i odleg\u0142o\u015b\u0107 mi\u0119dzy ich osiami. Obs\u0142uguje pas otwarty i skrzy\u017cowany w jednostkach metrycznych oraz calowych.<\/p>\n","protected":false},"author":3168,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"footnotes":""},"categories":[8],"tags":[30],"class_list":["post-2534","post","type-post","status-publish","format-standard","hentry","category-inzynieria","tag-budownictwo"],"acf":[],"_links":{"self":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/2534","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/users\/3168"}],"replies":[{"embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/comments?post=2534"}],"version-history":[{"count":1,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/2534\/revisions"}],"predecessor-version":[{"id":2689,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/posts\/2534\/revisions\/2689"}],"wp:attachment":[{"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/media?parent=2534"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/categories?post=2534"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpcalc.com\/pl\/wp-json\/wp\/v2\/tags?post=2534"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}