Examkin

Soru

Zorluk: OrtaMeasurement of Time

A stopwatch with a zero error of −0.25 s-0.25\text{ s} is used to record the time taken for an object to travel down an inclined path. If the stopwatch displays a time reading of 14.65 s14.65\text{ s} at the end of the motion, what is the true time elapsed in seconds?

Cevap: 14.9 s

Cevap

The true time elapsed is 14.90 seconds.
The correct answer is obtained by subtracting the zero error from the observed reading. Since the stopwatch has a negative zero error of −0.25 s-0.25\text{ s}, the true time is 14.65 s−(−0.25 s)=14.90 s14.65\text{ s} - (-0.25\text{ s}) = 14.90\text{ s}.

Adım Adım Çözüm

1
Apply the zero error correction formula for measurement instruments
Actual Time = Displayed Time - Zero Error
Zero error represents a constant bias on the instrument that must be subtracted from the uncorrected reading.
2
Substitute the given values into the formula
Actual Time = 14.65 s - (-0.25 s)
The instrument starts behind zero by 0.25 s, so the zero error value is negative.
3
Perform the calculation
Actual Time = 14.90 s
Subtracting a negative quantity is mathematically equivalent to adding its positive magnitude.

Anahtar Kavram

Zero Error Correction in Stopwatch Time Measurement
Bu soruyu puanla

Konular

Measurement of Time

Bu konudan daha fazla soru