The Bofors was reckoned to be twice as effective as the pom-pom against
torpedo planes, though not much better against very close targets such as kamikazes.
Naval Weapons of WW2, p.80
This is commonly stated, yet if we examine the actual ballistics and shell weight/burster size, it seems to be based upon a worst case scenario for the pom-pom. Assuming equal fire control the relative accuracy should be equivalent to the Average Projectile Velocity (APV) over the distance to the target, against a crossing target:
data from 40mm bofors USN range table*
Bofors
3k yds = 2800mv + 1170sv = 3970/2 = 1985apv
4k yds = 2800mv + 972sv = 3850/2 = 1885apv
2 pdr (estimated from the USN bofors range table)
3k yds = 2300mv + 1000sv = 3300 = 1650apv
4 k yds = 2300mv + 890sv = 3190 = 1595apv
accuracy ratio at 3k yds = 1985/1650 = 1.2
accuracy ratio at 4k yds = 1885/1595 = 1.18
basically, the Bofors should be about 20% more accurate than a pom-pom at 4k yds, against a crossing target. The Bofors has about a 5 to 50% better RoF** (depending on gun elevation) and maybe 10% better lethality per hit (although a single hit from either might be sufficient for many targets) so the total advantage for the Bofors at low elevation (at low elevation Bofors RoF = ~145 RPM, falling to 120 RPM at high elevation) is about 1.95x compared to an pom-pom in controlled fire (~97 RPM) and about 1.7x compared to pom-pom in automatic fire (115 RPM) against a fully crossing target, but this advantage would decline as the target approaches an intercept course to about 1.65x versus a controlled fire pom-pom and 1.4x over a pom-pom in automatic fire, and about 1.35 to 1.15x against a high elevation target versus a pom-pom in controlled and automatic fire, respectively.
Against a directly threatening target (which probably accounted for the majority of engaged targets by any ship) the Bofors probably averaged to about 1.5 to 1.25x as effective as a pom-pom but then again it was about 20% heavier, gun for gun than the pom-pom. The actual advantage of the Bofors is therefore, rather slender, most of the time.
*
http://www.eugeneleeslover.com/ENGINEER ... idged.html-IMPORTANT NOTE- the above range table contains a serious mistake for the 40mm Bofors!!! Note that the SV at 500 yds = 2800fps! This is completely wrong and it should be about 2450 fps so I had to estimate the SV for the above ranges by taking the values from the 3500 and 4500 yd entries. This mistake appears to be repeated by Navweaps.com and by Campbell in Naval Weapons of WW2.
**Campbell states that a skillful Bofors loader might be able to fire 24 rounds (10 seconds at low elevation and ~145 RPM) without pause so over a ~12 second period the Effective RoF might be less than a pom-pom.