T-Mobile has rolled out Google’s answer to the iPhone as the Web search giant makes its biggest stab yet at leaping from consumers’ computers into their pockets with a device cheaper than rival Apple offers.

The G1 phone, introduced on Tuesday made by HTC Corp, has a touch-sensitive screen, a computer-like keyboard, Wi-Fi connections and uses Google’s new Android operating system.

Available in three colors black, white and brown it includes familiar Google services, such as Google Maps, Gmail and YouTube. Like the iPhone and a handful of other “smartphones” including Research In Motion Ltd’s BlackBerry the device is meant to broaden the appeal of playing games, enjoying music and Web surfing while on the go.

Google is well ahead of rivals Yahoo Inc and Microsoft Corp in Web search on computers and hopes to use Android to maintain its dominance in search related ad sales as cell phone Web use gains prominence. So far, no clear winner has emerged in the mobile Web race, which also includes Nokia and Microsoft.