{"id":637,"date":"2024-08-10T08:11:48","date_gmt":"2024-08-09T20:11:48","guid":{"rendered":"https:\/\/iypt.org.nz\/?page_id=637"},"modified":"2026-08-12T16:02:36","modified_gmt":"2026-08-12T04:02:36","slug":"iypt-problems-2025","status":"publish","type":"page","link":"https:\/\/iypt.org.nz\/?page_id=637","title":{"rendered":"IYPT Problems 2027"},"content":{"rendered":"\n<p class=\"has-text-align-center has-medium-font-size wp-block-paragraph\">These are the 17 problems for the 40th IYPT being held in Auckland, New Zealand between July 5th and 12th 2027<\/p>\n\n\n\n<p class=\"has-text-align-center has-dark-gray-color has-text-color has-link-color has-medium-font-size wp-elements-a472682c3c56333173886b6d8829dbe3 wp-block-paragraph\"><span class=\"has-inline-color has-blue-color\"><strong>The seven problems selected for the New Zealand national tournaments are highlighted in blue<\/strong><\/span>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-text-color has-blue-color has-alpha-channel-opacity has-blue-background-color has-background is-style-wide is-style-wide--1\"\/>\n\n\n\n<p class=\"has-blue-color has-text-color has-link-color wp-elements-57b1dfd82bd4a7f607d8de3ecdb366e0 wp-block-paragraph\"><strong>1. Invent yourself: Pinhole sunglasses<\/strong><br>Investigate the optimal arrangement of pinholes in an opaque film to produce sunglasses that reduce light intensity and help correct short-sightedness<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>2. Disc spectrometer<\/strong><br>Data tracks on optical media (e.g. CDs \/ Blu-ray discs) behave as high-quality reflection-diffraction gratings. When illuminated, these discs can disperse light into its spectral components. Construct a spectrometer using a digital optical disc. Optimise the design to maximise the resolving power and minimise optical aberrations.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>3. Snail ball<\/strong><br>A hollow sphere contains a heavy ball and some viscous fluid. The rolling motion of such a sphere down an inclined plane is uneven and surprisingly slow. Explain and investigate this effect.<\/p>\n\n\n\n<p class=\"has-blue-color has-text-color has-link-color wp-elements-96e9ff90689702ad7b47523d6d05015f wp-block-paragraph\"><strong>4. Singing capacitor<\/strong><br>Certain types of ceramic capacitors emit an audible sound when an alternating voltage is applied across them. Investigate the characteristics of the sound produced and how they depend on relevant parameters, such as voltage, frequency, and capacitor properties.<\/p>\n\n\n\n<p class=\"has-blue-color has-text-color has-link-color wp-elements-3b02f34e7d84a8db9695dffc4b63f1ce wp-block-paragraph\"><strong>5. Y-shaped pendulum<\/strong><br>Construct a Bowditch pendulum (a pendulum whose strings form a &#8220;Y&#8221; shape). Investigate how the Lissajous patterns generated by the bob depend on the relevant parameters.<\/p>\n\n\n\n<p class=\"has-blue-color has-text-color has-link-color wp-elements-58d31ad0fbe3e5896b3d75254b6270e3 wp-block-paragraph\"><strong>6. Seeing sound<\/strong><br>A thin rubber membrane is stretched over a circular frame and driven into vibration by a loudspeaker. A small mirror is attached to the membrane, and a laser beam is reflected off it onto a distant screen. Under certain conditions, the laser spot traces out complex, steady, or evolving geometric patterns. Investigate the relationship between the driving parameters, the membrane\u2019s properties, and the resulting light patterns.<\/p>\n\n\n\n<p class=\"has-blue-color has-text-color has-link-color wp-elements-a2bd697187ca4af0e2998bfeb0cddc77 wp-block-paragraph\"><strong>7. Sinking funnel<\/strong><br>When a long-stemmed and sufficiently heavy funnel is released vertically into water with the stem pointing downward, it undergoes a series of damped vertical oscillations while gradually sinking. Investigate the motion and stability of the sinking funnel and the conditions under which the funnel tips over.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>8. Upward-driven disc<\/strong><br>A circular disc is suspended from the point where it is sandwiched between two wheels, making it free to oscillate as a pendulum. One of the wheels is driven by a motor and thus exerts an upward driving force on the disc. Investigate the motion of the disc.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><a href=\"https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/Upward-driven-disc-diagram.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"601\" height=\"394\" src=\"https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/Upward-driven-disc-diagram.jpg\" alt=\"\" class=\"wp-image-2262\" srcset=\"https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/Upward-driven-disc-diagram.jpg 601w, https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/Upward-driven-disc-diagram-300x197.jpg 300w\" sizes=\"auto, (max-width: 601px) 100vw, 601px\" \/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>9. Photographic bokeh<\/strong><br>Bokeh is an effect observed in photographs that show objects at different distances from the camera and have both sharp and out-of-focus areas. If a slit is placed in front of the lens of the camera, the image may have unusual anisotropic distortions in out-of-focus areas, while in-focus areas remain undistorted and sharp. Investigate how the properties and sharpness of resulting images depend on relevant parameters.