A torque transducer is used to measure the power of a rotating shaft. During the mode of measurement, the following parameters are monitored:
Speed of rotation of the shaft during the time, (R)
Force at the end of the torque arm, (F)
Length of the torque arm, (L)
Time in seconds, (t)
The errors in each of the measurements are as follows:
Shaft speed, R = 2502±1 revolutions
Force on the arm, F = 55.02±0.18 N
Length of the arm, L = 0.0397±0.0013 M
Time in seconds, t = 60±0.50 seconds (the answer will be different if the value of ‘t’ is taken as 30 sec). The power is computed using the following equation: 
Determine the absolute error in the measurement of torque.
What will be an ideal response?
Computing various partial derivatives:
Consider each component of error contributing to the measurement of the power in absolute terms using the equation:
Allowable error
If it is required to measure the torque to 0.5% accuracy in the precision torque transducer, what accuracies will be allocated to individual measurement? If error is limited to 0.5%:
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