Question: What is the capital of the county where Arcadia is located in the state that WIUX-LP broadcasts in?

full_context: Document 1: Arcadia Township, Carroll County, Iowa: Arcadia Township is one of eighteen townships in Carroll County, Iowa, USA. As of the 2000 census, its population was 752.
Document 2: WIXL-LP: WIXL-LP (97.1 FM) is a radio station licensed to Madison, Wisconsin, United States, the station serves the Madison area. The station is currently owned by City Church, Inc. It broadcasts a Christian rock format. After many delays, the station went on air just ahead of an FCC deadline.
Document 3: WIUX-LP: WIUX-LP (99.1 FM) is a student-operated low power FM college radio station in Bloomington, Indiana, United States. The station is owned by Indiana University Student Broadcasting.
Document 4: Center Township, Marion County, Indiana: Center Township is one of nine townships in Marion County, Indiana, in the United States. As of the 2010 census, its population was 142,787 and it contained 76,872 housing units. It is the most populated township in Marion County.
Document 5: Wayne Township, Hamilton County, Indiana: Wayne Township is one of nine townships in Hamilton County, Indiana, United States and serves as one of two townships within Noblesville, Indiana's jurisdiction. As of the 2010 census, its population was 7,886 and it contained 3,252 housing units, an increase from 2415 in 2000, as Noblesville continues to expand eastward and Fishers reaches its northern limits. In 2007, Noblesville officially opened one of the largest mixed use developments in the state, called the Noblesville Corporate Campus. A portion of the development is located within the township. When completed, it will include a large industrial/commercial park, several housing developments, hotels, greenspace and a large outdoor shopping center called Hamilton Town Center, being built by the Simon Property Group, headquartered in nearby Indianapolis.
Document 6: Arcadia, North Carolina: Arcadia is an unincorporated community in Davidson County, North Carolina. It is located in the northwestern section of the county along NC Highway 150. Neighboring communities and municipalities include Midway, Welcome, and Winston-Salem.
Document 7: Arcadia, Indiana: Arcadia is a town in Jackson Township, Hamilton County, Indiana, United States. The population was 1,666 at the 2010 census.
Document 8: WZND-LP: WZND-LP (103.3 MHz FM) is a low-power FM radio station licensed for Bloomington, McLean County, Illinois, United States. The station is staffed by students of Illinois State University and airs music from genres including rock, hip-hop, classic, pop, and country.
Document 9: Wayne Township, Allen County, Indiana: Wayne Township is one of twenty townships in Allen County, Indiana, United States. As of the 2010 census, its population was 103,803.
Document 10: Center Township, Wayne County, Indiana: Center Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 7,579 and it contained 3,204 housing units.
Document 11: Arcadia, Oklahoma: Arcadia is a town in Oklahoma County, Oklahoma, United States, and a part of the Oklahoma City metropolitan area. The population was 247 at the 2010 census, a decrease of 11.5 percent from 279 at the 2000 census.
Document 12: Harrison Township, Wayne County, Indiana: Harrison Township is one of fifteen townships in Wayne County, Indiana, United States. As of the 2010 census, its population was 392 and it contained 138 housing units.
Document 13: Jackson Township, Clinton County, Indiana: Jackson Township is one of fourteen townships in Clinton County, Indiana. As of the 2010 census, its population was 1,173 and it contained 469 housing units. The township was named for President Andrew Jackson.
Document 14: WRIU: When the station first signed on in 1964 (located at 91.9 on the dial at that time) WRIU's music format was mostly jazz, classical, some folk music, and easy listening. The station signal was 10 watts and coverage was generally just nearby to the Campus, sometimes reaching farther. When the station wished to expand in about 1971, installing a more powerful signal with updated facilities, the U.S. Federal Communications Commission (FCC) requirements included surveying the current and potential audience- mostly URI students- to show support for FCC approval of such expansion. A music listener survey was conducted by WRIU staff, collated, and results were published to help establish a new format based on the survey of listener preferences. This helped WRIU gain the support of URI students and the URI Student Senate, which voted to fund the purchase of equipment for expansion by about 1972. The new music format that was established in 1971 was unique in Rhode Island and continues, flexibly now inclusive of many new musical influences.
Document 15: CIUT-FM: CIUT-FM is a campus and community radio station owned and operated by the University of Toronto. The station broadcasts live and continuously from Toronto on the 89.5 FM frequency. Programming can also be heard nationally via channel 826 on Shaw Direct, and over the internet via the CIUT website. The station is financially supported by donations and an undergraduate student levy. CIUT-FM also broadcasts a Punjabi and Urdu language station, Sur Sagar Radio on a Subsidiary Communications Multiplex Operation frequency.
ground_truth: Noblesville
sub_queries: What state is WIUX-LP located? Answer: Indiana
Arcadia, Indiana >> located in the administrative territorial entity Answer: Hamilton County
Hamilton County >> capital Answer: Noblesville