It was packing maximum sustained winds 35 miles per hour (55 kmh) but was expected to weaken and become a remnant on Tuesday, the center said.
The heavy showers caused a riverbed to overflow, spilling muddy waters into a north Phoenix intersection.
A flash-flood watch was issued until 9 a.m. Wednesday for the region, and meteorologists were particularly concerned about areas near the 416 Fire burn scar, said Norv Larson, a meteorologist.
The Phoenix area should dry out by the end of the week.
The tribal safety department said 30 people had been evacuated from another village on the reservation because of flooding.
Rain from the remnants of Tropical Storm Rosa slowed the Phoenix area's morning commute traffic as authorities prepared for potential flooding across the desert Southwest. But, as much as we might need the water from a good storm to refill parched aquifers, rain accumulation estimates are being revised as of Monday afternoon, according to a Tweet posted by the National Weather Service's Los Angeles office.
Flash flooding and heavy rainfall called for several water rescues as Valley fire crews rescued people trapped in their vehicles from floodwaters. "Those planning to be outdoors next week should keep an eye on the weather forecast and make contingency plans", the NWS said.
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A mineral museum in ME also was considering buying it, and the owner herself - a collector - said she might purchase it. A United States farmer and his son saw a shooting star come crashing onto their property one night in the 1930s.
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And they also won 2-1 at the Etihad to book their place in the Champions League semi-final. "He's training with us, yeah". These guys are so risky and connect between them - Mane and Salah love running behind and they do it really well.
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Sanchez told his agent that he doesn't even speak with the coach, feels incredibly unhappy and wants to leave the club. He is very bright on his analysis of the opponents' qualities and tries to stop them. "So we expect a hard match".
Flash flood watches were in effect in parts of Arizona, California, Nevada and Utah, where Utah Gov. Gary Herbert mobilized about 200 National Guard soldiers Monday to prepare for potential flooding in Utah County south of Salt Lake City.
The National Weather Service says Phoenix Sky Harbor International Airport has received more than 2 inches (5 centimeters) of ran so far Tuesday.
That made it the rainiest October day since records have been kept, topping the 2.32 (5.89) inches recorded on Oct. 14, 1988.
The Maricopa County Flood Control District reported no immediate reports Tuesday morning of flash flooding in the county that includes most of metro Phoenix. Southern Arizona, where flooding from Rosa began Sunday night, can expect 1 to 3 inches.
Tropical Storm Rosa was approaching the coast of Mexico's Baja California on Tuesday, bringing heavy rain and possible debris flows and landslides to parts of the area and the southwestern United States, the National Hurricane Center said.
Between 3 to 6 inches (8-15 cm) of rain was expected to fall across Baja California and northwestern Sonora, and up to 10 inches in isolated areas by Wednesday morning, the NHC said.
It's then expected to move quickly northwestward as it weakens, bringing 2 to 4 inches of rain to central and southern Arizona and 1 to 2 inches to the rest of the desert Southwest, Central Rockies and Great Basin.