Dimensional analysis a. How many seconds are in a (non-leap) year? In doing this

Question

Dimensional analysis a. How many seconds are in a (non-leap) year? In doing this calculation, which do you think gives the most accurate result - using 365 days per year, using 30 days/mo x 12 mos/yr, or using 7 days/week x 4 weeks/mo x 12 mos/yr ? Explain your reasoning. b. How many centimeters are in a mile? (Use 2.54 cm/in) c. EZ Cheez blends 2 tons of a sharp cheddar and 1 ton of a soft cheese a day to make its EZ Cheez blend. EZ Cheez is packaged into 12 oz. containers. How many containers per day does it output?

Explanation / Answer

a) In leap year there are 366 days.

In a day there are = 24 * 60 * 60 seconds

So, in leap year there are = 366 * 24 * 60 * 60 seconds = 31622400 seconds

b) 1 inch has 2.54 cm

Also, 1 mile has 63360 inches

So, 1 mile has 63360 * 2.54 = 160934 cm

c) 1 tonne = 35274 ounce

1 blend contains 3 tonne = 3 * 35274 ounces = 105822 ounces

So, number of containers = 105822/12 = 8819 containers

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