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Conserving network energy for Wireless Sensor Networks (WSN) is a highly researched area now-a-days. One of the methods employed to achieve this task is by keeping the data collecting sink node(s) mobile. This can be realized by the randomly mobilizing the data collecting sink node(s). An advantage of this realization is that it is easily deployable. Therefore, we target random mobility model for the energy conservation of the WSN. The percentage change in performance is measured by the 2 states mathematical equation. Using the energies consumed by the network during active network operation, the mathematical equation provides insight into the network ability to conserve energy. The energy consumed by the network with a static data collecting sink node is the first state and the energy consumed by the same network with data collecting sink node kept mobile is the second state. The network simulator-2 (ns2) supports various adhoc wireless network routing protocols. A unique protocol was selected out such 4 protocols. The results are observed and compared for 4 sensor networks of different sizes. Key Words: Adhoc Wireless Network Routing Protocols, Wireless Sensor Network (WSN), Energy Efficiency, Random Mobility Model.