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1. A typical person has an average heart rate of 73.0 beats/min. Calculate the f

ID: 1573203 • Letter: 1

Question

1. A typical person has an average heart rate of 73.0 beats/min. Calculate the following: (a) How many beats does she have in 8.0 years? (b) How many beats in 8.00 years? (c) And finally, how many beats in 8.000 years? Pay close attention to significant figures in this question.

HINT: You are asked to calculate the total number of heartbeats for three different time periods. Notice that each time period given has a different number of significant figures. As such, you will need to report each answer with the correct number of significant figures.

Explanation / Answer

(a) To calculate the number of beats she has in 8.0 years, we need to multiply 73.0

beats/minute by 8.0 years and use conversion factors to cancel the units of time

73.0 beats/1min × 60.0min/1.00h × 24.0h/1.00d × 365d/1.00y × 8.0y = 3.069×10^8 beats

Since there are only 2 significant figures in 8.0 years, we must report the answer

with 2 significant figures: 3.0×10^8 beats

(b) Since we now have 3 significant figures in 8.00 years, we now report the answer

with 3 significant figures: 3.06* 10^8 beats

(c) Even though we now have 4 significant figures in 8.000 years, the 73.0

beats/minute only has 3 significant figures, so we must report the answer with 3

significant figures: 3.06*10^8 beats