How Are Logarithms Applied to Real Life Situations?
Logarithms are sometimes complicated to understand. Many may ask, what is a logarithm? According to dictionary.com, logarithms are “the exponent of the power to which a base number must be raised to equal a given number (www.dictionary.com).” There are two types of logarithms: common and natural. Common logarithms utilize a base of 10. Natural logarithms utilize a base of e. The focus of this paper is to discuss how natural logarithms are used to determine the number of minutes a runner’s pulse will be 70 beats per minute. A person’s pulse is affected when they are engaged in a physical sport such as running. Runners pace themselves so they do not become overexerted. A person’s pulse is measured by the number of times a heart beats per minute. According to the LiveStrong Foundation, “the heart beats 60 to 100 times per minute when most people are at rest, but the resting heart rate is
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Then I divided both sides by 145 to isolate t. I used the definition of logarithm to solve for t. I performed my calculations on a TI-83 calculator by pressing the LN key and (0.4827586207). This gave me the answer of
-0.7282385003. Divide both sides of the equation by -0.092 and solve for t. The answer for t is 7.915635873. In the end, the runner’s pulse will be beating at 70 beats in 7.9 minutes or 8 minutes. A graph was created through Desmos.com using the function that was given: I created my graph by entering the original function P(t) = 145e-0.092 in the first box. In the second box, I entered y = 70. My graph is now created. Where the red line crosses the blue, I plotted a dot where it was closer to 8 minutes. I also plotted a dot on the blue line closest to 70 beats. As one can see, the answer on the graph is the same as my calculations
It increases during physical exercise to deliver extra oxygen to the tissues and to take away excess carbon dioxide. As mentioned at rest, the heart beats around 75 beats per minute but during exercise this could exceed to 200 times per minute. The SAN controls the heart rate. The rate increases or decreases when it receives information by two autonomic nerves that link the SAN and the cardiovascular centre in the medulla of the brain. The sympathetic or accelerator nerve speeds up the heart. The synapses at the end of this nerve secretes noradrenaline. A parasympathetic or decelerator nerve, a branch of the vagus nerve slows down the heart and the synapses at the end of this nerve secretes
Count the number of heartbeats in 15 seconds by tapping a pencil on a piece of paper.
In this article, it tells how an EKG scan is on grid paper and each small block, which is one millimeter (mm) long, represents 0.04 seconds and each larger box, which is five millimeters long, represents 0.2 seconds. On a EKG scan, the voltage of the heart is measured in millivolts (mV) along the y-axis. On the scan grid, ten millimeters is equal to one millivolt. According to this source, in order to calculate the beats per minute (BPM), one divides the number of number of large boxes between each heart beat (QRS wave) in 300 small boxes. However, that used for a more consistent and steady heart rate. For a more varied and irregular rhythm, one has to count the number of QRS waves in six seconds and then multiply that number by ten. For an example, if there are eight QRS waves, then the estimated heart rate would be 80
Blood contains a lot of water, the cells in Marks body began to pull water from the bloodstream, forcing the organs to work harder; therefore his blood pressure was low. So Marks pulse rate would increase because the heart needs to be able to pump blood faster than usual.
The first participant measured her pulse rate for 30 seconds before starting the exercise. Her pulse rate was calculated to determine the number of beats per minute. She then stepped on the platform (up and down) and continued at a slow pace for 3 minutes. After three minutes of the exercise, she measured her pulse rate every minute to determine her recovery time. This process was repeated until her pulse rate returned to normal.
Results: The experiments required the starting, ending, and total times of each run number. To keep the units for time similar, seconds were used. An example of how to convert minutes to seconds is: 2 "minutes" x "60 seconds" /"1 minute" ="120" "seconds" (+ number of seconds past the minute mark)
When you run the heart rate increases to provide muscles and other tissues. with the additional oxygen they need. The typical heart rate is 72 beats per minute. Then the snares were snares. Each beat gives out 2-3 ounces of blood pumped into the arterial.
