A sensor preferably capable of high resolution sensing over a large operating range includes a composite diaphragm containing nanotubes or nanowires. The nanotubes or nanowires preferably form a mat that is embedded in insulating material, such as high dielectric or insulating thin films. The nanotubes or nanowires may provide the diaphragm with a Young's modulus of greater than about 1000 GPa and a tensile strength of greater than about 100 GPa. The strain in the nanotubes or nanowires may be measured by a change in resistance, voltage, current or capacitance.