Can you connect an electric motor to gears and get more speed?

you can get more speed (RPMs) but less torque by gearing up. Or less speed and more torque with reduction gearing (gearing down). But not get both speed and more torque at the same time. That said, most electric motors are geared down for more torque. read more

Yes you can connect electric motor to gear to get desired speed, but keep in mind about torque. read more

Motor Speed: Now we can check to see if our chosen gear ratio will allow us to achieve our desired output speed, 357rpm. Gearbox Speed: Finally, now that we have verified that our gear ratio satisfies our requirement, we can calculate how long it should take for the motor to raise the elevator. read more