Refer to Multiple-Concept Example 4 for a review of the concepts that play roles in this problem. Civil engineers use a transit theodolite when surveying. One version of this device determines distance by measuring the time required for an ultrasonic pulse to reach a target, reflect from it, and return. When calibrated properly, the device uses the speed of sound appropriate for the ambient air temperature to determine the distance between the theodolite and the target. Suppose a theodolite is calibrated so that it gives the correct value for a distance when used at a temperature of 291 K. When used at a temperature of 306 K, however, the device gives an incorrect value for the same distance. What percentage error would there be in the incorrect value measured by the theodolite? If the incorrect value is too big, then give the error percentage as a positive number. If the incorrect value is too small, then give the error percentage as a negative number. Assume that air behaves as an ideal gas, so that Equation 16.5 applies. Units

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Chapter13: Mechanical Waves
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Refer to Multiple-Concept Example 4 for a review of the concepts that play roles in this problem. Civil engineers use a transit
theodolite when surveying. One version of this device determines distance by measuring the time required for an ultrasonic pulse to
reach a target, reflect from it, and return. When calibrated properly, the device uses the speed of sound appropriate for the ambient air
temperature to determine the distance between the theodolite and the target. Suppose a theodolite is calibrated so that it gives the
correct value for a distance when used at a temperature of 291 K. When used at a temperature of 306 K, however, the device gives an
incorrect value for the same distance. What percentage error would there be in the incorrect value measured by the theodolite? If the
incorrect value is too big, then give the error percentage as a positive number. If the incorrect value is too small, then give the error
percentage as a negative number. Assume that air behaves as an ideal gas, so that Equation 16.5 applies.
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Units
Transcribed Image Text:Current Attempt in Progress Refer to Multiple-Concept Example 4 for a review of the concepts that play roles in this problem. Civil engineers use a transit theodolite when surveying. One version of this device determines distance by measuring the time required for an ultrasonic pulse to reach a target, reflect from it, and return. When calibrated properly, the device uses the speed of sound appropriate for the ambient air temperature to determine the distance between the theodolite and the target. Suppose a theodolite is calibrated so that it gives the correct value for a distance when used at a temperature of 291 K. When used at a temperature of 306 K, however, the device gives an incorrect value for the same distance. What percentage error would there be in the incorrect value measured by the theodolite? If the incorrect value is too big, then give the error percentage as a positive number. If the incorrect value is too small, then give the error percentage as a negative number. Assume that air behaves as an ideal gas, so that Equation 16.5 applies. Number Units
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