Asmall plot of land has measured dimensions of 50.0 by 150.0 ft. The uncertainty in the 50-ft dimension is 0.01 ft. Calculate the uncertainty with which the 150-ft dimension must be measured to ensure that the total uncertainty in the area is not greater than 150 percent of that value it would have if the 150-ft dimension were exact.
Answers
1. A certain resistor draws 110.2 V and 5.3 A. The uncertainties in the measurements are ±0.2 V and ±0.06 A, respectively. Calculate the power dissipated in the resistor and the uncertainty in the power.
2. A small plot of land has measured dimensions of 50.0 by 150.0 ft. The uncertainty in the 50-ft dimension is ±0.01 ft. Calculate the uncertainty with which the 150-ft dimension must be measured to ensure that the total uncertainty in the area is not greater than 150 percent of that value it would have if the 150-ft dimension were exact
Answer:
. A certain resistor draws 110.2 V and 5.3 A. The uncertainties in the measurements are ±0.2 V and ±0.06 A, respectively. Calculate the power dissipated in the resistor and the uncertainty in the power.
2. A small plot of land has measured dimensions of 50.0 by 150.0 ft. The uncertainty in the 50-ft dimension is ±0.01 ft. Calculate the uncertainty with which the 150-ft dimension must be measured to ensure that the total uncertainty in the area is not greater than 150 percent of that value it would have if the 150-ft dimension were exact