College Physics
1st Edition
ISBN: 9781938168000
Author: Paul Peter Urone, Roger Hinrichs
Publisher: OpenStax College
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Chapter 1, Problem 21PE
A person measures his or her heart rate by counting the number of beats in 30 s. If
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A person measures his or her heart rate by counting the number of beats in 30s. If 40+1 beats are counted in 30.0 + 0.5s , what is the heart rate and its uncertainty in beats per minute?
(a)
How many significant figures are in the numbers 999.0 and 1000.0?
999.01000.0
(b)
If the uncertainty in each number is 10, what is the percent uncertainty in each? (Give your answer to 4 significant figures.)
999.0 %1000.0 %
(c)
Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties?
An infant's pulse rate is measured to be (130+ 5.0) beats/min. What is the percent
uncertainty in this measurement?
The percent uncertainty is
%.
Chapter 1 Solutions
College Physics
Ch. 1 - Models are particularly useful in relativity and...Ch. 1 - How does a model differ from a theory?Ch. 1 - If two different theories describe experimental...Ch. 1 - What determines the validity of a theory?Ch. 1 - Certain criteria must be satisfied if a...Ch. 1 - Can the validity of a model be limited, or must it...Ch. 1 - Classical physics is a good approximation to...Ch. 1 - When is it necessary to use relativistic quantum...Ch. 1 - Can classical physics be used to accurately...Ch. 1 - Identify some advantages of metric units.
Ch. 1 - What is the relationship between the accuracy and...Ch. 1 - Prescriptions for vision correction are given in...Ch. 1 - The speed limit on some interstate highways is...Ch. 1 - A car is traveling at a speed of 33 m/s. (a) What...Ch. 1 - Show that 1.0m/s=3.6Km/h. Hint: Show the explicit...Ch. 1 - American football is played on a 100-yd-long...Ch. 1 - Soccer fields vary in size. A large soccer field...Ch. 1 - What is the height in meters of a person who is 6...Ch. 1 - Mount Everest, at 29,028 feet, is the tallest...Ch. 1 - The speed of sound is measured to be 342 m/s on a...Ch. 1 - Tectonic plates are large segments of the Earth's...Ch. 1 - (a) Refer to Table 1.3 to determine the average...Ch. 1 - Suppose that your bathroom scale reads your mass...Ch. 1 - A good-quality measuring tape can be off by 0.50...Ch. 1 - (a) A car speedometer has a 5.0% uncertainty. What...Ch. 1 - An infant's pulse rate is measured to be 1305...Ch. 1 - (a) Suppose that a person has an average heart...Ch. 1 - A can contains 375 mL of soda. How much is left...Ch. 1 - State how many significant figures are proper in...Ch. 1 - (a) How many significant figures are in the...Ch. 1 - (a) If your speedometer has an uncertainty of 2.0...Ch. 1 - (a) A person's blood pressure is measured to be...Ch. 1 - A person measures his or her heart rate by...Ch. 1 - What is the area of a circle 3.102 cm in diameter?Ch. 1 - If a marathon runner averages 9.5 mi/h, how long...Ch. 1 - A marathon runner completes a 42.188-km course in...Ch. 1 - The sides of a small rectangular box are measured...Ch. 1 - When non-metric units were used in the United...Ch. 1 - The length and width of a rectangular room are...Ch. 1 - A car engine moves a piston with a circular cross...Ch. 1 - How many heartbeats are there in a lifetime?Ch. 1 - A generation is about one-third of a lifetime....Ch. 1 - How many times longer than the mean life of an...Ch. 1 - Calculate the approximate number of atoms in a...Ch. 1 - Approximately how many atoms thick is a cell...Ch. 1 - (a) What fraction of Earth's diameter is the...Ch. 1 - (a) Calculate the number of cells in a hummingbird...Ch. 1 - Assuming one nerve impulse must end before another...
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- A calculator displays a result as 1.365 218 0 X 107 kg. The estimated uncertainty in the result is 2%. How many digits should be included as significant when the result is written down? (a) zero (b) one (c) two (d) three (e) fourarrow_forwardRoughly how many heartbeats are there in a lifetime?arrow_forward(a) A person's blood pressure is measured to be 1202 mm Hg. What is its percent uncertainty? (b) Assuming the same percent uncertainty, what is the uncertainty in a blood pressure measurement of 80 mm Hg?arrow_forward
- (a) If your speedometer has an uncertainty of 2.0 km/h at a speed of 90 km/h, what is the percent uncertainty? (b) If it has the same percent uncertainty when it reads 60 km/h, what is the range of speeds you could be going?arrow_forwardA marathon runner completes a 42.188-km course in 2 h, 30 min, and 12s. There is an uncertainty of 25 m in the distance traveled and an uncertainty of 1 s in the elapsed time. (a) Calculate the percent uncertainty in the distance. (b) Calculate the percent uncertainty in the elapsed time. (C) What is the average speed in meters per second? (d) What is the uncertainty in the average speed?arrow_forward(a) How many significant figures are in the numbers 99.0 and 100.0? 99.0 100.0 (b) If the uncertainty in each number is 1, what is the percent uncertainty in each? (Give your answer to 3 significant figures.) 99.0 % 100.0 % (c) Which is a more meaningful way to express the accuracy of these two numbers, significant figures or percent uncertainties? significant figurespercent uncertaintiesarrow_forward
- Time intervals measured with a stopwatch typically have an uncertainty of about 0.2 s, due to human reaction time at the start and stop moments. What is the percent uncertainty of a hand-timed measurement of (a) 5.5 s, (b) 55 s, (c) 5.5 min?arrow_forwardWhat, roughly, is the percent uncertainty in the volume of a spherical beach ball of radius r = 0.84 ± 0.04 m?arrow_forwardSee attached for questionarrow_forward
- The radius of a sphere is known to be r = 6.27 ± 0.06 cm. The volume of a sphere is given by (4/3)?r3. Find the absolute uncertainty and the percent uncertainty in the volume of the sphere. absolute uncertainty cm3 percent uncertaintyarrow_forwardWhat is the percent uncertainty in the area of a circle whose radius is 1.8 × 104 cm?arrow_forwardWhat, roughly, is the percent uncertainty in the volume of a spherical beach ball of radius r = 0.8460.04 m?arrow_forward
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