1. Use Dimensional Analysis to solve the following problems. a. How many seconds old are you? (Express with 2 sig figs in scientific notation.)

Question

i am 14 yrs my bday is july 17 i was born in 2001 

Answer 1

1 year = 365/1 days

1 day = 24/1 hours

1 hour = 60/1 minutes

1 minute = 60/1 seconds

14 years = 14*(365/1) = 5110 days

5110 days = 5110*(24/1) = 122640 hours

122640 hours = 122640*(60/1)= 7358400 minutes

7358400 minutes = 7358400*(60/1) = 441504000 seconds = 4.41504 x 10^8

 

In 1 long set up it would be 14years*(365/1)days*(24/1)hours*(60/1)minutes*(60/1)seconds = 441504000 seconds

the units cancel as the multiplications happen and only the measurement of seconds is left with the numeric values!