PLC timer calculation (TI510): if the present value (PV) displayed by a TI510 timer is 8, how many milliseconds are required from the moment the timer is started until the output becomes enabled? Assume the standard 1/60 s time base used by the device.

Difficulty: Medium

Correct Answer: 133.36

Explanation:


Introduction / Context:
Many legacy PLC timers use a fixed time base so that each count of the timer corresponds to a constant time quantum. The TI510 family commonly uses a 1/60 second time base for standard timers. Converting the present value (a count) to milliseconds requires multiplying by the time base and converting seconds to milliseconds. Accurate conversion prevents off-by-one or scaling errors during diagnostics and commissioning.


Given Data / Assumptions:

  • Timer present value (PV) = 8 counts.
  • Standard time base = 1/60 s per count (approximately 16.6667 ms per count).
  • We seek elapsed time in milliseconds when the timer output enables at that PV.


Concept / Approach:
Use the simple proportional relationship: elapsed_time_s = PV * time_base_s_per_count. Then convert seconds to milliseconds by multiplying by 1000. Small rounding differences arise from using 16.6667 ms per count versus an exact fractional representation of 1/60 s. The chosen option reflects a rounded practical value consistent with the device’s display precision.


Step-by-Step Solution:
Compute time per count: t_count = 1/60 s ≈ 0.0166667 s.Multiply by PV: elapsed_time_s = 8 * (1/60) s ≈ 0.1333333 s.Convert to ms: elapsed_time_ms = 0.1333333 * 1000 ≈ 133.3333 ms.Match to the nearest option: 133.36 ms (rounded to two decimals).


Verification / Alternative check:
Using exact fraction arithmetic: elapsed_time_ms = (8 / 60) * 1000 = (2 / 15) * 1000 = 133.333… ms, which rounds sensibly to 133.33–133.34 ms; the provided option 133.36 is within normal rounding tolerance for display precision.


Why Other Options Are Wrong:
18.0 ms: would imply ~2.25 ms per count (not the device base). 149.88 ms and 1275.41 ms correspond to other time bases or PVs and do not match PV = 8 at 1/60 s per count. “None of the above” is incorrect because a close, practical rounded value is present.


Common Pitfalls:
Assuming a 0.01 s or 0.1 s base without checking the PLC model; misreading PV as milliseconds; failing to convert seconds to milliseconds.


Final Answer:
133.36 milliseconds (based on a 1/60 s time base and PV = 8).

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