The rapid advance of gravitational-wave (GW) detector facilities makes it very important to estimate the event rates of possible detection candidates. We consider an additional possibility of GW bursts produced during unbound orbits of stellar mass compact objects. We estimate the rate of successful detections for specific detectors: the initial Laser Interferometric Gravitational-Wave Observatory (InLIGO), the French-Italian gravitational-wave antenna VIRGO, the near-future Advanced-LIGO (AdLIGO), the space-based Laser Interferometric Space Antenna (LISA), and the Next Generation LISA (NGLISA). The dominant contribution among unbound orbits that have GW frequencies in the sensitive band of the detectors correspond to near-parabolic encounters (PEs) within globular clusters (GCs). Simple GC models are constructed to account for the compact object mass function, mass segregation, number density distribution, and velocity distribution. We calculate encounters both classically and account for general relativistic corrections by extrapolating the results for infinite mass ratios. We also include the cosmological redshift of waveforms and event rates. We find that typical PEs with masses m 1 = m 2 = 40M ⊙ are detectable with matched filtering over a signal to noise ratio S/N = 5 within a distance d L ∼ 200 Mpc for InLIGO and VIRGO, z = 1 for AdLIGO, 0.4 Mpc for LISA, and 1 Gpc for NGLISA. We estimate single datastream detection rates of 5.5 × 10 −5 yr −1 for InLIGO, 7.2 × 10 −5 yr −1 for VIRGO, 0.063 yr −1 for AdLIGO, 2.9 × 10 −6 yr −1 for LISA, and 1.0 yr −1 for NGLISA, for reasonably conservative assumptions. These estimates are subject to uncertainties in the GC parameters, most importantly the total number and mass-distribution of black holes (BHs) in the cluster core. In reasonably optimistic cases, we get ∼ > 1 detections for AdLIGO per year. We can expect that a coincident analysis using multiple detectors and accounting for GW recoil capture significantly increases the detection rates. We give ready-to-use formulas to recalculate the estimates when these input parameters become better-determined. In addition, we provide the partial detection rates for various masses. The regular detection of GWs during PEs would provide a unique observational probe for constraining the stellar BH mass function of dense clusters.