The purpose of this experiment was to gather data on how the amount of time spent active impacts the speed of heart rate in beats per minute. The hypothesis stated that if the amount of time active is lengthened then the speed of the heart rate is expected to rise because when one is active, the cells of the body are using the oxygen quickly. The heart then needs to speed up in order to maintain homeostasis by rapidly providing oxygen to the working cells. The hypothesis is accepted because the data collected supports the initial prediction. There is a relationship between the amount of time spent active and the speed of heart rate: as the amount of time spent active rose, the data displayed that the speed that the heart was beating at had also increased. This relationship is visible in the data since the average resting heart rate was 79 beats per minutes, while the results show that the average heart rate after taking part in 30 seconds of activity had risen to 165 beats per minute, which is a significantly larger amount of beats per minute compared to the resting heart rate. Furthermore, the average heart rates after 10 and 20 seconds of activity were 124 and 152 beats per minute, and both of which are higher than the original average resting heartbeat of 79.
To determine if the intensity of exercise affects the heart rate of a 15-year-old boy. Apparatus - 2 stopwatches - 1 laptop (beep test) - 1 fire glass tape (min. 20 meters) - Chalk to mark 20 meters (start to finish). Method 1) Get beep test ready on laptop from - http://www.youtube.com/watch?v=e0U_yQITBks - 2) Bring five male subjects ready at the starting line to run the beep test. 3) Mark 20 meters on the ground outside on the AstroTurf using a long tape.
= The results that I have gathered from my experiment I have put into graph form. From my results I have found out that the more I exercise the longer I exercise the longer it takes for my pulse to return to normal, I think that I did not reach my potential maximum heart rate because the exercised was not strenuous enough for my body. I also discovered that when taking my pulse it takes a few seconds for the strong pulse to get back to the surface.
The two major things that will help an athlete while measuring the cardiovascular drift are progression and hydration levels. The heart rate of an athlete working hard during a workout should be no more than their maximum heart rate which is found by, if you’re a female take 226-age, if you’re a male take 220-age. If while doing a workout the maximum heart rate is exceeded by too much it may be necessary to take a break or slow down greatly. This may also help with traking the hydration of an athlete. If an athlete stays hydrated their core temperature will stay regulated which means they won’t sweat as much, which also means the heart won’t be under as much stress while transporting the oxygenated blood throughout the body to the
Investigating the Effect of Exercise on the Heart Rate Introduction For it's size the heart has the huge capacity of pumping large amounts of blood, in the average adult's heart beats 60 to 100 times a minute, pumps between 70ml and 100ml of blood with each beat, circulates 5 to 6 litres of blood around the body per minute and about 13 litres of blood per minute during vigorous exercise. The heart will beat more then 2.5 billion times during an average lifetime. This investigation will be looking at the effect of exercise on the heart rate. Aim The aim of this investigation is to find out how exercise affects the heart rate, using research & experimenting on changes and increases in the heart rate using exercise. Research â— The heart The normal heart is a strong, hardworking pump made of muscle tissue.
Pulse rates can vary from 60 up wards to about a 180 (this is the
D. standing near her room, breathing sharply. While asked what has just happened, she answered, ‘I feel dizzy and can faint!’ Mrs. D. then explained that she rose up from her chair in the television room and felt lightheaded. I decided to bring her to the room hoping she would feel less dizziness if she could sit. After consultation with my mentor and third year unit nursing student, I decided to perform measurement of her vital signs. Since only electronic sphygmomanometer was available for me that time, I had to use it for my procedure. Gladly, I discovered that I have already used such equipment in my previous nursing practice. Using the standard sized calf, I found that her blood pressure was 135/85, respirations were 16, and her pulse was 96 beats per minute (bpm). However, I decided to recheck the pulse manually, founding that it was irregular (78 bpm). The patient stated that she felt better after rest. Immediately after the incident I made a decision to explore carefully the medical chart of Mrs. D., along with her nursing care plan. That helped me to discover multiple medical diagnoses influencing her
The materials used: one wristwatch (with second hand), two variably indifferent humans (one male, one female), and a standard staircase at CCC. The method was simple: two test subjects were exposed to two trials involving one minute of physical activity and x minutes needed for the recovery of the heart rate. Before the experiment began, each subject's resting heart rate was taken. This would become the controlled variable. Next, each subject ran up one set of stairs at CCC, one stair at a time, for one minute. After one minute of activity, the subjects stopped and began taking his or her heart rate.