一阿基米德的推理也可以推广到作加速运动的密度均匀的液体中去。图1说明一力正作用在一定体积的密度均匀的液体上,此液体完全充满在一个正在作加速运动的刚体容器中。作用在这个体积上的净力与液体的加速度有关,可由 f=Vρα给出,式中 L 是体积,ρ是密度。如果这部分体积内充满与液体密度相同的另外物体(图1 b),净力仍是一样,但是当这物体与液 An Archimedes’ reasoning can also be extended to a uniform density liquid that accelerates motion. Figure 1 illustrates that a force is acting on a volume of liquid of uniform density that is completely filled in a rigid body that is undergoing accelerated movement. The net force acting on this volume is related to the acceleration of the liquid and can be given by f=Vρα, where L is the volume and ρ is the density. If this part of the volume is filled with another object of the same density as the liquid (Fig. 1b), the net force is still the same, but when the object is