<\/p>\n\n\n\n<p class=\"has-blue-color has-text-color has-link-color wp-elements-5e48b1ecf4944bd2a1cc66399d46e9e3 wp-block-paragraph\"><strong>10. Air vortex<\/strong><br>Place a small rod-shaped magnet on the bottom of a vessel filled with liquid and set it into rotation using a magnetic stirrer. Above a certain rotation speed, a thin air channel forms, extending from the liquid surface down to the rotating magnet itself. Investigate and explain this phenomenon.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>11. Sound isolation<\/strong><br>The sound isolation of a room may become breached if the door is not shut properly, even if the gap is negligibly small. Investigate how the shape and size of a small opening affect the transmission of sound.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>12. Dotted line trick<\/strong><br>Under certain conditions, when a piece of chalk is dragged across a blackboard, the resulting trace is not a continuous line but a periodic sequence of dots, even though the motion is uninterrupted. This can happen with other writing materials and surfaces. Investigate the physical parameters that govern this phenomenon.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>13. Vortex pendulum<\/strong><br>A pendulum with a vertically oriented cylindrical bob is suspended above a channel of flowing water. When the bob is partially submerged, the flow may cause the pendulum to oscillate in a direction perpendicular to the flow. Explain this phenomenon and determine how it depends on relevant parameters.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><a href=\"https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/13.-Vortex-pendulum.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"601\" height=\"256\" src=\"https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/13.-Vortex-pendulum.jpg\" alt=\"\" class=\"wp-image-2265\" srcset=\"https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/13.-Vortex-pendulum.jpg 601w, https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/13.-Vortex-pendulum-300x128.jpg 300w\" sizes=\"auto, (max-width: 601px) 100vw, 601px\" \/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>14. Non-Newtonian worms<\/strong><br>If a dilatant non-Newtonian fluid (e.g. a suspension of water and cornflour) is vibrated vertically in a reservoir. When certain conditions are met, wormlike structures that rise from the surface may form. Explain and investigate this phenomenon.<\/p>\n\n\n\n<p class=\"has-blue-color has-text-color has-link-color wp-elements-c1b203cd6dda68a793fa1fe7307054ec wp-block-paragraph\"><strong>15. Cold drink<\/strong><br>A can or bottle of drink at room temperature can be cooled in a cooler containing ice. Adding salt and alcohol to the ice can increase the rate of cooling and affect the drink&#8217;s final temperature. Investigate how the relevant parameters affect the lowest achievable temperature and the maximum cooling rate.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>16. Magnetic carousel<\/strong><br>Several neodymium magnets are attached to a horizontal disc, with adjacent magnets oriented in opposite directions. A fixed non-magnetic plate is placed horizontally above the disc. When the disc rotates about its vertical axis and a steel ball is placed on the plate, the ball may move either in the same direction as, or opposite to, the rotation of the disc. Investigate this phenomenon and determine how the motion depends on relevant parameters.<\/p>\n\n\n\n<figure class=\"wp-block-image aligncenter size-full\"><a href=\"https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/16.-Magnetic-carousel.jpg\"><img loading=\"lazy\" decoding=\"async\" width=\"601\" height=\"337\" src=\"https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/16.-Magnetic-carousel.jpg\" alt=\"\" class=\"wp-image-2268\" srcset=\"https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/16.-Magnetic-carousel.jpg 601w, https:\/\/iypt.org.nz\/wp-content\/uploads\/2026\/07\/16.-Magnetic-carousel-300x168.jpg 300w\" sizes=\"auto, (max-width: 601px) 100vw, 601px\" \/><\/a><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong>17. Falling book cover<\/strong><br>A book is placed horizontally, and the partially open cover is allowed to fall. Investigate the motion of the falling book cover.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>These are the 17 problems for the 40th IYPT being held in Auckland, New Zealand between July 5th and 12th 2027 The seven problems selected for the New Zealand national tournaments are highlighted in blue. 1. Invent yourself: Pinhole sunglassesInvestigate the optimal arrangement of pinholes in an opaque film to produce sunglasses that reduce light [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":2478,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-637","page","type-page","status-publish","has-post-thumbnail","hentry"],"_links":{"self":[{"href":"https:\/\/iypt.org.nz\/index.php?rest_route=\/wp\/v2\/pages\/637","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/iypt.org.nz\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/iypt.org.nz\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/iypt.org.nz\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/iypt.org.nz\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=637"}],"version-history":[{"count":20,"href":"https:\/\/iypt.org.nz\/index.php?rest_route=\/wp\/v2\/pages\/637\/revisions"}],"predecessor-version":[{"id":2335,"href":"https:\/\/iypt.org.nz\/index.php?rest_route=\/wp\/v2\/pages\/637\/revisions\/2335"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/iypt.org.nz\/index.php?rest_route=\/wp\/v2\/media\/2478"}],"wp:attachment":[{"href":"https:\/\/iypt.org.nz\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=637"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}