Only 50 years ago, most physics and astronomy research relied on the analytical skills of the scientist, on the tools of classical mathematics that were taught to them as students, and in some cases on data management and numerical analysis done by hand. Today, cutting edge research often requires high speed computing for simulation and data analysis, interactive tools to enhance extraction of relevant information from multi-parameter databases, and automated and robotic instrumentation, and incomprehensibly large data sets. The issue for the researcher in training is not whether computing skills are needed, but which ones are most critical.
Broadly classed, there are several options:
In order to decide which of these apply to your own research, consider a larger question of what role computer science plays in contemporary physics and astronomy, and in what direction your research field is headed. Then, pick the tools that solve the problem at hand, realizing that the skills you develop at each step raise you up to reach a solution for the next, unknown, problem. In some cases, continued reliance on an old, inefficient, but proven, method only delays the need to acquire new skills and knowledge.
An interesting perspective on the significance of large data base sciences was offered by Chris Mattmann in a Nature Commentary, in which he pointed out that the Square Kilometer Array (SKA), scheduled to have first light in 2020, will generate 22,000,000,000 terabytes (TB) of data per year! In the optical regime, the Large Synoptic Survey Telescope (LSST) has a 3.2 giga-pixel (3200 mega-pixels) camera taking images in 15 second exposures throughout the night. The resulting images will offer a nightly record of nearly the entire sky in an open, publically accessible database reaching 24th magnitude in single exposures, and 27th magnitude in stacked images of fields of 10 square degrees. There will be multi-dimensional data products that will require exceptional unique tools to use effectively.