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1.51 Perform the following conversions:

(a) 5.00 days to seconds (s)

(b) 0.0550 miles (mi) to meters (m)

(c) $1.89 per gallon (gal) to dollars per liter

(d) 0.510 inches per millisecond (in./ms) to kilometers per hour (km/hr)

(e) 22.50 gallons per minute (gal/min) to liters per second (L/s)

(f) 0.02500 cubic feet (ft³) to cubic centimeters (cm³)

Answer :

Final answer:

This detailed answer explains how to convert various units of measurement such as days to seconds, miles to meters, dollars per gallon to dollars per liter, inches per millisecond to kilometers per hour, gallons per minute to liters per second, and cubic feet to cubic centimeters.

The correct answer is:

(a) Conversion from days to seconds:

  • 5.00 days = 432,000 seconds

(b) Conversion from miles to meters:

  • 0.0550 miles = 88.495 meters

(c) Conversion from dollars per gallon to dollars per liter:

  • $1.89/gallon = $0.500/liter

(d) Conversion from inches per millisecond to kilometers per hour:

  • 0.510 inches/millisecond = 13.06 kilometers/hour

(e) Conversion from gallons per minute to liters per second:

  • 22.50 gallons/minute = 1.589 liters/second

(f) Conversion from cubic feet to cubic centimeters:

  • 0.02500 cubic feet = 706.29 cubic centimeters

Explanation:

(a) Conversion from days to seconds:

To convert days to seconds, we can use the conversion factor of 1 day = 86,400 seconds. Therefore, to convert 5.00 days to seconds, we multiply:

  • 5.00 days * 86,400 seconds/day = 432,000 seconds

(b) Conversion from miles to meters:

To convert miles to meters, we can use the conversion factor of 1 mile = 1,609 meters. Therefore, to convert 0.0550 miles to meters, we multiply:

  • 0.0550 miles * 1,609 meters/mile = 88.495 meters

(c) Conversion from dollars per gallon to dollars per liter:

To convert dollars per gallon to dollars per liter, we can use the conversion factor of 3.78541 liters per gallon. Therefore, to convert $1.89 per gallon to dollars per liter, we multiply:

  • $1.89/gallon * (1 gallon/3.78541 liters) = $0.500/liter

(d) Conversion from inches per millisecond to kilometers per hour:

To convert inches per millisecond to kilometers per hour, we need to convert the units first. There are 0.0254 meters in an inch and 3.6 × 10^6 milliseconds in an hour. Therefore, to convert 0.510 inches per millisecond to kilometers per hour, we multiply:

  • 0.510 inches/millisecond * (0.0254 meters/inch) * (3.6 × 10^6 milliseconds/hour) = 13.06 kilometers/hour

(e) Conversion from gallons per minute to liters per second:

To convert gallons per minute to liters per second, we can use the conversion factor of 3.78541 liters per gallon and 60 seconds in a minute. Therefore, to convert 22.50 gallons per minute to liters per second, we multiply:

  • 22.50 gallons/minute * (3.78541 liters/gallon) * (1 minute/60 seconds) = 1.589 liters/second

(f) Conversion from cubic feet to cubic centimeters:

To convert cubic feet to cubic centimeters, we can use the conversion factor of 2.54 centimeters per inch and 30.48 centimeters per foot. Therefore, to convert 0.02500 cubic feet to cubic centimeters, we multiply:

  • 0.02500 cubic feet * (12 inches/foot) * (2.54 centimeters/inch)^3 = 706.29 cubic centimeters

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