A remote assistant system capable of measuring a vibration velocity and then determining whether or not warning is required includes a vibration sensor unit which measures a vibration velocity, while transmitting information of a measured value of the measurement every ten minutes. A cloud server receives and saves the information of the measured value, while employing as an effective velocity value only a measured value within a range between an effective upper-limit velocity value and an effective lower-limit velocity value. Then, when a latest moving average value calculated by use of a latest effective velocity value and a saved effective velocity value exceeds a velocity threshold previously set as an upper limit for a vibration velocity in a case not requiring inspection, the cloud server transmits a warning e-mail to that effect to a previously set e-mail address.