An apparatus for calibrating rotary power assembly impulse tools comprises a variable rate simulated test joint in which a rotary shaft is braked by brake shoes in direct contact with the shaft under the control of a computer. The braking torque applied to the shaft by the brake shoes is gradually increased while the shaft is driven at free-running speed by the tool being calibrated, and the pulsed output of the impulse tool is monitored. The monitored pulsed output is initially erratic, but settles down to a regular stream of output pulses. The first pulse of that regular stream can be identified. The magnitude of the braking torque is then increased as a linear function of time with a predefined gradient representative of the torque rate of the joint being simulated, commencing with the identified first pulse. The apparatus is the first such apparatus to be able to provide thoroughly reliable and consistent torque calibration for impulse tools.