Hair grows at the rate of one centimeter a month. What is the rate expressed in nanometers per second.
There are one billion nm in a meter. There are 100 cm in a meter.
Please HELP. Can you please write out how you found the answer.
Sure! To find the rate of hair growth in nanometers per second, we need to convert the given rate from centimeters per month to nanometers per second.
First, we need to convert centimeters to meters, as there are 100 centimeters in 1 meter. Therefore, hair growth rate of 1 centimeter per month is equivalent to 0.01 meters per month.
Next, we convert meters to nanometers. Since there are one billion nanometers in a meter, we can multiply 0.01 meters by one billion to get the rate in nanometers per month.
0.01 meters * 1,000,000,000 nm/m = 10,000,000 nm/month
Lastly, we need to convert the monthly rate to a rate per second. To convert months to seconds, we need to know how many seconds are in a month.
Assuming there are 30 days in a month, we can use the following calculations:
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds
So, there are 30 days * 24 hours * 60 minutes * 60 seconds = 2,592,000 seconds in a month.
Finally, we divide the rate in nanometers per month by the number of seconds in a month to find the rate in nanometers per second:
10,000,000 nm/month / 2,592,000 seconds = 3.86 nanometers/second (rounded to two decimal places)
Therefore, the rate of hair growth can be expressed as approximately 3.86 nanometers per second.