That definitely sounds odd to me ... I would have the dealer look at it. If they say it's normal, make them start up a similar age/model Z and see if it's making the same noise. There is a squeal in there that doesn't sound right - first guess I'd think it was a belt, but I generally wouldn't expect that with a brand new vehicle.
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2011 370Z 6MT Sport Gun Metallic | ARC | CJM | Ecutek | FI | Fujimura | R2C | SPL | Stillen | TWM | Z1 | ZSpeed | |